TÁMOP /2/A/KMR

Size: px
Start display at page:

Download "TÁMOP /2/A/KMR"

Transcription

1 ECONOMIC STATISTICS

2 ECONOMIC STATISTICS Sonsored by a Gran TÁMOP /2/A/KMR Course Maerial Develoed by Dearmen of Economics, Faculy of Social Sciences, Eövös Loránd Universiy Budaes (ELTE) Dearmen of Economics, Eövös Loránd Universiy Budaes Insiue of Economics, Hungarian Academy of Sciences Balassi Kiadó, Budaes

3

4 ELTE Faculy of Social Sciences, Dearmen of Economics ECONOMIC STATISTICS Auhor: Anikó Bíró Suervised by Anikó Bíró June 200

5 ECONOMIC STATISTICS Week AR models Anikó Bíró

6 AR() model U o now: AR() model Sloe saionariy AR() model: auoregression of order ρ=0 uni roo -2<ρ<0 - saionary e e

7 AR() model modified form e e

8 Uni roo has a uni roo canno be included in he regression! Exemion: coinegraion Differenced value (Δ) has o be used! Δ sacionary difference saionary : has sochasic rend

9 Deerminisic rend Examle: e, saionary rend saionary Grah: similar o sochasic rend no enough o make a decision on uni roo

10 Examle AR(4) model AR(4) model wih deerminisic rend: Generae differenced variables Differenced variables: 3 lags Coefficien of - = 0? e

11 Seasonaliy Paern recurring a regular inervals Examle: consumion, agriculural roducion, exor Treamen: variables indicaing seasonaliy Quarerly: 3 dummies! Monhly: dummies! Or: seasonal adjusmen KSH: seasonally adjused ime series

12 Secificaion choice... e Maximal lag lengh ( max ) Esimae AR( max ) model wih or wihou deerminisic rend (according o he deenden variable, based on assumion!) Tes Γ max- =0 (-es) if saisfied: decrease lag lengh by one

13 Uni roo es Tesing ρ=0: usual -es canno be used! Dickey Fuller-es: use -saisic, bu criical values are correced Problem: weak es can find uni roo even if i is no resen Examle: rend saionary ime series, srucural break

14 Dickey Fuller-es Quesion: include rend? Null hyohesis: uni roo Large -value: has uni roo, no saionary

15 Uni roo es examle Monly exor daa Seasonally adjused Trend Null Hyohesis: EXPORT_SA has a uni roo Exogenous: Consan, Linear Trend Lag Lengh: 3 (Auomaic based on SIC, MAXLAG=3) -Saisic Prob. Augmened Dickey Fuller-es sa. -2,86 0,530 Tes criical values: % level -4,080 5% level -3,4389 0% level -3,438

16 Summary AR() model, modified form Uni roo in AR() models Trend saionariy Seasonaliy Dickey Fuller-es

17 AR models Seminar

18 AR() model AR() model: auoregression of order ρ=0 uni roo -2<ρ<0 - saionary e e

19 Uni roo has a uni roo canno be included in he regression! Exemion: coinegraion Differenced value (Δ) has o be used! Δ saionary difference saionary : has sochasic rend

20 Examle monhly exor MNB daa (m EUR) Esimaion of AR(4) model wih deerminisic rend: Generae differenced variables Differenced variables: 3 lags Coefficien of - = 0? e

21 Seasonaliy Paern recurring a regular inervals Treamen: variables indicaing seasonaliy Quarerly: 3 dummies Monhly: dummies

22 Seasonaliy examle Monhly exor daa 2 seasonal dummies: mulicollineariy EViews error message EViews: Procs/Seasonal adjusmen

23 Secificaion choice... e Maximal lag lengh ( max ) Esimae AR( max ) mode wih or wihou deerminisic rend Tes Γ max- =0 (-es) if saisfied: decrease lag lengh by one Tes he significance of rend afer lag lengh selecion Examle: AR() model for firs differenced log exor ime series (use seasonally adjused daa!)

24 Dickey Fuller-es Tes uni roo View/Uni roo es Oion: auomaic lag lengh selecion Quesion: include rend? Null hyohesis: uni roo Large -value: has uni roo, no saionary

25 Uni roo es Monhly exor daa (MNB) Seasonally adjused Trend? Inerre ouu Is he differenced variable saionary? Quarerly ublic deb daa (MNB) Trend?

Licenciatura de ADE y Licenciatura conjunta Derecho y ADE. Hoja de ejercicios 2 PARTE A

Licenciatura de ADE y Licenciatura conjunta Derecho y ADE. Hoja de ejercicios 2 PARTE A Licenciaura de ADE y Licenciaura conjuna Derecho y ADE Hoja de ejercicios PARTE A 1. Consider he following models Δy = 0.8 + ε (1 + 0.8L) Δ 1 y = ε where ε and ε are independen whie noise processes. In

More information

Chickens vs. Eggs: Replicating Thurman and Fisher (1988) by Arianto A. Patunru Department of Economics, University of Indonesia 2004

Chickens vs. Eggs: Replicating Thurman and Fisher (1988) by Arianto A. Patunru Department of Economics, University of Indonesia 2004 Chicens vs. Eggs: Relicaing Thurman and Fisher (988) by Ariano A. Paunru Dearmen of Economics, Universiy of Indonesia 2004. Inroducion This exercise lays ou he rocedure for esing Granger Causaliy as discussed

More information

Vectorautoregressive Model and Cointegration Analysis. Time Series Analysis Dr. Sevtap Kestel 1

Vectorautoregressive Model and Cointegration Analysis. Time Series Analysis Dr. Sevtap Kestel 1 Vecorauoregressive Model and Coinegraion Analysis Par V Time Series Analysis Dr. Sevap Kesel 1 Vecorauoregression Vecor auoregression (VAR) is an economeric model used o capure he evoluion and he inerdependencies

More information

STAD57 Time Series Analysis. Lecture 17

STAD57 Time Series Analysis. Lecture 17 STAD57 Time Series Analysis Lecure 17 1 Exponenially Weighed Moving Average Model Consider ARIMA(0,1,1), or IMA(1,1), model 1 s order differences follow MA(1) X X W W Y X X W W 1 1 1 1 Very common model

More information

STAD57 Time Series Analysis. Lecture 17

STAD57 Time Series Analysis. Lecture 17 STAD57 Time Series Analysis Lecure 17 1 Exponenially Weighed Moving Average Model Consider ARIMA(0,1,1), or IMA(1,1), model 1 s order differences follow MA(1) X X W W Y X X W W 1 1 1 1 Very common model

More information

Cointegration and Implications for Forecasting

Cointegration and Implications for Forecasting Coinegraion and Implicaions for Forecasing Two examples (A) Y Y 1 1 1 2 (B) Y 0.3 0.9 1 1 2 Example B: Coinegraion Y and coinegraed wih coinegraing vecor [1, 0.9] because Y 0.9 0.3 is a saionary process

More information

Lecture 5. Time series: ECM. Bernardina Algieri Department Economics, Statistics and Finance

Lecture 5. Time series: ECM. Bernardina Algieri Department Economics, Statistics and Finance Lecure 5 Time series: ECM Bernardina Algieri Deparmen Economics, Saisics and Finance Conens Time Series Modelling Coinegraion Error Correcion Model Two Seps, Engle-Granger procedure Error Correcion Model

More information

Box-Jenkins Modelling of Nigerian Stock Prices Data

Box-Jenkins Modelling of Nigerian Stock Prices Data Greener Journal of Science Engineering and Technological Research ISSN: 76-7835 Vol. (), pp. 03-038, Sepember 0. Research Aricle Box-Jenkins Modelling of Nigerian Sock Prices Daa Ee Harrison Euk*, Barholomew

More information

- The whole joint distribution is independent of the date at which it is measured and depends only on the lag.

- The whole joint distribution is independent of the date at which it is measured and depends only on the lag. Saionary Processes Sricly saionary - The whole join disribuion is indeenden of he dae a which i is measured and deends only on he lag. - E y ) is a finie consan. ( - V y ) is a finie consan. ( ( y, y s

More information

Methodology. -ratios are biased and that the appropriate critical values have to be increased by an amount. that depends on the sample size.

Methodology. -ratios are biased and that the appropriate critical values have to be increased by an amount. that depends on the sample size. Mehodology. Uni Roo Tess A ime series is inegraed when i has a mean revering propery and a finie variance. I is only emporarily ou of equilibrium and is called saionary in I(0). However a ime series ha

More information

How to Deal with Structural Breaks in Practical Cointegration Analysis

How to Deal with Structural Breaks in Practical Cointegration Analysis How o Deal wih Srucural Breaks in Pracical Coinegraion Analysis Roselyne Joyeux * School of Economic and Financial Sudies Macquarie Universiy December 00 ABSTRACT In his noe we consider he reamen of srucural

More information

Nonstationarity-Integrated Models. Time Series Analysis Dr. Sevtap Kestel 1

Nonstationarity-Integrated Models. Time Series Analysis Dr. Sevtap Kestel 1 Nonsaionariy-Inegraed Models Time Series Analysis Dr. Sevap Kesel 1 Diagnosic Checking Residual Analysis: Whie noise. P-P or Q-Q plos of he residuals follow a normal disribuion, he series is called a Gaussian

More information

Stability. Coefficients may change over time. Evolution of the economy Policy changes

Stability. Coefficients may change over time. Evolution of the economy Policy changes Sabiliy Coefficiens may change over ime Evoluion of he economy Policy changes Time Varying Parameers y = α + x β + Coefficiens depend on he ime period If he coefficiens vary randomly and are unpredicable,

More information

Chapter 16. Regression with Time Series Data

Chapter 16. Regression with Time Series Data Chaper 16 Regression wih Time Series Daa The analysis of ime series daa is of vial ineres o many groups, such as macroeconomiss sudying he behavior of naional and inernaional economies, finance economiss

More information

Department of Economics East Carolina University Greenville, NC Phone: Fax:

Department of Economics East Carolina University Greenville, NC Phone: Fax: March 3, 999 Time Series Evidence on Wheher Adjusmen o Long-Run Equilibrium is Asymmeric Philip Rohman Eas Carolina Universiy Absrac The Enders and Granger (998) uni-roo es agains saionary alernaives wih

More information

Wisconsin Unemployment Rate Forecast Revisited

Wisconsin Unemployment Rate Forecast Revisited Wisconsin Unemploymen Rae Forecas Revisied Forecas in Lecure Wisconsin unemploymen November 06 was 4.% Forecass Poin Forecas 50% Inerval 80% Inerval Forecas Forecas December 06 4.0% (4.0%, 4.0%) (3.95%,

More information

Arima Fit to Nigerian Unemployment Data

Arima Fit to Nigerian Unemployment Data 2012, TexRoad Publicaion ISSN 2090-4304 Journal of Basic and Applied Scienific Research www.exroad.com Arima Fi o Nigerian Unemploymen Daa Ee Harrison ETUK 1, Barholomew UCHENDU 2, Uyodhu VICTOR-EDEMA

More information

Distribution of Least Squares

Distribution of Least Squares Disribuion of Leas Squares In classic regression, if he errors are iid normal, and independen of he regressors, hen he leas squares esimaes have an exac normal disribuion, no jus asympoic his is no rue

More information

STAD57 Time Series Analysis. Lecture 5

STAD57 Time Series Analysis. Lecture 5 STAD57 Time Series Analysis Lecure 5 1 Exploraory Daa Analysis Check if given TS is saionary: µ is consan σ 2 is consan γ(s,) is funcion of h= s If no, ry o make i saionary using some of he mehods below:

More information

Introduction D P. r = constant discount rate, g = Gordon Model (1962): constant dividend growth rate.

Introduction D P. r = constant discount rate, g = Gordon Model (1962): constant dividend growth rate. Inroducion Gordon Model (1962): D P = r g r = consan discoun rae, g = consan dividend growh rae. If raional expecaions of fuure discoun raes and dividend growh vary over ime, so should he D/P raio. Since

More information

Time series Decomposition method

Time series Decomposition method Time series Decomposiion mehod A ime series is described using a mulifacor model such as = f (rend, cyclical, seasonal, error) = f (T, C, S, e) Long- Iner-mediaed Seasonal Irregular erm erm effec, effec,

More information

Quarterly ice cream sales are high each summer, and the series tends to repeat itself each year, so that the seasonal period is 4.

Quarterly ice cream sales are high each summer, and the series tends to repeat itself each year, so that the seasonal period is 4. Seasonal models Many business and economic ime series conain a seasonal componen ha repeas iself afer a regular period of ime. The smalles ime period for his repeiion is called he seasonal period, and

More information

International Parity Relations between Poland and Germany: A Cointegrated VAR Approach

International Parity Relations between Poland and Germany: A Cointegrated VAR Approach Research Seminar a he Deparmen of Economics, Warsaw Universiy Warsaw, 15 January 2008 Inernaional Pariy Relaions beween Poland and Germany: A Coinegraed VAR Approach Agnieszka Sążka Naional Bank of Poland

More information

Nonstationary Time Series Data and Cointegration

Nonstationary Time Series Data and Cointegration ECON 4551 Economerics II Memorial Universiy of Newfoundland Nonsaionary Time Series Daa and Coinegraion Adaped from Vera Tabakova s noes 12.1 Saionary and Nonsaionary Variables 12.2 Spurious Regressions

More information

Application of Statistical Methods of Time-Series for Estimating and Forecasting the Wheat Series in Yemen (Production and Import)

Application of Statistical Methods of Time-Series for Estimating and Forecasting the Wheat Series in Yemen (Production and Import) American Journal of Alied Mahemaics 16; 4(3): 14-131 h://www.scienceublishinggrou.com/j/ajam doi: 1.11648/j.ajam.1643.1 ISSN: 33-43 (Prin); ISSN: 33-6X (Online) Mehodology Aricle Alicaion of Saisical Mehods

More information

Ready for euro? Empirical study of the actual monetary policy independence in Poland VECM modelling

Ready for euro? Empirical study of the actual monetary policy independence in Poland VECM modelling Macroeconomerics Handou 2 Ready for euro? Empirical sudy of he acual moneary policy independence in Poland VECM modelling 1. Inroducion This classes are based on: Łukasz Goczek & Dagmara Mycielska, 2013.

More information

A multivariate labour market model in the Czech Republic 1. Jana Hanclová Faculty of Economics, VŠB-Technical University Ostrava

A multivariate labour market model in the Czech Republic 1. Jana Hanclová Faculty of Economics, VŠB-Technical University Ostrava A mulivariae labour marke model in he Czech Republic Jana Hanclová Faculy of Economics, VŠB-Technical Universiy Osrava Absrac: The paper deals wih an exisence of an equilibrium unemploymen-vacancy rae

More information

ESTIMATION OF DYNAMIC PANEL DATA MODELS WHEN REGRESSION COEFFICIENTS AND INDIVIDUAL EFFECTS ARE TIME-VARYING

ESTIMATION OF DYNAMIC PANEL DATA MODELS WHEN REGRESSION COEFFICIENTS AND INDIVIDUAL EFFECTS ARE TIME-VARYING Inernaional Journal of Social Science and Economic Research Volume:02 Issue:0 ESTIMATION OF DYNAMIC PANEL DATA MODELS WHEN REGRESSION COEFFICIENTS AND INDIVIDUAL EFFECTS ARE TIME-VARYING Chung-ki Min Professor

More information

The Properties of Procedures Dealing with Uncertainty about Intercept and Deterministic Trend in Unit Root Testing

The Properties of Procedures Dealing with Uncertainty about Intercept and Deterministic Trend in Unit Root Testing CESIS Elecronic Working Paper Series Paper No. 214 The Properies of Procedures Dealing wih Uncerainy abou Inercep and Deerminisic Trend in Uni Roo Tesing R. Sco Hacker* and Abdulnasser Haemi-J** *Jönköping

More information

Section 4 NABE ASTEF 232

Section 4 NABE ASTEF 232 Secion 4 NABE ASTEF 3 APPLIED ECONOMETRICS: TIME-SERIES ANALYSIS 33 Inroducion and Review The Naure of Economic Modeling Judgemen calls unavoidable Economerics an ar Componens of Applied Economerics Specificaion

More information

Modeling House Price Volatility States in the UK by Switching ARCH Models

Modeling House Price Volatility States in the UK by Switching ARCH Models Modeling House Price Volailiy Saes in he UK by Swiching ARCH Models I-Chun Tsai* Dearmen of Finance Souhern Taiwan Universiy of Technology, Taiwan Ming-Chi Chen Dearmen of Finance Naional Sun Ya-sen Universiy,

More information

Choice of Spectral Density Estimator in Ng-Perron Test: A Comparative Analysis

Choice of Spectral Density Estimator in Ng-Perron Test: A Comparative Analysis Inernaional Economeric Review (IER) Choice of Specral Densiy Esimaor in Ng-Perron Tes: A Comparaive Analysis Muhammad Irfan Malik and Aiq-ur-Rehman Inernaional Islamic Universiy Islamabad and Inernaional

More information

Why is Chinese Provincial Output Diverging? Joakim Westerlund, University of Gothenburg David Edgerton, Lund University Sonja Opper, Lund University

Why is Chinese Provincial Output Diverging? Joakim Westerlund, University of Gothenburg David Edgerton, Lund University Sonja Opper, Lund University Why is Chinese Provincial Oupu Diverging? Joakim Weserlund, Universiy of Gohenburg David Edgeron, Lund Universiy Sonja Opper, Lund Universiy Purpose of his paper. We re-examine he resul of Pedroni and

More information

Stationary Time Series

Stationary Time Series 3-Jul-3 Time Series Analysis Assoc. Prof. Dr. Sevap Kesel July 03 Saionary Time Series Sricly saionary process: If he oin dis. of is he same as he oin dis. of ( X,... X n) ( X h,... X nh) Weakly Saionary

More information

A Specification Test for Linear Dynamic Stochastic General Equilibrium Models

A Specification Test for Linear Dynamic Stochastic General Equilibrium Models Journal of Saisical and Economeric Mehods, vol.1, no.2, 2012, 65-70 ISSN: 2241-0384 (prin), 2241-0376 (online) Scienpress Ld, 2012 A Specificaion Tes for Linear Dynamic Sochasic General Equilibrium Models

More information

Regression with Time Series Data

Regression with Time Series Data Regression wih Time Series Daa y = β 0 + β 1 x 1 +...+ β k x k + u Serial Correlaion and Heeroskedasiciy Time Series - Serial Correlaion and Heeroskedasiciy 1 Serially Correlaed Errors: Consequences Wih

More information

Frequency independent automatic input variable selection for neural networks for forecasting

Frequency independent automatic input variable selection for neural networks for forecasting Universiä Hamburg Insiu für Wirschafsinformaik Prof. Dr. D.B. Preßmar Frequency independen auomaic inpu variable selecion for neural neworks for forecasing Nikolaos Kourenzes Sven F. Crone LUMS Deparmen

More information

Econ Autocorrelation. Sanjaya DeSilva

Econ Autocorrelation. Sanjaya DeSilva Econ 39 - Auocorrelaion Sanjaya DeSilva Ocober 3, 008 1 Definiion Auocorrelaion (or serial correlaion) occurs when he error erm of one observaion is correlaed wih he error erm of any oher observaion. This

More information

ARE SHOCKS IN THE TOURISM OF V4 COUNTRIES PERMANENT?

ARE SHOCKS IN THE TOURISM OF V4 COUNTRIES PERMANENT? ARE SHOCKS IN THE TOURISM OF V4 COUNTRIES PERMANENT? Šefan Lyócsa Eva Liavcová Pera Vašaničová Absrac We sudy he persisence properies of seasonally adjused number of nighs spen (NNS) in four Cenral and

More information

(10) (a) Derive and plot the spectrum of y. Discuss how the seasonality in the process is evident in spectrum.

(10) (a) Derive and plot the spectrum of y. Discuss how the seasonality in the process is evident in spectrum. January 01 Final Exam Quesions: Mark W. Wason (Poins/Minues are given in Parenheses) (15) 1. Suppose ha y follows he saionary AR(1) process y = y 1 +, where = 0.5 and ~ iid(0,1). Le x = (y + y 1 )/. (11)

More information

A One Line Derivation of DCC: Application of a Vector Random Coefficient Moving Average Process*

A One Line Derivation of DCC: Application of a Vector Random Coefficient Moving Average Process* A One Line Derivaion of DCC: Alicaion of a Vecor Random Coefficien Moving Average Process* Chrisian M. Hafner Insiu de saisique, biosaisique e sciences acuarielles Universié caholique de Louvain Michael

More information

Mean Reversion of Balance of Payments GEvidence from Sequential Trend Break Unit Root Tests. Abstract

Mean Reversion of Balance of Payments GEvidence from Sequential Trend Break Unit Root Tests. Abstract Mean Reversion of Balance of Paymens GEvidence from Sequenial Trend Brea Uni Roo Tess Mei-Yin Lin Deparmen of Economics, Shih Hsin Universiy Jue-Shyan Wang Deparmen of Public Finance, Naional Chengchi

More information

A Hybrid Model for Improving. Malaysian Gold Forecast Accuracy

A Hybrid Model for Improving. Malaysian Gold Forecast Accuracy In. Journal of Mah. Analysis, Vol. 8, 2014, no. 28, 1377-1387 HIKARI Ld, www.m-hikari.com hp://dx.doi.org/10.12988/ijma.2014.45139 A Hybrid Model for Improving Malaysian Gold Forecas Accuracy Maizah Hura

More information

A Point Optimal Test for the Null of Near Integration. A. Aznar and M. I. Ayuda 1. University of Zaragoza

A Point Optimal Test for the Null of Near Integration. A. Aznar and M. I. Ayuda 1. University of Zaragoza A Poin Opimal es for he Null of Near Inegraion A. Aznar and M. I. Ayuda Universiy of Zaragoza he objecive of his paper is o derive a poin opimal es for he null hypohesis of near inegraion (PONI-es). We

More information

Properties of Autocorrelated Processes Economics 30331

Properties of Autocorrelated Processes Economics 30331 Properies of Auocorrelaed Processes Economics 3033 Bill Evans Fall 05 Suppose we have ime series daa series labeled as where =,,3, T (he final period) Some examples are he dail closing price of he S&500,

More information

LONG MEMORY AT THE LONG-RUN AND THE SEASONAL MONTHLY FREQUENCIES IN THE US MONEY STOCK. Guglielmo Maria Caporale. Brunel University, London

LONG MEMORY AT THE LONG-RUN AND THE SEASONAL MONTHLY FREQUENCIES IN THE US MONEY STOCK. Guglielmo Maria Caporale. Brunel University, London LONG MEMORY AT THE LONG-RUN AND THE SEASONAL MONTHLY FREQUENCIES IN THE US MONEY STOCK Guglielmo Maria Caporale Brunel Universiy, London Luis A. Gil-Alana Universiy of Navarra Absrac In his paper we show

More information

Components Model. Remember that we said that it was useful to think about the components representation

Components Model. Remember that we said that it was useful to think about the components representation Componens Model Remember ha we said ha i was useful o hink abou he componens represenaion = T S C Suppose ha C is an AR(p) process Wha model does his impl for? TrendCcle Model For simplici, we sar wih

More information

Modeling and Forecasting Volatility Autoregressive Conditional Heteroskedasticity Models. Economic Forecasting Anthony Tay Slide 1

Modeling and Forecasting Volatility Autoregressive Conditional Heteroskedasticity Models. Economic Forecasting Anthony Tay Slide 1 Modeling and Forecasing Volailiy Auoregressive Condiional Heeroskedasiciy Models Anhony Tay Slide 1 smpl @all line(m) sii dl_sii S TII D L _ S TII 4,000. 3,000.1.0,000 -.1 1,000 -. 0 86 88 90 9 94 96 98

More information

Unit Root Time Series. Univariate random walk

Unit Root Time Series. Univariate random walk Uni Roo ime Series Univariae random walk Consider he regression y y where ~ iid N 0, he leas squares esimae of is: ˆ yy y y yy Now wha if = If y y hen le y 0 =0 so ha y j j If ~ iid N 0, hen y ~ N 0, he

More information

The Validity of the Tourism-Led Growth Hypothesis for Thailand

The Validity of the Tourism-Led Growth Hypothesis for Thailand MPRA Munich Personal RePEc Archive The Validiy of he Tourism-Led Growh Hypohesis for Thailand Komain Jiranyakul Naional Insiue of Developmen Adminisraion Augus 206 Online a hps://mpra.ub.uni-muenchen.de/72806/

More information

ECON 482 / WH Hong Time Series Data Analysis 1. The Nature of Time Series Data. Example of time series data (inflation and unemployment rates)

ECON 482 / WH Hong Time Series Data Analysis 1. The Nature of Time Series Data. Example of time series data (inflation and unemployment rates) ECON 48 / WH Hong Time Series Daa Analysis. The Naure of Time Series Daa Example of ime series daa (inflaion and unemploymen raes) ECON 48 / WH Hong Time Series Daa Analysis The naure of ime series daa

More information

Time Series Test of Nonlinear Convergence and Transitional Dynamics. Terence Tai-Leung Chong

Time Series Test of Nonlinear Convergence and Transitional Dynamics. Terence Tai-Leung Chong Time Series Tes of Nonlinear Convergence and Transiional Dynamics Terence Tai-Leung Chong Deparmen of Economics, The Chinese Universiy of Hong Kong Melvin J. Hinich Signal and Informaion Sciences Laboraory

More information

A complementary test for ADF test with an application to the exchange rates returns

A complementary test for ADF test with an application to the exchange rates returns MPRA Munich Personal RePEc Archive A complemenary es for ADF es wih an applicaion o he exchange raes reurns Venus Khim-Sen Liew and Sie-Hoe Lau and Siew-Eng Ling 005 Online a hp://mpra.ub.uni-muenchen.de/518/

More information

BOX-JENKINS MODEL NOTATION. The Box-Jenkins ARMA(p,q) model is denoted by the equation. pwhile the moving average (MA) part of the model is θ1at

BOX-JENKINS MODEL NOTATION. The Box-Jenkins ARMA(p,q) model is denoted by the equation. pwhile the moving average (MA) part of the model is θ1at BOX-JENKINS MODEL NOAION he Box-Jenkins ARMA(,q) model is denoed b he equaion + + L+ + a θ a L θ a 0 q q. () he auoregressive (AR) ar of he model is + L+ while he moving average (MA) ar of he model is

More information

Description of the MS-Regress R package (Rmetrics)

Description of the MS-Regress R package (Rmetrics) Descriion of he MS-Regress R ackage (Rmerics) Auhor: Marcelo Perlin PhD Suden / ICMA Reading Universiy Email: marceloerlin@gmail.com / m.erlin@icmacenre.ac.uk The urose of his documen is o show he general

More information

OBJECTIVES OF TIME SERIES ANALYSIS

OBJECTIVES OF TIME SERIES ANALYSIS OBJECTIVES OF TIME SERIES ANALYSIS Undersanding he dynamic or imedependen srucure of he observaions of a single series (univariae analysis) Forecasing of fuure observaions Asceraining he leading, lagging

More information

Estimation Uncertainty

Estimation Uncertainty Esimaion Uncerainy The sample mean is an esimae of β = E(y +h ) The esimaion error is = + = T h y T b ( ) = = + = + = = = T T h T h e T y T y T b β β β Esimaion Variance Under classical condiions, where

More information

Lecture 15. Dummy variables, continued

Lecture 15. Dummy variables, continued Lecure 15. Dummy variables, coninued Seasonal effecs in ime series Consider relaion beween elecriciy consumpion Y and elecriciy price X. The daa are quarerly ime series. Firs model ln α 1 + α2 Y = ln X

More information

Modeling Economic Time Series with Stochastic Linear Difference Equations

Modeling Economic Time Series with Stochastic Linear Difference Equations A. Thiemer, SLDG.mcd, 6..6 FH-Kiel Universiy of Applied Sciences Prof. Dr. Andreas Thiemer e-mail: andreas.hiemer@fh-kiel.de Modeling Economic Time Series wih Sochasic Linear Difference Equaions Summary:

More information

Exercise: Building an Error Correction Model of Private Consumption. Part II Testing for Cointegration 1

Exercise: Building an Error Correction Model of Private Consumption. Part II Testing for Cointegration 1 Bo Sjo 200--24 Exercise: Building an Error Correcion Model of Privae Consumpion. Par II Tesing for Coinegraion Learning objecives: This lab inroduces esing for he order of inegraion and coinegraion. The

More information

Derived Short-Run and Long-Run Softwood Lumber Demand and Supply

Derived Short-Run and Long-Run Softwood Lumber Demand and Supply Derived Shor-Run and Long-Run Sofwood Lumber Demand and Supply Nianfu Song and Sun Joseph Chang School of Renewable Naural Resources Louisiana Sae Universiy Ouline Shor-run run and long-run implied by

More information

Financial Econometrics Jeffrey R. Russell Midterm Winter 2009 SOLUTIONS

Financial Econometrics Jeffrey R. Russell Midterm Winter 2009 SOLUTIONS Name SOLUTIONS Financial Economerics Jeffrey R. Russell Miderm Winer 009 SOLUTIONS You have 80 minues o complee he exam. Use can use a calculaor and noes. Try o fi all your work in he space provided. If

More information

An Overview of Methods for Testing Short- and Long-Run Equilibrium with Time Series Data: Cointegration and Error Correction Mechanism

An Overview of Methods for Testing Short- and Long-Run Equilibrium with Time Series Data: Cointegration and Error Correction Mechanism ISSN 2039-9340 (prin) Medierranean Journal of Social Sciences Published by MCSER-CEMAS-Sapienza Universiy of Rome An Overview of Mehods for Tesing Shor- and Long-Run Equilibrium wih Time Series Daa: Coinegraion

More information

Forecast of Adult Literacy in Sudan

Forecast of Adult Literacy in Sudan Journal for Sudies in Managemen and Planning Available a hp://inernaionaljournalofresearch.org/index.php/jsmap e-issn: 2395-463 Volume 1 Issue 2 March 215 Forecas of Adul Lieracy in Sudan Dr. Elfarazdag

More information

LONG YEARS APICULTURE DATA MODEL OF TURKEY: AN ECONOMETRIC TIME SERIES ANALYSIS ABSTRACT

LONG YEARS APICULTURE DATA MODEL OF TURKEY: AN ECONOMETRIC TIME SERIES ANALYSIS ABSTRACT Dogan Shor e Communicaion al., J. Anim. Plan Sci. 4(4):014 The Journal of Animal & Plan Sciences, 4(5): 014, Page: 1573-1578 ISSN: 1018-7081 LONG YEARS APICULTURE DATA MODEL OF TURKEY: AN ECONOMETRIC TIME

More information

A New Unit Root Test against Asymmetric ESTAR Nonlinearity with Smooth Breaks

A New Unit Root Test against Asymmetric ESTAR Nonlinearity with Smooth Breaks Iran. Econ. Rev. Vol., No., 08. pp. 5-6 A New Uni Roo es agains Asymmeric ESAR Nonlineariy wih Smooh Breaks Omid Ranjbar*, sangyao Chang, Zahra (Mila) Elmi 3, Chien-Chiang Lee 4 Received: December 7, 06

More information

Applied Econometrics and International Development Vol.9-1 (2009)

Applied Econometrics and International Development Vol.9-1 (2009) Applied Economerics and Inernaional Developmen Vol.9- (2009) THE BILATERAL RELATIONSHIP BETWEEN CONSUMPTION AND IN MEXICO AND THE US: A COMMENT GOMEZ-ZALDIVAR, Manuel * VENTOSA-SANTAULARIA, Daniel Absrac

More information

Økonomisk Kandidateksamen 2005(II) Econometrics 2. Solution

Økonomisk Kandidateksamen 2005(II) Econometrics 2. Solution Økonomisk Kandidaeksamen 2005(II) Economerics 2 Soluion his is he proposed soluion for he exam in Economerics 2. For compleeness he soluion gives formal answers o mos of he quesions alhough his is no always

More information

INVESTIGATING THE WEAK FORM EFFICIENCY OF AN EMERGING MARKET USING PARAMETRIC TESTS: EVIDENCE FROM KARACHI STOCK MARKET OF PAKISTAN

INVESTIGATING THE WEAK FORM EFFICIENCY OF AN EMERGING MARKET USING PARAMETRIC TESTS: EVIDENCE FROM KARACHI STOCK MARKET OF PAKISTAN Elecronic Journal of Applied Saisical Analysis EJASA, Elecron. J. App. Sa. Anal. Vol. 3, Issue 1 (21), 52 64 ISSN 27-5948, DOI 1.1285/i275948v3n1p52 28 Universià del Saleno SIBA hp://siba-ese.unile.i/index.php/ejasa/index

More information

Types of Exponential Smoothing Methods. Simple Exponential Smoothing. Simple Exponential Smoothing

Types of Exponential Smoothing Methods. Simple Exponential Smoothing. Simple Exponential Smoothing M Business Forecasing Mehods Exponenial moohing Mehods ecurer : Dr Iris Yeung Room No : P79 Tel No : 788 8 Types of Exponenial moohing Mehods imple Exponenial moohing Double Exponenial moohing Brown s

More information

SHIFTS IN PERSISTENCE IN TURKISH REAL EXCHANGE RATES HALUK ERLAT

SHIFTS IN PERSISTENCE IN TURKISH REAL EXCHANGE RATES HALUK ERLAT Vol., Sepember 2009 SHIFTS IN PERSISTENCE IN TURKISH REAL EXCHANGE RATES HALUK ERLAT Deparmen of Economics Middle Eas Technical Universiy 0653 Ankara, Turkey Fax: 90-32-207964 Email: herla@meu.edu.r Prepared

More information

FORECASTS GENERATING FOR ARCH-GARCH PROCESSES USING THE MATLAB PROCEDURES

FORECASTS GENERATING FOR ARCH-GARCH PROCESSES USING THE MATLAB PROCEDURES FORECASS GENERAING FOR ARCH-GARCH PROCESSES USING HE MALAB PROCEDURES Dušan Marček, Insiue of Comuer Science, Faculy of Philosohy and Science, he Silesian Universiy Oava he Faculy of Managemen Science

More information

A unit root test based on smooth transitions and nonlinear adjustment

A unit root test based on smooth transitions and nonlinear adjustment MPRA Munich Personal RePEc Archive A uni roo es based on smooh ransiions and nonlinear adjusmen Aycan Hepsag Isanbul Universiy 5 Ocober 2017 Online a hps://mpra.ub.uni-muenchen.de/81788/ MPRA Paper No.

More information

Identification of Trends and Cycles in Economic Time Series. by Bora Isik

Identification of Trends and Cycles in Economic Time Series. by Bora Isik Idenificaion of Trends and Cycles in Economic Time Series by Bora Isik An Honours essay submied o Carleon Universiy in fulfillmen of he requiremens for he course ECON 498, as credi oward he degree of Bachelor

More information

Chapter 15. Time Series: Descriptive Analyses, Models, and Forecasting

Chapter 15. Time Series: Descriptive Analyses, Models, and Forecasting Chaper 15 Time Series: Descripive Analyses, Models, and Forecasing Descripive Analysis: Index Numbers Index Number a number ha measures he change in a variable over ime relaive o he value of he variable

More information

Dynamic Models, Autocorrelation and Forecasting

Dynamic Models, Autocorrelation and Forecasting ECON 4551 Economerics II Memorial Universiy of Newfoundland Dynamic Models, Auocorrelaion and Forecasing Adaped from Vera Tabakova s noes 9.1 Inroducion 9.2 Lags in he Error Term: Auocorrelaion 9.3 Esimaing

More information

Solutions: Wednesday, November 14

Solutions: Wednesday, November 14 Amhers College Deparmen of Economics Economics 360 Fall 2012 Soluions: Wednesday, November 14 Judicial Daa: Cross secion daa of judicial and economic saisics for he fify saes in 2000. JudExp CrimesAll

More information

Oil price shocks and domestic inflation in Thailand

Oil price shocks and domestic inflation in Thailand MPRA Munich Personal RePEc Archive Oil rice shocks and domesic inflaion in Thailand Komain Jiranyakul Naional Insiue of Develomen Adminisraion March 205 Online a h://mra.ub.uni-muenchen.de/62797/ MPRA

More information

Use of Unobserved Components Model for Forecasting Non-stationary Time Series: A Case of Annual National Coconut Production in Sri Lanka

Use of Unobserved Components Model for Forecasting Non-stationary Time Series: A Case of Annual National Coconut Production in Sri Lanka Tropical Agriculural Research Vol. 5 (4): 53 531 (014) Use of Unobserved Componens Model for Forecasing Non-saionary Time Series: A Case of Annual Naional Coconu Producion in Sri Lanka N.K.K. Brinha, S.

More information

Robust critical values for unit root tests for series with conditional heteroscedasticity errors: An application of the simple NoVaS transformation

Robust critical values for unit root tests for series with conditional heteroscedasticity errors: An application of the simple NoVaS transformation WORKING PAPER 01: Robus criical values for uni roo ess for series wih condiional heeroscedasiciy errors: An applicaion of he simple NoVaS ransformaion Panagiois Manalos ECONOMETRICS AND STATISTICS ISSN

More information

Kriging Models Predicting Atrazine Concentrations in Surface Water Draining Agricultural Watersheds

Kriging Models Predicting Atrazine Concentrations in Surface Water Draining Agricultural Watersheds 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Kriging Models Predicing Arazine Concenraions in Surface Waer Draining Agriculural Waersheds Paul L. Mosquin, Jeremy Aldworh, Wenlin Chen Supplemenal Maerial Number

More information

Cointegration in Theory and Practice. A Tribute to Clive Granger. ASSA Meetings January 5, 2010

Cointegration in Theory and Practice. A Tribute to Clive Granger. ASSA Meetings January 5, 2010 Coinegraion in heory and Pracice A ribue o Clive Granger ASSA Meeings January 5, 00 James H. Sock Deparmen of Economics, Harvard Universiy and he NBER /4/009 /4/009 Coinegraion: he Hisorical Seing Granger

More information

Distribution of Estimates

Distribution of Estimates Disribuion of Esimaes From Economerics (40) Linear Regression Model Assume (y,x ) is iid and E(x e )0 Esimaion Consisency y α + βx + he esimaes approach he rue values as he sample size increases Esimaion

More information

Do Steel Consumption and Production Cause Economic Growth?: A Case Study of Six Southeast Asian Countries

Do Steel Consumption and Production Cause Economic Growth?: A Case Study of Six Southeast Asian Countries JOURNAL OF INTERNATIONAL AND AREA STUDIES Volume 5, Number, 008, pp.-5 Do Seel Consumpion and Producion Cause Economic Growh?: A Case Sudy of Six Souheas Asian Counries Hee-Ryang Ra This sudy aims o deermine

More information

Position predictive measurement method for time grating CNC rotary table

Position predictive measurement method for time grating CNC rotary table Posiion redicive measuremen mehod for ime graing CC roary able Liu Xiaokang a, Peng Donglin a, Yang Wei a and Fei Yeai b a Engineering Research Cener of Mechanical Tesing Technology and Equimen, Minisry

More information

Diebold, Chapter 7. Francis X. Diebold, Elements of Forecasting, 4th Edition (Mason, Ohio: Cengage Learning, 2006). Chapter 7. Characterizing Cycles

Diebold, Chapter 7. Francis X. Diebold, Elements of Forecasting, 4th Edition (Mason, Ohio: Cengage Learning, 2006). Chapter 7. Characterizing Cycles Diebold, Chaper 7 Francis X. Diebold, Elemens of Forecasing, 4h Ediion (Mason, Ohio: Cengage Learning, 006). Chaper 7. Characerizing Cycles Afer compleing his reading you should be able o: Define covariance

More information

Forecasting. Summary. Sample StatFolio: tsforecast.sgp. STATGRAPHICS Centurion Rev. 9/16/2013

Forecasting. Summary. Sample StatFolio: tsforecast.sgp. STATGRAPHICS Centurion Rev. 9/16/2013 STATGRAPHICS Cenurion Rev. 9/16/2013 Forecasing Summary... 1 Daa Inpu... 3 Analysis Opions... 5 Forecasing Models... 9 Analysis Summary... 21 Time Sequence Plo... 23 Forecas Table... 24 Forecas Plo...

More information

Imo Udo Moffat Department of Mathematics/Statistics, University of Uyo, Nigeria

Imo Udo Moffat Department of Mathematics/Statistics, University of Uyo, Nigeria Inernaional Journals of Advanced Research in Compuer Science and Sofware Engineering ISSN: 2277-128 (Volume-7, Issue-8) a Research Aricle Augus 2017 Applicaion of Inerruped Time Series Modelling o Prime

More information

Dynamic Econometric Models: Y t = + 0 X t + 1 X t X t k X t-k + e t. A. Autoregressive Model:

Dynamic Econometric Models: Y t = + 0 X t + 1 X t X t k X t-k + e t. A. Autoregressive Model: Dynamic Economeric Models: A. Auoregressive Model: Y = + 0 X 1 Y -1 + 2 Y -2 + k Y -k + e (Wih lagged dependen variable(s) on he RHS) B. Disribued-lag Model: Y = + 0 X + 1 X -1 + 2 X -2 + + k X -k + e

More information

UNIT ROOT TESTS, COINTEGRATION, ECM, VECM, AND CAUSALITY MODELS

UNIT ROOT TESTS, COINTEGRATION, ECM, VECM, AND CAUSALITY MODELS UNIT ROOT TESTS, COINTEGRATION, ECM, VECM, AND CAUSALITY MODELS Compiled by M&B EFA is desroying he brains of curren generaion s researchers in his counry. Please sop i as much as you can. Thank you. The

More information

PROJECTING ECONOMIC ACTIVITY AT THE STATE

PROJECTING ECONOMIC ACTIVITY AT THE STATE FORECASTING STATE LEVEL ECONOMIC ACTIVITY: AN ERROR CORRECTION MODEL WITH EXOGENOUS NATIONAL STRUCTURAL FORECAST COMPONENTS Michael Hicks, Ball Sae Universiy* INTRODUCTION PROJECTING ECONOMIC ACTIVITY

More information

Answers to Exercises in Chapter 7 - Correlation Functions

Answers to Exercises in Chapter 7 - Correlation Functions M J Robers - //8 Answers o Exercises in Chaper 7 - Correlaion Funcions 7- (from Papoulis and Pillai) The random variable C is uniform in he inerval (,T ) Find R, ()= u( C), ()= C (Use R (, )= R,, < or

More information

Empirical Estimation of Is-Lm Model for the US Economy by Applying Jmulti

Empirical Estimation of Is-Lm Model for the US Economy by Applying Jmulti Empirical Esimaion of Is-Lm Model for he US Economy by Applying Jmuli ISSN 1857-9973 338:303.725.3(73) Dushko Josheski 1, Darko Lazarov 2 1 FTBL, UGD, Krse Misirkov bb, Sip, Macedonia, e-mail: dushkojosheski@gmail.com

More information

Tourism forecasting using conditional volatility models

Tourism forecasting using conditional volatility models Tourism forecasing using condiional volailiy models ABSTRACT Condiional volailiy models are used in ourism demand sudies o model he effecs of shocks on demand volailiy, which arise from changes in poliical,

More information

Sectoral oil consumption and economic growth in Pakistan: An ECM approach

Sectoral oil consumption and economic growth in Pakistan: An ECM approach AMERICAN JOURNAL OF SCIENTIFIC AND INDUSTRIAL RESEARCH 20, Science Huβ, h://www.scihub.org/ajsir ISSN: 253-649X, doi:0.525/ajsir.20.2.2.49.56 Secoral oil consumion and economic growh in Pakisan: An ECM

More information

Vector autoregression VAR. Case 1

Vector autoregression VAR. Case 1 Vecor auoregression VAR So far we have focused mosl on models where deends onl on as. More generall we migh wan o consider oin models ha involve more han one variable. There are wo reasons: Firs, we migh

More information

Impact of International Information Technology Transfer on National Productivity. Online Supplement

Impact of International Information Technology Transfer on National Productivity. Online Supplement Impac of Inernaional Informaion Technology Transfer on Naional Prouciviy Online Supplemen Jungsoo Park Deparmen of Economics Sogang Universiy Seoul, Korea Email: jspark@sogang.ac.kr, Tel: 82-2-705-8697,

More information

A STRUCTURAL VECTOR ERROR CORRECTION MODEL WITH SHORT-RUN AND LONG-RUN RESTRICTIONS

A STRUCTURAL VECTOR ERROR CORRECTION MODEL WITH SHORT-RUN AND LONG-RUN RESTRICTIONS 199 THE KOREAN ECONOMIC REVIEW Volume 4, Number 1, Summer 008 A STRUCTURAL VECTOR ERROR CORRECTION MODEL WITH SHORT-RUN AND LONG-RUN RESTRICTIONS KYUNGHO JANG* We consider srucural vecor error correcion

More information

14 Autoregressive Moving Average Models

14 Autoregressive Moving Average Models 14 Auoregressive Moving Average Models In his chaper an imporan parameric family of saionary ime series is inroduced, he family of he auoregressive moving average, or ARMA, processes. For a large class

More information

SEASONAL ADJUSTMENT VERSUS SEASONALITY MODELING: Effect on Tourism Demand Forecasting

SEASONAL ADJUSTMENT VERSUS SEASONALITY MODELING: Effect on Tourism Demand Forecasting Seasonal Asian-African Adjusmen Journal Versus of Economics Seasonaliy and Modeling: Economerics, Effec Vol. on Tourism 13, No. 1, Demand 2013: 71-84 Forecasing 71 SEASONAL ADJUSTMENT VERSUS SEASONALITY

More information