David George Kendall Bibliography

Transcription

1 David George Kendall Bibliography Kendall 1

2 David George Kendall Bibliography This bibliography is believed to be a complete list of David Kendall s major scientific publications, including all his refereed papers in scientific journals, as well as a few which are historical in nature. It does not include the many book reviews, obituaries, prefaces to books by others, edited works, contributions to discussions at the RSS and elsewhere, and the like, of which no full lists exist. (1) The effect of radiation damping and Doppler broadening on the atomic absorption coefficient, Z. f. Astrophysik 16 (1938) (2) A summation formula associated with finite trigonometric integrals, Quart. J. Math. 13 (1942) (3) (with M. S. Bartlett) The statistical analysis of variance-heterogeneity and the logarithmic transformation, Suppl. J. Roy. Statist. Soc. 8 (1946) (4) Planck s radiation formula, Nature 157 (1946) 737. (5) Fisher s problem of the Nile, Nature 158 (1946) 452. (6) (with R. A.Rankin) On the number of Abelian groups of a given order, Quart. J. Math. 18 (1947) (7) A review of some recent work on discontinuous Markoff processes with applications to biology, physics and actuarial science, J. Roy. Statist. Soc ) (8) On the number of lattice points inside a random oval, Quart. J. Math. 19 (1948) (9) On the generalized birth-and-death process, Ann. Math. Statist. 19 (1948) (10) On some modes of population growth leading to R. A. Fisher s logarithmic series distribution, Biometrika 35 (1948) (11) On the role of variable generation time in the development of a stochastic birth process, Biometrika 35 (1948) (12) A form of wave propagation associated with the equation of heat conduction, Proc. Camb. Philos. Soc. 44 (1948) (13) Stochastic processes and population growth, J. Roy. Statist. Soc. B 11 (1949) (14) An artificial realisation of a simple birth-and-death process, J. Roy. Statist. Soc. B 12 (1950) (15) Random fluctuations in the age-distribution of a population whose development is controlled by the simple birth-and-death process, J. Roy. Statist. Soc. B 12 (1950) (16) (with K. S. Rao) On the generalized second limit-theorem in the calculus of probabilities, Biometrika 37 (1950) (17) (with M. S. Bartlett) On the use of the characteristic functional in the analysis of some stochastic processes occurring in physics and biology, Proc. Camb. Philos. Soc. 47 (1951) (18) On non-dissipative Markoff chains with an enumerable infinity of states, Proc. Camb. Philos. Soc. 47 (1951) , (19) Some problems in the theory of queues, J. Roy. Statist. Soc. B 13 (1951) ; discussion (20) On the choice of a mathematical model to represent normal bacterial growth, J. Roy. Statist. Soc. B 14 (1952) (21) Les processus stochastiques de croissance en biologie, Ann. Inst. H. Poincaré 13 (1952) (22) Stochastic processes and the growth of bacterial colonies, Symp. Soc. Exper. Biol. (Evolution) 7 (1953) (23) (with R. A. Rankin) On the number of points of a given lattice in a random hypersphere, Quart. J. Math. (2) 4 (1953) (24) Stochastic processes occurring in the theory of queues and their analysis by the method of the imbedded Markov chain, Ann. Math. Statist. 24 (1953) Kendall 2

3 (25) (with S. R. Broadbent) On the random walk of trichostrongylus retortaeformis, Biometrics 9 (1953) (26) Bernstein polynomials and semigroups of operators, Math. Scand. 2 (1954) (27) Some analytical properties of continuous stationary Markov transition functions, Trans. Amer. Math. Soc. 78 (1955) (28) (with G. E. H. Reuter) Some pathological Markov processes with a denumerable infinity of states and the associated semigroups of operators on l, Proceedings of the International Congress of Mathematicians, 1954, Amsterdam, III (1956) (29) Some further pathological examples in the theory of denumerable Markov processes, Quart. J. Math. (2) 7 (1956) (30) Deterministic and stochastic epidemics in closed populations, Proceedings of the Third Berkeley Symposium on Mathematical Statistics and Probability, , IV (1956) (31) (with G. E. H. Reuter) Some ergodic theorems for one-parameter semigroups of operators, Phil. Trans. Roy. Soc. A 249 (1956) (32) (with G. E. H. Reuter) The calculation of the ergodic projection for Markov chains and processes with a countable infinity of states, Acta Math. 97 (1957) (33) (with J. E. Moyal) On the continuity properties of vector-valued functions of bounded variation, Quart. J. Math. (2) 8 (1957) (34) A note on Doeblin s central limit theorem, Proc. Amer. Math. Soc. 8 (1957) (35) Some problems in the theory of dams, J. Roy. Statist. Soc. B 19 (1957) ; discussion (36) La propagation d une épidémie ou d un bruit dans une population limitée, Publ. Inst. Statist. Univ. Paris 6 (1957) (37) A totally unstable denumerable Markov process, Quart. J. Math. (2) 9 (1958) (38) Integral representations for Markov transition probabilities, Bull. Amer. Math. Soc. 64 (1958) (39) Sur quelques critères classiques de compacité dans certains espaces fonctionnels, et la théorie des semi-groupes de transformations, J. Math. Pures Appl. (9) 38 (1959) (40) Unitary dilations of Markov transition operators, and the corresponding integral representations for transition-probability matrices, Probability and Statistics: The Harald Cramér volume (Almqvist & Wiksell, Stockholm, 1959) (41) Unitary dilations of one-parameter semigroups of Markov transition operators, and the corresponding integral representations for Markov processes with a countable infinity of states, Proc. London Math. Soc. (3) 9 (1959) (42) (with D. Vere-Jones) A commutativity problem in the theory of Markov chains, Teor. Veroyatnost. I Primenen. 4 (1959) (43) Stochastic rectification of non-linear clocks, Nature 184 (1959) (44) Hyperstonian spaces associated with Markov chains, Proc. London Math. Soc. (3) 10 (1960) (45) On infinite doubly-stochastic matrices and Birkhoff s problem 111, J. London Math. Soc. 35 (1960) (46) Geometric ergodicity and theory of queues, Mathematical methods in the social sciences (Stanford University Press, 1960) (47) Birth-and-death processes, and the theory of carcinogenesis, Biometrika 47 (1960) (48) The distribution of energy perturbations for Halley s and some other comets, Proceedings of the Fourth Berkeley Symposium on Mathematical Statistics and Probability, III (1961) (49) Some problems in the theory of comets, Proceedings of the Fourth Berkeley Symposium on Mathematical statistics and Probability, III (1961) (50) (with J. L. Mott) The asymptotic distribution of the time-to-escape for comets strongly bound to the solar system, Pacific J. Math. 11 (1961) (51) Simplexes and vector lattices, J. London Math. Soc. 37 (1962) Kendall 3

4 (52) Hyperstonian spaces associated with Markov chains II, J. London Math. Soc. 38 (1963) (53) Extreme-point methods in stochastic analysis, Z. Wahrscheinlichkeitsth. und Verw. Gebiete 1 (1963) (54) Information theory and the limit-theorem for Markov chains and processes with a countable infinity of states, Ann. Inst. Statist. Math. 15 (1963) (55) A statistical approach to Flinders Petrie s sequence-dating, Bull. Inst. Internat. Statst. 40 (1963) (56) Some recent work and further problems in the theory of queues, Teor. Veroyatnost. I Primenen, 9 (1964) (57) Functional equations in information theory, Z. Wahscheinlichkeitsth. und Verw. Gebiete 2 (1964) (58) (with D. Blackwell) The Martin boundary of Pólya s urn scheme, and an application to stochastic population growth, J. Appl. Prob. 1 (1964) (59) (with D. J. Daley) Stochastic rumours, J. Inst. Math. Appl. 1 (1965) (60) On the behaviour of a standard Markov transition function near t = 0, Z. Wahrscheinlichkeitsth. und Verw. Gebiete 3 (1965) (61) (with T. Lewis) On the structural information contained in the output of GI/G/, Z. Wahrscheinlichkeitsth. und Verw. Gebiete 4 (1965) (62) Mathematical models for the spread of infection, Mathematics and computer science in biology and medicine (Medical Research Council, 1965). (63) Branching processes since 1873, J. London Math. Soc. 41 (1966) (64) On super-critical branching processes with a positive chance of extinction, Research papers in statistics (Festschrift J. Neyman, John Wiley, 1966) (65) Delphic semigroups, Bull. Amer. Math. Soc. 73 (1967) (66) On Markov groups, Proceedings of the Fifth Berkeley Symposium in Mathematical Statistics and Probability, , 2 (1967) (67) Some recent developments in the theory of denumerable Markov processes, Trans. Fourth Prague Conf on Information Theory, Statistical Decision Functions, Random Processes, 1965, (1967) (68) On finite and infinite sequences of exchangeable events, Studia Sci. Math. Hungar. 2 (1967) (69) Renewal sequences and their arithmetic, Lecture Notes in Mathematics, 31 (1967) (70) Delphic semigroups, infinitely divisible regenerative phenomena, and the arithmetic of p- functions, Z. Wahrscheinlichkeitsth. und Verw. Gebiete, 9 (1968) (71) Mathematics a way of looking at life, Math. Spectrum 1 (1968/9) (72) Incidence matrices, interval graphs and seriation in archaeology, Pacific. J. Math. 28 (1969) (73) Some problems and methods in statistical archaeology, World Archaeology 1 (1969) (74) (with J. Lamperti) A remark on topologies for characteristic functions, Proc. Camb. Philos. Soc. 68 (1970) (75) A mathematical approach to seriation, Phil. Trans. Roy. Soc. A 269 (1970) (76) (with L. I. Boneva and I. Stefanov) Spline transformations: three new diagnostic aids for the statistical data-analyst, J.Roy. Statist. Soc. B 33 (1971) (77) Abundance matrices and seriation in archaeology, Z. Wahscheinlichkeitsth. und Verw. Gebiete, 17 (1871) (78) (with A. Jensen) Denumerable Markov processes with bounded generators: a routine for calculating p ij ( ), J. Appl. Prob. 8 (1971) (79) Construction of maps from odd bits of information, Nature 231 (1971) (80) Seriation from abundance matrices, Mathematics in the archaeological and historical sciences (Mamaia, 1970) (Edinburgh University Press, 1971) Kendall 4

5 (81) Maps from marriages: an application of non-metric multidimensional scaling to parish register data, Mathematics in the archaeological and historical sciences (Mamaia, 1970) (Edinburgh University Press, 1971) (82) Harding, E. F. & Kendall, D. G. (eds.) Stochastic Analysis, Wiley, London, (82a) On the non-occurrence of a regenerative phenomenon in given intervals, in Harding, E. F. & Kendall, D. G. (eds.) Stochastic Analysis, Wiley, London, 1973, (83) An introduction to stochastic analysis, Stochastic Analysis (ibid.) (84) (with R. Davidson) On partly exponential p-functions, and identifying skeletons, Stochastic Analysis (ibid.) (85) Separability and measurability for stochastic processes: a survey, Stochastic Analysis (ibid.) (86) Harding, E. F. & Kendall, D. G. (eds.) Stochastic Geometry, Wiley, London, (86a) An introduction to stochastic geometry, in Harding, E. F. & Kendall, D. G. (eds.) Stochastic Geometry, Wiley, London, 1973, 3-9. (87) Foundations of a theory of random sets, Stochastic Geometry (ibid.) (88) Pole-seeking Brownian motion and bird navigation, J. Roy. Statist. Soc. B 36 (1974) (89) Hunting quanta, Phil. Trans. Roy. Soc. A 276 (1974) (90) Data-analytic problems in archaeology and history, Colloq. Math. Soc. János Bolyai 9 (1974) (91) Some problems in mathematical genealogy, Perspectives in probability and statistics (Applied Probability Trust, 1975) (92) The genealogy of genealogy: branching processes before (and after) 1873, Bull. London Math. Soc. 7 (1975) (93) Review lecture: the recovery of structure from fragmentary information, Phil. Trans. Roy. Soc. A 279 (1975) (94) Policy selection by structural mapping: Appendix. On the tertiary treatment of ties, Proc. Roy. Soc. A 354 (1977) (95) The diffusion of shape, Adv. Appl. Prob. 9 (1977) (96) (with W. S. Kendall) Alignments in two-dimensional random sets of points, Adv. Appl. Prob. 12 (1980) (97) The scale of perfection, J. Appl. Prob. 19A (1982) (98) The shape of Poisson-Delaunay triangles, Studies in probability and related topics (Nagard, Rome, 1983) (99) Shape manifolds, Procrustean metrics, and complex projective spaces, Bull. London Math. Soc. 16 (1984) (100) Indirectional statistics and the significance of an asymmetry discovered by Birch, Mon. Not. Roy. Astro. Soc. 207 (1984) (101) Exact distributions for shapes of random triangles in convex sets, Adv. Appl. Prob. 17 (1985) (102) Mathematical statistics in the humanities, and some related problems in astronomy, A celebration of statistics (Springer, 1985) (103) Further developments and applications of the statistical theory of shape, Teor. Veroyatnost I Primenen 31 (1986) (104) (with Le H.) Exact shape-densities for random triangles in convex polygons, Adv. Appl. Prob. (1986) (105) (with Le H.) The structure and explicit determination of convex-polygonally generated shape-densities, Adv. Appl. Prob. 19 (1987) (106) Applied probability past, present and future, J. Appl. Prob. 25A (1988) (107) A survey of the statistical theory of shape, Jahresbericht DMV 91 (1989) [Reprinted with discussion in Statist. Sci. 4 (1989) , and in Bulgarian translation in Fiz.-Mat. Spis. Bulgar. Akad. Nauk 32 (1990) ] (108) Random Delaunay simplexes in R m, J. Statist Plann. Inference, 25 (1990) Kendall 5

6 (109) The Mardia-Dryden shape distribution for triangles: a stochastic calculus approach, J. Appl. Prob. 28 (1991) (110) Spherical triangles revisited, The art of statistical science (Wiley, 1992) (111) (with Le H.) The Riemannian structure of Euclidean shape spaces: a novel environment for statistics, Ann. Statist. 21 (1993) (112) How to look at objects in a five-dimensional shape space I. Looking at distributions, Th. Prob. Appl. 39 (1994) (113) How to look at objects in a five-dimensional shape space II. Looking at diffusions, Probability, statistics and optimisation (Wiley, 1994) (114) How to look at objects in a five dimensional shape space: looking at geodesics, Adv. Appl. Prob. 27 (1995) (115) (with K. Post) The British 3-inch anti-aircraft rocket, Notes and Records of the Royal Society, 50 (1996) and 51 (1997) (116) (with D. Barden, T. K. Carne & H. Le) Shape and Shape Theory, Wiley, Kendall 6