References. Abe, S. (1997), 'A note on the q-deformation theoretic aspect of the genealized entropies

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1 References Abe, S. (1997), 'A note on the q-deformation theoretic aspect of the genealized entropies in non-extensive physics', Physics Letters A 224(6), Abe, S. (2002), 'Stability of Tsallis entropy and instabilities of Renyi and normalized Tsallis entropies: A basis for q-exponential distributions', Physical Review E Statistical, Nonlinear and Softmatter Physics 66(046134). Abe, S. and Bagci, G. B. (2005), 'Necessity of q-expectation value in nonextensive statistical mechanics', Physical Review E 71(1), Abe, S. and Rajgopal, A. K. (2000), 'Micro canonical foundation for systems with power-law distributions', Journal of Physics A,' Mathematical and General 33(48), Abe, S. and Suzuki, N. (2003), 'Itineration of the internet over non equilibrium stationary states in Tsallis statistics', Physical Review E 67(1), Abramowitz, M. and Stgun, 1. A. (1970), Handbook of Mathematical Functions, Dover Publication Inc., Newyork. Aksenov, S. V. and Savageau, M. A. (2003), 'Application of the combined nonlinearcondensation transformation to problems in statistical analysis and theoretical physics', Computer Physics Communications 150,

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5 REFERENCES 106 Karmeshu and Sharma, S. (2006a), Chaos, Nonlinearity, Complexity, Vol. 206, Springer, Berlin/Heidelberg, chapter Modelling and analysis of LRD in packet networks: Tsallis entropy framework, pp Karmeshu and Sharma, S. (2006b), 'q-exponential product-form solution of packet distribution in queueing network: Maximization of tsallis entropy', IEEE Communication Letters 10(8), 585~587. Karmeshu and Sharma, S. (2006c), 'Long tail behavior of queue lengths in broadband networks: Tsallis entropy framework', submitted to Computer Networks. Karmeshu and Sharma, S. (2006d), 'Queue length distribution of network packet traffic: Tsallis entropy maximization with fractional moments', IEEE Communication Letters 10(1), Kim, H. and Shroff, N. (2001), 'Loss probability calculations and asymptotic analysis for finite buffer multiplexer', IEEE/ACM Transactions on Networking 9(6), Kleinrock, L. (1975), Queueing Theory, Wiley, Newyork. Klir, G. J. and Wierman, M. J. (1999), Uncertainty-based Information, Elements of Generalized Information Theory, second edn, Physica-Verlag. Kouvatsos, D. D. (1985), 'Maximum entropy methods for general queueing networks', Modelling Techniques and Tools for Performance Analysis, D. Potier ed., North- Holland pp Krunz, M. and Makowski, A. (1998), 'A source model for VBR video traffic based on M/G/oo input process', Proceedings of IEEE Infocom 98.

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8 R.EFERENCES 109 Sahinoglu, Z. and Tekinay, S. (1999), 'On multimedia networks: Self-similar traffic and network performance', IEEE Communications Magazine 37(1), Shannon, C. E. (1948), 'A mathematical theory of communication', Bell system Technical Journal 27, Sharma, S., Krishanmachari, A. and Karmeshu (2006), 'Validity of Jaynes' entropy concentration theorem: Tsallis and other generalized entropy measures', preprint Stallings, W. (2002), High Speed Networks and Internets: Performance and Quality of Service, second edn, Pearson. Suyari, H. (2004), 'Generalization of Shannon-Khinchin axioms to nonextensive systems and the uniqueness theorem for the nonextensive entropy', IEEE Transactions on Information Theory 50(8), Suyari, H. (2005a), 'Law of error in Tsallis statistics', IEEE Transaction on Information Theory 51(2), Suyari, H. (2005b), 'The unique non self-referential q-canonical distribution and the physical temperature derived from the maximum entropy principle in Tsallis statistics', ArXiv Condensed Matter e-print. Tsallis, C. (1988), 'Possible generalization of Boltzmann-Gibbs statistic', Journal of Statistical Physics 52(1-2), Tsallis, C. (2001), Nonextensive Statistical Mechanics and its Appliations, Springer Verlag. Tsallis, C. (2004), Non-extensive statistical mechanics: construction and physical interpretation, Oxford University Press, pp. 152.

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