On Close Interaction of Information Theory and Mathematical Statistics

Authors

  • E. A. Haroutunian Institute for Informatics and Automation Problems of NAS RA

Abstract

Dedicated to the 70-th anniversary of Academician Yuri Haik Shoukourian

References

E. A. Haroutunian, “Upper estimate of transmission rate for memoryless channel with countable number of output signals under given error probability exponent,” (in Russian), 3rd All Union Conf. on Theory of Information Transmission and Coding, Uzhgorod, Publishing Hous of the Uzbek Ac.Sc., Tashkent, pp. 83--86, 1967.

E. A. Haroutunian, “Estimates of the error probability exponent for a semi-continuous memoryless channel,” (in Russian), Probl. Inform. Transm., vol. 4, no. 4, pp. 37—48, 1968.

E. A. Haroutunian, “On asymptotically optimal criteria for Markov chains,” (in Russian), First World Congress of Bernoulli Society, section 2, vol. 2, no. 3, pp. 153-156, 1990.

M. E. Haroutunian, “E-capacity of arbitrarily varying channel with informed encoder,” Probl. Inform. Transm., (in Russian), vol. 26, no. 4, pp. 16-23, 1990.

E. A. Haroutunian, “Logarithmically asymptotically optimal testing of multiple statistical hypotheses,” Probl. Contr. and Inform. Theory, vol. 19, no. 5--6, pp. 413-421, 1990. 21

E. A. Haroutunian, R. Sh. Maroutian, “(E,Δ)-achievable rates for multiple descriptions of random varying source,” Probl. Contr. and Inform. Theory, vol. 20, no. 2, pp. 165--178, 1991.

M. E. Haroutunian, “Bounds of E-capacity for the channel with random parameter,” Probl. Inform. Transm., (in Russian), vol. 27, no. 1, pp. 14--23, 1991.

E. A. Haroutunian, M. E. Haroutunian, “Channel with random parameter," Proc. of 12-th Prague Conf. on Inform. Theory, Statis. Decision Func. Random Proc., p. 20, 1994.

A. N. Harutyunyan, E. A. Haroutunian, “On properties of rate-reliability-distortion function,” IEEE Trans. Inform. Theory, vol. 50, no. 11, pp. 2768—2769, 1996.

E. A. Haroutunian, M. E. Haroutunian, “Bounds of E-capacity region for restricted two-way channel,” (in Russian), Probl. Inform. Transm., vol. 34, no. 3, pp. 7--16, 1998.

E. A. Haroutunian, A. N. Haroutunian, A. R. Kazarian, (Ghazaryan) “On rate-reliabilities-distortions function of source with many receivers,” Proc. Joint Session 6-th Prague Symp. Asymptotic Statist. and 13-th Prague Conf. Inform. Theory, Statist. Decision Func. Random Proc., Prague, vol. 1, pp. 217-220, 1998.

E. A. Haroutunian, A. N. Harutyunyan, “Successive refinement of information with reliability criterion," in Proc. IEEE Intern. Symp. Inform. Theory, Sorrento, Italy, p. 205, 2000.

E. A. Haroutunian, A. N. Harutyunyan, A. R. Ghazaryan, “On rate-reliability-distortion function for robust descriptions system,” IEEE Trans. Inform. Theory, vol. 46, no. 7, pp. 2690--2697, 2000.

E. Haroutunian, A. Ghazaryan, “On the Shannon cipher system with wiretapper guessing subject to distortion and reliability requirements”, IEEE International Symposium on Information Theory, Losanna, Switzerland, p.324, 2002.

H. Shahumyan, E. Haroutunian, “On the most informative indices selection method”, Proceedings of the Intern. Congress of Mathematicians, Beijing, p. 189, 2002.

N. Ajabyan, F. Topsoe, E. Haroutunian, “On application of entropy analysis to spatiotemporal evolution of ecological models”, Proceedings of the International Conference on CSIT, Yerevan. pp. 190-195, 2003.

H. Shahumyan, E. Haroutunian, “Armenian web site on applied statistics”, Proceedings of the International Conference CSIT, Yerevan, pp. 449-451, 2003.

I. Safaryan, E. Haroutunian, “Common approach to the distributions mixture identification and dependence models analysis”, Proceedings of International Conference CSIT, Yerevan, pp. 184-186, 2003.

M. E. Haroutunian, “On multiple-access channel with random parameter,” Proceedings of International Conference CSIT, Yerevan, Armenia, pp. 174--178, 2003.

A. N. Harutyunyan, E. A. Haroutunian, “On properties of rate-reliability-distortion function”, IEEE Trans. on Inform. Theory, vol. 11, pp. 2768–2773, 2004.

E. A. Haroutunian, P. S. Avetisyan, I. A. Safaryan, A. V. Manasyan, “Analysis of the multidimensional distributions non-homogeneity in social-economic models of teaching”, Proceedings of VI (Jubilee) International School-Seminar “Multivariate Statistical Analysis and Econometrics”, pp. 53- 54, Tsahkadzor, June 2004.

M. E. Haroutunian, S. A. Tonoyan, “Random coding bound of information hiding E-capacity,” Trans. of IEEE Intern. Symp. Infrom. Theory, Chicago, USA, p. 536, 2004.

R. Ahlswede, E. Haroutunian, “Testing of hypothesis and identification”, Electronic Notes in Discrete Mathematics, 21, pp. 185 -- 189, 2005.

R. Ahlswede, E. Aloyan, E. Haroutunian, “On logarithmically asymptotically optimal hypothesis testing for arbitrarily varying source with side information”, Electronic Notes in Discrete Mathematics 21, pp. 91-95, 2005.

E. Haroutunian, “Reliability in multiple hypotheses testing and identification problem”, NATO Science Series: Computer and System Sciences, Vol. 198, IOS Press, pp. 189 – 201, 2005.

E. Haroutunian, H. Shahumyan, A. Manasyan, “Armenian statistical Web Lab”, Proceedings International Conference CSIT, pp. 591-594, Yerevan, Armenia, 2005.

R. F. Ahlswede, E. Aloyan, E. A. Haroutunian, “On logarithmically asymptotically optimal hypothesis testing for arbitrarily varying source with side information,” Lecture Notes in Computer 22 Science, vol. 4123, “General Theory of Information Transfer and Combinatorics”, Springer, pp. 457-461, 2006.

R. F. Ahlswede, E. A. Haroutunian, “On logarithmically asymptotically optimal testing of hypotheses and identification”, Lecture Notes in Computer Science, vol. 4123, “General Theory of Information Transfer and Combinatorics”, Springer, pp. 462-478, 2006.

M. Haroutunian, “Bounds of E-capacity for multiple-access channel with random parameter”, Lecture Notes in Computer Science, vol. 4123, ``General Theory of Information Transfer and Combinatorics", Springer, pp. 166--183, 2006.

A. N. Harutyunyan , “Notes on conditions for successive refinement of information", Lecture Notes in Computer Science, vol. 4123, “General Theory of Information Transfer and Combinatorics”, Springer, pp. 130--138, 2006.

A. N. Harutyunyan, A.J. Han Vinck, “Error exponent in AVS coding”, Proc. of IEEE Int. Symp. Inform. Theory, Seattle, WA, July 9--14, pp. 2166--2170, 2006.

E. Haroutunian, “On bounds for E- capacity of DMC”, IEEE Trans. on Inform. Theory, v. 53. no. 11, pp. 4210—4220, 2007.

E. Haroutunian, “Reliability approach in wiretapper guessing theory”, “Aspects of network and information security”, NATO Science for Peace and Security Series, Information and Communication Security, vol. 17, pp. 248-260, IOS Press, 2008.

M. E. Haroutunian, “E-capacity of Information Hiding Systems”, “Aspects of network and information security”, NATO Science for Peace and Security Series, Information and Communication Security, vol. 17, pp. 261-273, IOS Press, 2008.

A. N. Harutunyan, “Remarks on E -optimal rate function in DMS coding”, “Aspects of network and information security”, NATO Science for Peace and Security Series, Information and Communication Security, vol. 17, pp. 308-314, IOS Press, 2008.

E. Haroutunian, M. Haroutunian, A. Harutyunyan, “Reliability Criteria in Information Theory and in Statistical Hypothesis Testing”, Foundations and Trends in Communications and Information Theory, vol. 4, no. 2-3, pp. 1-171, 2008.

E. Haroutunian, N. Grigoryan, “On arbitrarily varying Markov source coding and hypothesis LAO testing by non-informed statistician”, Proceedings of IEEE Int. Symp. Inform. Theory, Seoul, South Korea, June 28--July 3, pp. 981-985, 2009.

E. Haroutunian, P. Hakobyan, “Multiple hypotheses LAO testing for many independent object”, International journal “Scholarly Research Exchange”, vol. 2009, pp. 1--6, 2009.

E. Haroutunian, P. Hakobyan, "On hypotheses optimal testing for many independent objects", Proceedings of International Conference CSIT, pp. 141-144, Yerevan, 2009.

M. Grigoryan, A. N. Harutyunyan, “Multiple hypothesis testing for arbitrarily varying sources", Proceedings of International Workshop on Applications of Information Theory, Coding and Security, Yerevan, Armenia, pp. 67-70, 2010.

A. N. Harutyunyan, N. M. Grigoryan, “Chernoff bounds of hypothesis testing for arbitrarily varying sources", Proceedings of International Workshop on Applications of Information Theory, Coding and Security, Yerevan, Armenia, pp. 71-74, 2010.

N. M. Grigoryan, A. N. Harutyunyan, “Error exponents in multiple hypothesis testing for arbitrarily varying sources”, IEEE International Workshop on Information Theory, Dublin, Ireland, pp. 1-5, 2010.

E. A. Haroutunian, “Information Theory and Statistics”, International Encyclopedia of Statistical Science, Springer-Verlag, pp. 643-645, 2010.

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Published

2021-12-10

How to Cite

Haroutunian, E. A. . (2021). On Close Interaction of Information Theory and Mathematical Statistics. Mathematical Problems of Computer Science, 34, 20–22. Retrieved from http://mpcs.sci.am/index.php/mpcs/article/view/309