On Identification of Distributions of Two Independent Objects

Authors

  • Evgueni A. Haroutunian Institute for Informatics and Automation Problems of NAS RA
  • Parandzem M. Hakobyan Institute for Informatics and Automation Problems of NAS RA

Abstract

Ahlswede and Haroutunian formulated new problems onmultiple hypotheses testing and on identification of hypotheses. The problems of identification of distribution and of distributions ranking for one object were solved completely. In this paper we study the problem of identification of distributions for two independent objects.

References

E.A. Haroutunian, “Reliability in multiple hypotheses testing and identification problems". Proceedings of the NATO ASI, Yerevan, 2003. NATO Science Series III: Computer and Systems Sciences - vol. 198, pp. 189-201. IOS Press, 2005.

R.F. Ahlswede and 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.

R.E. Bechhofer, J. Kiefer, and M. Sobel, Sequential identification and ranking procedures. The University of Chicago Press, Chicago, 1968.

R.F. Ahlswede and I. Wegener, Search problems. Wiley, New York, 1987.

E.A. Haroutunian and P.M. Hakobyan, “On LAO testing of multiple hypothesis for pair of objects", Mathematical Problems of Computer Science vol. 26, pp. 92-100, 2005.

E.A. Haroutunian and P.M. Hakobyan, “On multiple hypotheses LAO testing for many independent objects". (Acceptted to IEEE International Symposium on Information Theory, France, Nice, 2007).

E.A. Haroutunian, “Logarithmically asymptotically optimal testing of multiple statistical hypotheses", Problems of Control and Information Theory, vol. 19 (5-6), pp. 413-421, 1990.

I.Csiszár and J. Körner, Information theory: coding theorems for discrete memory less systems, Academic Press, New York, 1981.

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Published

2021-12-10

How to Cite

Haroutunian, E. A. ., & Hakobyan, . P. M. . (2021). On Identification of Distributions of Two Independent Objects. Mathematical Problems of Computer Science, 28, 114–119. Retrieved from http://mpcs.sci.am/index.php/mpcs/article/view/507

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