D:\sbornik\...\MARKOV.DVI Mathematical Problems of Computer Science 32, 65{69, 2009. On Optimal I denti¯cation of M ar kov Chain Distr ibution Subject to the Reliability Cr iter ion Evgueni A. Haroutuniany and Leader Navaeiz yInstitute for Informatics and Automation Problem of NAS of RA ddag Payame Noor University, Iran evhar@ipia.sci.am, ashkan l1380@yahoo.com Abstract In this paper the identi¯cation of distribution of simple homogeneous stationary Markov chain with a ¯nite number of states is studied. The problem has been formu- lated by Ahlswede and Haroutunian on identi¯cation of hypotheses and solved for the case of the sequence of independent observations. Refer ences [1 ] R . F. A h ls we d e a n d E . A . H a r o u t u n ia n , \ On lo g a r it h m ic a lly a s ym p t o t ic a lly o p t im a l t e s t in g o f h yp o t h e s e s a n d id e n t i¯ c a t io n " , L ecture Notes in Computer Science, vo l. 4 1 2 3 . \General Theory of Information Transfer and Combinatorics" Springer, p p . 4 6 2 -4 7 8 , 2 0 0 6 . [2 ] E . A . H a r o u t u n ia n , \ R e lia b ilit y in m u lt ip le t e s t in g a n d id e n t i¯ c a t io n p r o b le m s " , NATO Science Series III: Computer and Systems Sciences, vo l. 1 9 8 , p p . 1 8 9 { 2 0 1 , IOS Or e s s , 2 0 0 5 . [3 ] E . A . H a r o u t u n ia n , \ On a s ym p t o t ic a lly o p t im a l t e s t in g o f h yp o t h e s e s c o n c e r n in g Ma r ko v c h a in " , (in R ussian). Izvestia Acad. Nauk Armenian SSR . Seria M athem. vo l. 2 2 , n o . 1 . p p . 7 6 -8 0 , 1 9 8 8 . [4 ] L N a va e i, \ A p p lic a t io n o f L D T t o m a n y h yp o t h e s e s o p t im a l t e s t in g fo r Ma r ko v c h a in " , M athematical P roblems of Computer Science, vo l. 3 1 , p p .7 3 -7 8 , 2 0 0 8 . [5 ] E . A . H a r o u t u n ia n , M. E . H a r o u t u n ia n a n d A . N . H a r u t yu n ya n ,\ R e lia b ilit y c r it e r ia in in fo r m a t io n t h e o r y a n d in s t a t is t ic a l h yp o t h e s is t e s t in g " , F oundations and Trends in Communications and Information Theory, vo l. 4 , n o . 2 -3 , 2 0 0 8 . 6 5 6 6 On Optimal Identi¯cation of Markov Chain Distribution Subject to the Reliability Criterion سñÏáíÇ ßÕóÛÇ µ³ßËÙ³Ý Ñáõë³ÉÇáõÃÛ³Ý å³ÛÙ³Ýáí ûåïÇÙ³É ÝáõÛݳϳݳóÙ³Ý Ù³ëÇÝ º. гñáõÃÛáõÝÛ³Ý, È. ܳí³ÛÇ ²Ù÷á÷áõÙ àôëáõÙݳëÇñí³Í ¿ í»ñç³íáñ Ãíáí íÇ׳ÏÝáñáí ѳٳë»é ëï³óÇáݳñ سñÏáíÛ³Ý ßÕóÛÇ íÇ׳ϳ·ñ³Ï³Ý ÝáõÛݳϳݳóáõÙÁ: ì³ñϳÍÝ»ñÇ ÝáõÛݳϳݳóÙ³Ý ÑÇÙݳ- ËݹÇñÁ Ó¨³Ï»ñåí»É ¿ ²Éëí»¹»Ç ¨ гñáõÃÛáõÝÛ³ÝÇ ÏáÕÙÇó ¨ ÉáõÍí»É ³ÝÏ³Ë ¹Çï³ñÏáõÙÝ»ñÇ ¹»åùÇ Ñ³Ù³ñ: