Identification.DVI Mathematical Problems of Computer Science 32, 74{77, 2009. On Reliable I denti¯cation of T wo I ndependent M ar kov Chain Distr ibutions L e a d e r N a va e i Payame Noor University, Iran ashkan l1380@yahoo.com Abstract In this paper the problem of logarithmically asymptotically optimal (LAO) iden- ti¯cation of distributions for two independent simple homogeneous stationary Markov chains with ¯nite number of states is studied. The problem of identi¯cation under reli- ability requirement of distributions for one Markov chain was studied by Haroutunian and Navaei. 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 e c t u r e N o t e s in Co m p u t e r S c ie n c e , 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 a n d H a ko b ya n P . M. , On Id e n t i¯ c a t io n o f D is t r ib u t io n s o f Two In d e p e n d e n t Ob je c t s " , M athematical P roblems of Computer Science, vo l. 2 8 , p p . 1 1 4 { 1 1 9 , 2 0 0 7 . [3 ] 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 . [4 ] L . N a va e i, \ L a r g e d e via t io n s t e c h n iqu e s fo r e r r o r e xp o n e n t s t o m a n y h yp o t h e s e s L A O t e s t in g " , J ournal of modern applied statistical methods, USA, vo l. 6 , N o . 3 . p p . 4 8 7 -4 9 1 , 2 0 0 7 . [5 ] E . A H a r o u t u n ia n a n d N . M. Gr ig o r ya n , \ On r e lia b ilit y a p p r o a c h fo r t e s t in g d is t r ib u - t io n s fo r p a ir o f Ma r ko v c h a in s " , M athematical P roblems of Computer Sciences, vo l. 2 9 , p p . 8 6 -9 6 , 2 0 0 7 . [6 ] E . A H a r o u t u n ia n a n d L .N a va e i, On o p t im a l id e n t ī c a t io n o f Ma r ko v c h a in d is t r ib u t io n s u b je c t t o t h e r e lia b ilit y c r it e r io n " , M athematical P roblems of Computer Sciences, vo l. 3 2 , p p . 6 5 { 6 9 , 2 0 0 9 . 7 4 L. Navaei 7 5 ºñÏáõ سñÏáíÛ³Ý ßÕóݻñÇ µ³ßËáõÙÝ»ñÇ Ñáõë³ÉÇ ÝáõÛݳϳݳóÙ³Ý Ù³ëÇÝ È. ܳí³ÛÇ ²Ù÷á÷áõÙ Ðá¹í³ÍáõÙ ëï³óí³Í ¿ »ñÏáõ سñÏáíÛ³Ý ßÕóÛáí µÝáõó·ñíáÕ ûµÛ»ÏïÝ»ñÇ µ³ßËáõÙÝ»ñÇ ³ëÇÙåïáïáñ»Ý ûåïÇÙ³É ÝáõÛݳϳݳóÙ³Ý ËݹñÇ ÉáõÍáõÙÁ: Ø»Ï ûµÛ»ÏïÇ ¹»åùáõÙ ËݹÇñÁ ÉáõÍí³Í ¿ [6] Ñá¹í³ÍáõÙ: