D:\sbornik\...\IDENM2.DVI Mathematical Problems of Computer Science 33, 91{94, 2010 Remar ks about Reliable I denti¯cation of P r obability Distr ibutions of T wo I ndependent Objects E vg u e n i A . H a r o u t u n ia n a n d P a r a n d z e m M. H a ko b ya n Institue for Informatics and Automation Problems of NAS of RA e-mail: evhar@ipia.sci.am Abstract In this paper we present some additions to results on logarithmically asymptotically optimal identi¯cation of probability distributions of two independent objects, published by authors in 2007. 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 ī 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 ,\ Ge n e r a l Th e o r y o f In fo r m a t io n Tr a n s fe r a n d Co m b in a t o r ic s " S p r in g e r , 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 P . M. H a ko b ya n , \ 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 , \ On r e lia b le id e n t ī c a t io n o f t wo in d e p e n d e n t Ma r ko v c h a in " , M athematical P roblems of Computer Sciences , vo l. 3 2 , p p . 7 5 -7 9 , 2 0 0 9 . [4 ] E . A . H a r o u t u n ia n , \ L o 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 m u lt ip le s t a - t is t ic a l h yp o t h e s e s " , P roblems of Control and Information Theory, vo l. 1 9 ( 5 -6 ) , p p . 4 1 3 { 4 2 1 , 1 9 9 0 . ¸ÇïáÕáõÃÛáõÝÝ»ñ »ñÏáõ ³ÝÏ³Ë ûµÛ»ÏïÝ»ñÇ Ñ³í³Ý³Ï³Ý³ÛÇÝ µ³ßËáõÙÝ»ñÇ Ñáõë³ÉÇ ÝáõÛݳϳݳóÙ³Ý í»ñ³µ»ñÛ³É º. гñáõÃÛáõÝÛ³Ý ¨ ö. гÏáµÛ³Ý ²Ù÷á÷áõÙ Ðá¹í³ÍáõÙ áõëáõÙݳëÇñíáõÙ ¿ »ñÏáõ ³ÝÏ³Ë ûµÛ»ÏïÝ»ñÇ µ³ßËáõÙÝ»ñÇ Éá·³ñÃÙáñ»Ý ³ëÇÙåïáïáñ»Ý ûåïÇÙ³É ÝáõÛݳϳݳóáõÙÁ: ÞïÏí»É »Ý ݳËáñ¹ 2007Ã. Ñá¹í³ÍáõÙ Ýϳïí³Í ûñáõÃÛáõÝÝ»ñÁ: 9 1