НАН РА. Математические вопросы кибернетики и вычислительной техники=Mathematical problems of computer science

On multiple hypotheses testing by informed statistician for arbitrarily varying object and application to source coding

Haroutunian, Evgueni A. and Hakobyan, Parandzem M. (2004) On multiple hypotheses testing by informed statistician for arbitrarily varying object and application to source coding. Математические вопросы кибернетики и вычислительной техники, № 23. pp. 36-46. ISSN 0131-4645

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    Abstract

    The matrix of asymptotic interdependencies (reliability{reliability functions) of all possible pairs of the error probability exponents (reliabilities) in testing of multiple statistical hypotheses is studied for arbitrarily varying object with the current states sequence known to the statistician. The case of two hypotheses when state sequences are not known to the decision maker was studied by Fu and Shen, and when decision is founded on the known states sequence was considered by Ahlswede, Haroutunian and Aloyan. In the same way as Fu and Shen we obtain from the main result rate-reliability and reliability-rate functions for arbitrarily varying source coding with side information. An illustrative example is presented.

    Item Type: Article
    Additional Information: Տեղեկացված վիճակագրի կոմից կամայականորեն փոփոխվող օբյեկտի նկատմամբ բազմակի վարկածների ստուգման և աղբյուրի կոդավորման համար կիրառության մասին։
    Uncontrolled Keywords: Հարությունյան Ե. Ա., Հակոբյան Փ. Մ.
    Subjects: Q Science > QA Mathematics > Electronic computers. Computer science
    Divisions: UNSPECIFIED
    Depositing User: FSL Bibl. Dept.
    Date Deposited: 22 May 2014 14:38
    Last Modified: 14 Apr 2015 13:36
    URI: http://compsci.asj-oa.am/id/eprint/481

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