任意变化源的多重假设检验中的误差指数

2010 IEEE Information Theory Workshop Pub Date : 2010-09-30 DOI:10.1109/CIG.2010.5592740

Naira Grigoryan, A. Harutyunyan

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引用次数: 6

摘要

研究了任意变源(AVS)下的多重假设检验问题。导出了可实现的误差概率指数(可靠性)区域，描述了最优决策方案。这一结果扩展了傅、沈和Tuncel的已知结果。通过对这些源的Sanov定理的表示，给出了AVS二进制和M-ary HT的Chernoff界。

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Error exponents in multiple hypothesis testing for arbitrarily varying sources

The problem of multiple hypothesis testing (HT) for arbitrarily varying sources (AVS) is considered. The achievable error probability exponents (reliabilities) region is derived, optimal decision schemes are described. The result extends the known ones by Fu and Shen and by Tuncel. The Chernoff bounds for AVS binary and M-ary HT are specified via indication of a Sanov theorem for those sources.

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2010 IEEE Information Theory Workshop

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