Geodesic
On Special Case of Multiple Hypotheses Optimal Testing for Three Differently Distributed Random Variables
Serdica Mathematical Journal, Tome 37 (2011) no. 1, pp. 79-86

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In this paper by using theory of large deviation techniques (LDT), the problem of hypotheses testing for three random variables having different distributions from three possible distributions is solved. Hypotheses identification for two objects having different distributions from two given probability distributions was examined by Ahlswewde and Haroutunian. We noticed Sanov's theorem and its applications in hypotheses testing.
Keywords: Optimal Testing, Error Probability, Three Differently Distributed type 
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Navaei, Leader. On Special Case of Multiple Hypotheses Optimal Testing for Three Differently Distributed Random Variables. Serdica Mathematical Journal, Tome 37 (2011) no. 1, pp. 79-86. http://geodesic.mathdoc.fr/item/SMJ2_2011_37_1_a5/