# On Special Case of Multiple Hypotheses Optimal Testing for Three Differently Distributed Random Variables

Serdica Mathematical Journal (2011)

- Volume: 37, Issue: 1, page 79-86
- ISSN: 1310-6600

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topNavaei, Leader. "On Special Case of Multiple Hypotheses Optimal Testing for Three Differently Distributed Random Variables." Serdica Mathematical Journal 37.1 (2011): 79-86. <http://eudml.org/doc/281579>.

@article{Navaei2011,

abstract = {2000 Mathematics Subject Classification: 62P30.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.},

author = {Navaei, Leader},

journal = {Serdica Mathematical Journal},

keywords = {Optimal Testing; Error Probability; Three Differently Distributed type; optimal testing; error probability},

language = {eng},

number = {1},

pages = {79-86},

publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},

title = {On Special Case of Multiple Hypotheses Optimal Testing for Three Differently Distributed Random Variables},

url = {http://eudml.org/doc/281579},

volume = {37},

year = {2011},

}

TY - JOUR

AU - Navaei, Leader

TI - On Special Case of Multiple Hypotheses Optimal Testing for Three Differently Distributed Random Variables

JO - Serdica Mathematical Journal

PY - 2011

PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences

VL - 37

IS - 1

SP - 79

EP - 86

AB - 2000 Mathematics Subject Classification: 62P30.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.

LA - eng

KW - Optimal Testing; Error Probability; Three Differently Distributed type; optimal testing; error probability

UR - http://eudml.org/doc/281579

ER -

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