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

Navaei, Leader

Serdica Mathematical Journal (2011)

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

Abstract

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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.

How to cite

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Navaei, 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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