Empirical Bayes Test for the Parameter of Exponential-Weibull Distribution under Negative Associated Samples

Li, Naiyi; Li, Yongming

Serdica Mathematical Journal (2014)

  • Volume: 40, Issue: 1, page 77-88
  • ISSN: 1310-6600

Abstract

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By using weighted kernel-type density estimator, the empirical Bayes test rules for parameter of Exponential-Weibull distribution are constructed and the asymptotically optimal property is obtained under negative associated samples. It is shown that the convergence rates of the proposed EB test rules can arbitrarily close to O(n^−1/2) under very mild conditions. 2010 Mathematics Subject Classification: 62C12, 62F12.

How to cite

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Li, Naiyi, and Li, Yongming. "Empirical Bayes Test for the Parameter of Exponential-Weibull Distribution under Negative Associated Samples." Serdica Mathematical Journal 40.1 (2014): 77-88. <http://eudml.org/doc/294997>.

@article{Li2014,
abstract = {By using weighted kernel-type density estimator, the empirical Bayes test rules for parameter of Exponential-Weibull distribution are constructed and the asymptotically optimal property is obtained under negative associated samples. It is shown that the convergence rates of the proposed EB test rules can arbitrarily close to O(n^−1/2) under very mild conditions. 2010 Mathematics Subject Classification: 62C12, 62F12.},
author = {Li, Naiyi, Li, Yongming},
journal = {Serdica Mathematical Journal},
keywords = {Negative associated samples; empirical Bayes test; asymptotic optimality; convergence rates},
language = {eng},
number = {1},
pages = {77-88},
publisher = {Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences},
title = {Empirical Bayes Test for the Parameter of Exponential-Weibull Distribution under Negative Associated Samples},
url = {http://eudml.org/doc/294997},
volume = {40},
year = {2014},
}

TY - JOUR
AU - Li, Naiyi
AU - Li, Yongming
TI - Empirical Bayes Test for the Parameter of Exponential-Weibull Distribution under Negative Associated Samples
JO - Serdica Mathematical Journal
PY - 2014
PB - Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences
VL - 40
IS - 1
SP - 77
EP - 88
AB - By using weighted kernel-type density estimator, the empirical Bayes test rules for parameter of Exponential-Weibull distribution are constructed and the asymptotically optimal property is obtained under negative associated samples. It is shown that the convergence rates of the proposed EB test rules can arbitrarily close to O(n^−1/2) under very mild conditions. 2010 Mathematics Subject Classification: 62C12, 62F12.
LA - eng
KW - Negative associated samples; empirical Bayes test; asymptotic optimality; convergence rates
UR - http://eudml.org/doc/294997
ER -

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