Chinese Quarterly Journal of Mathematics ›› 2012, Vol. 27 ›› Issue (1): 54-58.

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Empirical Bayes Test for Two-parameter Exponential Distribution under Type-II Censored Samples

  

  1. 1. Department of Applied Mathematics, Northwestern Polytechnical University 2. College of Medicine, Xi'an Jiaotong University

  • Received:2009-09-23 Online:2012-03-30 Published:2023-04-06
  • About author:WANG Liang(1983-), male, native of Xi’an, Shaanxi, a Ph.D. of Northwestern Polytechnical University, engages in Bayes analysis.
  • Supported by:
    Supported by the NNSF of China(70471057); Supported by the Natural Science Foundation of the Education Department of Shannxi Province(03JK065)

Abstract: The empirical Bayes test problem is considered for scale parameter of two-parameter exponential distribution under type-II censored data. By using wavelets estimation method, the EB test function is constructed, of which the asymptotic optimality and convergence rates are obtained. Finally, an example concerning the main result is given.


Key words: two-parameter exponential distribution, wavelets estimation, empirical Bayes test, asymptotic optimality, convergence rates

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