Pure and Applied Mathematics Journal

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Bayesian Test for Lifetime Performance Index of Ailamujia Distribution Under Squared Error Loss Function

Received: 05 October 2016    Accepted: 14 October 2016    Published: 07 November 2016
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Abstract

The aim of this paper is to estimate the lifetime performance index of Ailamujia distribution. A Bayesian test procedure is developed under squared error loss function. Firstly, Bayes estimation of life performance index is derived, then a Bayesian test procedure for lifetime performance index using posteriori probability ratio test method. Finally, an example is used to illustrate the effectiveness and feasibility of the method.

DOI 10.11648/j.pamj.20160506.12
Published in Pure and Applied Mathematics Journal (Volume 5, Issue 6, December 2016)
Page(s) 181-185
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Bayes Estimation, Lifetime Performance Index, Bayes Test, Ailamujia Distribution, Squared Error Loss Function

References
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Author Information
  • Department of Basic Subjects, Hunan University of Finance and Economics, Changsha, China

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  • APA Style

    Lanping Li. (2016). Bayesian Test for Lifetime Performance Index of Ailamujia Distribution Under Squared Error Loss Function. Pure and Applied Mathematics Journal, 5(6), 181-185. https://doi.org/10.11648/j.pamj.20160506.12

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    ACS Style

    Lanping Li. Bayesian Test for Lifetime Performance Index of Ailamujia Distribution Under Squared Error Loss Function. Pure Appl. Math. J. 2016, 5(6), 181-185. doi: 10.11648/j.pamj.20160506.12

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    AMA Style

    Lanping Li. Bayesian Test for Lifetime Performance Index of Ailamujia Distribution Under Squared Error Loss Function. Pure Appl Math J. 2016;5(6):181-185. doi: 10.11648/j.pamj.20160506.12

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  • @article{10.11648/j.pamj.20160506.12,
      author = {Lanping Li},
      title = {Bayesian Test for Lifetime Performance Index of Ailamujia Distribution Under Squared Error Loss Function},
      journal = {Pure and Applied Mathematics Journal},
      volume = {5},
      number = {6},
      pages = {181-185},
      doi = {10.11648/j.pamj.20160506.12},
      url = {https://doi.org/10.11648/j.pamj.20160506.12},
      eprint = {https://download.sciencepg.com/pdf/10.11648.j.pamj.20160506.12},
      abstract = {The aim of this paper is to estimate the lifetime performance index of Ailamujia distribution. A Bayesian test procedure is developed under squared error loss function. Firstly, Bayes estimation of life performance index is derived, then a Bayesian test procedure for lifetime performance index using posteriori probability ratio test method. Finally, an example is used to illustrate the effectiveness and feasibility of the method.},
     year = {2016}
    }
    

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