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Empirical Bayes Estimators of Parameter and Reliability Function for Compound Rayleigh Distribution under Record Data.

Published: 30 December 2012
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Abstract

Based on the record samples, the empirical Bayes estimators of parameter and reliability function for Compound Rayleigh distribution is investigated under the symmetric and asymmetric loss function. In this case the symmetric loss function is squared error and for the asymmetric loss functions, we consider LINEX and general Entropy loss function.

Published in American Journal of Theoretical and Applied Statistics (Volume 1, Issue 1)
DOI 10.11648/j.ajtas.20120101.12
Page(s) 12-15
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), 2012. Published by Science Publishing Group

Keywords

Empirical Bayes Estimate, Compound Rayleigh Distribution, Record Data

References
[1] M. Han, E-Bayesian estimation of failure probability and its application, Mathematical and Computer Modelling, 45, (2007),1272-1279.
[2] K.N. Chandler, The distribution and frequency of record values. Journal of the Royal Statistical Society. Series B, 14(1952) 220-228.
[3] M. Ahsanullah, Introduction to Record Statistics, NOVA Science Publishers Inc., Huntington, New York 1995.
[4] A. Asgharzadeh, On Bayesian estimation from exponential distribution based on records. Journal of the Korean Statistical Society, 38, (2009), 25-130.
[5] J. Ahmadi, Doostparast, M. and Parsian, A., Estimation and prediction in a two parameter exponential distribution based on k-record values under LINEX loss function. Communications in Statistics. Theory and Methods, 34, (2005), 795-805.
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  • APA Style

    Omid Shojaee, Reza Azimi, Manoochehr Babanezhad. (2012). Empirical Bayes Estimators of Parameter and Reliability Function for Compound Rayleigh Distribution under Record Data.. American Journal of Theoretical and Applied Statistics, 1(1), 12-15. https://doi.org/10.11648/j.ajtas.20120101.12

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    ACS Style

    Omid Shojaee; Reza Azimi; Manoochehr Babanezhad. Empirical Bayes Estimators of Parameter and Reliability Function for Compound Rayleigh Distribution under Record Data.. Am. J. Theor. Appl. Stat. 2012, 1(1), 12-15. doi: 10.11648/j.ajtas.20120101.12

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    AMA Style

    Omid Shojaee, Reza Azimi, Manoochehr Babanezhad. Empirical Bayes Estimators of Parameter and Reliability Function for Compound Rayleigh Distribution under Record Data.. Am J Theor Appl Stat. 2012;1(1):12-15. doi: 10.11648/j.ajtas.20120101.12

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  • @article{10.11648/j.ajtas.20120101.12,
      author = {Omid Shojaee and Reza Azimi and Manoochehr Babanezhad},
      title = {Empirical Bayes Estimators of Parameter and Reliability Function for Compound Rayleigh Distribution under Record Data.},
      journal = {American Journal of Theoretical and Applied Statistics},
      volume = {1},
      number = {1},
      pages = {12-15},
      doi = {10.11648/j.ajtas.20120101.12},
      url = {https://doi.org/10.11648/j.ajtas.20120101.12},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajtas.20120101.12},
      abstract = {Based on the record samples, the empirical Bayes estimators of parameter and reliability function for Compound Rayleigh distribution is investigated under the symmetric and asymmetric loss function. In this case the symmetric loss function is squared error and for the asymmetric loss functions, we consider LINEX and general Entropy loss function.},
     year = {2012}
    }
    

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    T1  - Empirical Bayes Estimators of Parameter and Reliability Function for Compound Rayleigh Distribution under Record Data.
    AU  - Omid Shojaee
    AU  - Reza Azimi
    AU  - Manoochehr Babanezhad
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    DO  - 10.11648/j.ajtas.20120101.12
    T2  - American Journal of Theoretical and Applied Statistics
    JF  - American Journal of Theoretical and Applied Statistics
    JO  - American Journal of Theoretical and Applied Statistics
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    UR  - https://doi.org/10.11648/j.ajtas.20120101.12
    AB  - Based on the record samples, the empirical Bayes estimators of parameter and reliability function for Compound Rayleigh distribution is investigated under the symmetric and asymmetric loss function. In this case the symmetric loss function is squared error and for the asymmetric loss functions, we consider LINEX and general Entropy loss function.
    VL  - 1
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Author Information
  • Department of Statistics, Faculty of sciences, Golestan University, Gorgan, Golestan,Iran

  • Department of Statistics, Faculty of sciences, Golestan University, Gorgan, Golestan,Iran

  • Department of Statistics, Faculty of sciences, Golestan University, Gorgan, Golestan,Iran

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