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Bayes Estimation under a Finite Mixture of Truncated Generalized Cauchy Distributions Based On Censored Data with Application

Author

Listed:
  • Saieed F Ateya

    (Department of Mathematics & Statistics, Taif University, Saudi Arabia
    Department of Mathematics, Assiut University, Egypt)

  • Hesah A Al Khald

    (Department of Mathematics & Statistics, Taif University, Saudi Arabia)

Abstract

In this paper, the Bayes estimates (BE’s) of the parameters, reliability and hazard rate functions of a finite mixture of truncated generalized Cauchy distributions are obtained based on type-I, type-II and progressively type-II censored samples. A simulation study is carried out to study the behaviour of the mean squared errors (MSE’s) of the estimates. All previous parameters and functions are obtained based on generated type-I, type-II and progressively type-II censored samples generated from a real data set as illustrative application.

Suggested Citation

  • Saieed F Ateya & Hesah A Al Khald, 2018. "Bayes Estimation under a Finite Mixture of Truncated Generalized Cauchy Distributions Based On Censored Data with Application," Biostatistics and Biometrics Open Access Journal, Juniper Publishers Inc., vol. 5(1), pages 14-21, February.
    • Handle: RePEc:adp:jbboaj:v:5:y:2018:i:1:p:14-21
    DOI: 10.19080/BBOAJ.2018.05.555652
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    References listed on IDEAS

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    1. Satheesh Kumar C & Manju L, 2017. "A Note on Logistic Mixture Distributions," Biostatistics and Biometrics Open Access Journal, Juniper Publishers Inc., vol. 2(5), pages 122-124, August.
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