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Half-Logistic Xgamma Distribution: Properties and Estimation under Censored Samples

Author

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  • Rashad Bantan
  • Amal S. Hassan
  • Mahmoud Elsehetry
  • B. M. Golam Kibria

Abstract

This paper proposed a new probability distribution, namely, the half-logistic xgamma (HLXG) distribution. Various statistical properties, such as, moments, incomplete moments, mean residual life, and stochastic ordering of the proposed distribution, are discussed. Parameter estimation of the half-logistic xgamma distribution is approached by the maximum likelihood method based on complete and censored samples. Asymptotic confidence intervals of model parameters are provided. A simulation study is conducted to illustrate the theoretical results. Moreover, the model parameters of the HLXG distribution are estimated by using the maximum likelihood, least square, maximum product spacing, percentile, and Cramer–von Mises (CVM) methods. Superiority of the new model over some existing distributions is illustrated through three real data sets.

Suggested Citation

  • Rashad Bantan & Amal S. Hassan & Mahmoud Elsehetry & B. M. Golam Kibria, 2020. "Half-Logistic Xgamma Distribution: Properties and Estimation under Censored Samples," Discrete Dynamics in Nature and Society, Hindawi, vol. 2020, pages 1-18, June.
    • Handle: RePEc:hin:jnddns:9136513
    DOI: 10.1155/2020/9136513
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    Cited by:

    1. Rashad Bantan & Mahmoud Elsehetry & Amal S. Hassan & Mohammed Elgarhy & Dreamlee Sharma & Christophe Chesneau & Farrukh Jamal, 2021. "A Two-Parameter Model: Properties and Estimation under Ranked Sampling," Mathematics, MDPI, vol. 9(11), pages 1-16, May.

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