On Truncated Versions of Xgamma Distribution: Various Estimation Methods and Statistical modelling

  • Subhradev Sen
  • Morad Alizadeh
  • Mohamed Aboraya
  • M. Masoom Ali
  • Haitham M. Yousof
  • Mohamed Ibrahim Department of Applied, Mathematical and Actuarial Statistics, Faculty of Commerce, Damietta University, Damietta, Egypt
Keywords: lifetime distribution, truncated distribution, survival, maximum likelihood, order statistics

Abstract

In this article, we introduced the truncated versions (lower, upper and double) of xgamma distribution (Sen et al. 2016). In particular, different structural and distributional properties such as moments, popular entropy measures, order statistics and survival characteristics of the upper truncated xgamma distribution are discussed in detail. We briefly describe different estimation methods, namely the maximum likelihood, ordinary least squares, weighted least square and L-Moments. Monte Carlo simulation experiments are performed for comparing the performances of the proposed methods of estimation for both small and large samples under the lower, upper and double versions. Two applications are provided, the first one comparing estimationmethods and the other for illustrating the applicability of the new model.

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Published
2023-12-19
How to Cite
Sen, S., Alizadeh, M., Mohamed Aboraya, Ali, M. M., M. Yousof, H., & Mohamed Ibrahim. (2023). On Truncated Versions of Xgamma Distribution: Various Estimation Methods and Statistical modelling. Statistics, Optimization & Information Computing, 12(4), 943-961. https://doi.org/10.19139/soic-2310-5070-1660
Section
Research Articles

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