On Truncated Versions of the Xgamma Distribution: Various Estimation Methods and Statistical Modeling, By Morad Alizadeh

Research

Title	On Truncated Versions of the Xgamma Distribution: Various Estimation Methods and Statistical Modeling
Type	Article
Keywords	lifetime distribution, truncated distribution, survival, maximum likelihood, order statistics
Journal	Statistics, Optimization and Information Computing
DOI	https://doi.org/10.19139/soic-2310-5070-1660
Researchers	Subhradev Sen (First researcher) , Morad Alizadeh (Second researcher) , ,Mohamed Aboraya (Third researcher) , Mir Masoom Ali Mir Masoom Ali (Fourth researcher) , Haitham Yousof (Fifth researcher) , d Mohamed Ibrahim (Not in first six researchers)

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 estimation methods and the other for illustrating the applicability of the new model.