On Truncated Versions of Xgamma Distribution: Various Estimation Methods and Statistical modelling
Subhradev Sen, Morad Alizadeh, Mohamed Aboraya, Mir Masoom Ali, Haitham M. Yousof, Mohamed Ibrahim · Statistics Optimization & Information Computing · 2023
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.