A new distribution with four parameters: Properties and applications

Year 2023, Volume: 41 Issue: 2, 276 - 287, 30.04.2023

Kadir Karakaya , İsmail Kınacı Coşkun Kuş , Yunus Akdoğan

Abstract

In this paper, a new lifetime distribution called compounded geometric-mixture exponential distribution is proposed by compounding the mixture exponential and geometric distribu-tions. Some properties of the new distribution such as survival function, hazard function, mo-ments, Lorenz and Bonferroni curves, etc. are obtained. The estimations of four parameters of the new model are studied by several methods. A Monte Carlo simulation study is performed to understand the behavior of estimators. Two real data applications are also provided.

Keywords

Compound Distributions, Estimation, Geometric, Distribution, Mixture Exponential Distribution

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