A new distribution with four parameters: Properties and applications

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Sigma Mühendislik ve Fen Bilimleri Dergisi
Volume:41 Issue:2
A new distribution with four parameters: Properties and applications

A new distribution with four parameters: Properties and applications

Authors : Kadir Karakaya, Ismail Kınacı, Coşkun Kuş, Yunus Akdoğan

Pages : 276-287

View : 38 | Download : 35

Publication Date : 2023-04-30

Article Type : Research Paper

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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