ISSN: 1304-7191 | E-ISSN: 1304-7205
A new distribution with four parameters: Properties and applications
1Department of Statistics, Selçuk University, Konya, 42130, Turkiye
2Department of Actuarial Science, Selçuk University, Konya, 42130,Turkiye
Sigma J Eng Nat Sci 2023; 41(2): 276-287 DOI: 10.14744/sigma.2023.00039
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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.