A New Mixture of Exponential-Gamma Distribution

• Published in: Gazi University Journal of Science Vol. 33; no. 2; pp. 548 - 564
• Main Authors: EKHOSUEHI, Nosakhare, NZEI, Lawrence, OPONE, Festus
• Format: Journal Article
• Language: English
• Published: Gazi Üniversitesi Yayınları 01-06-2020
• Subjects: Bilim-Teknoloji; Ankara; Türkiye; Gamma Mixture; Standardized Lindley; Maximum Likelihood; Estimation; Structural properties
• ISSN: 2147-1762; 2147-1762
• DOI: 10.35378/gujs.475102

A new distribution called New Mixture of Exponential-Gamma Distribution is presented in this paper. This new distribution contains exponential and standardized Lindley distributions as sub models. Some of the structural properties of the proposed distribution which include the survival function, hazard rate function, moments, moment generating function, quantile function, distribution of order statistics and Renyi entropy are obtained. The maximum likelihood method of estimation was used to estimate the parameters of the distribution. A Simulation study was carried out to examine the performance and accuracy of the maximum likelihood estimates of the proposed distribution. An application of the proposed distribution to two real lifetime datasets is presented to illustrate its usefulness and superiority over some existing related models.