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Abstract

In this paper, a new generalization of one parameter Lindely distribution is proposed. The new distribution is a mixture distribution of Gamma distributions with fixed scale parameter and variable shape parameter. The distribution is called 'GOLD Distribution' as it is a generalization for several distributions such as exponential, Lindely, Sujatha, Amarendra, Devya and Shambhu distributions. The probability density and cumulative density functions are derived. Also, the statistical properties of the GOLD distribution are discussed. Parameter estimation using the maximum likelihood and the method of moments are given. Moreover, an illustration of the usefulness of the GOLD distribution in survival data analysis is discussed based on a real lifetime data.

Keywords

Gamma Distribution Mixture Distributions Lindely Distribution Survival Analysis Statistical Measures

Article Details

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Author Biography

Mohammad Al-Talib, Department of Statistics, Yarmouk University, 21163 Irbid, Jordan

Department of Statistics, Assistant professor

How to Cite
Al-Talib, M., Al-Nasser, A., & Ciavolino, E. (2023). GOLD DISTRIBUTION Another Look on the Generalization of Lindely Distribution. Pakistan Journal of Statistics and Operation Research, 19(2), 241-256. https://doi.org/10.18187/pjsor.v19i2.3255
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