Journal of Engineering and Applied Sciences

Year: 2019
Volume: 14
Issue: 22
Page No. 8147 - 8159

Estimating Reliability and Availability Function for Different Production Systems

Authors : Haidar A. Ameer

Abstract: This study introduces a new generalization of the transmuted Marshall-Olkin Frechet distribution of Afify using Kumaraswamy generalized family. The new model is referred to as Kumaraswamy transmuted Marshall-Olkin Frechet distribution. This model contains 62 sub-models as special cases such as the Kumaraswamy transmuted Frechet, Kumaraswamy transmuted Marshall-Olkin, generalized inverse Weibull and Kumaraswamy Gumbel type 2 distributions among others. Various mathematical properties of the proposed distribution including closed forms for ordinary and incomplete moments, quantile and generating functions and Renyi and 0-entropies are derived. The unknown parameters of the new distribution are estimated using the maximum likelihood estimation. We illustrate the importance of the new model by means of two applications to real data sets.

How to cite this article:

Haidar A. Ameer , 2019. Estimating Reliability and Availability Function for Different Production Systems. Journal of Engineering and Applied Sciences, 14: 8147-8159.

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