Marshall-Olkin Chris-Jerry Distribution and its Applications


Authors : Okechukwu J. Obulezi; Ifeanyi C. Anabike; Orji G. Oyo; Etaga Harrison O; Chinyere P. Igbokwe

Volume/Issue : Volume 8 - 2023, Issue 5 - May

Google Scholar : https://bit.ly/3TmGbDi

Scribd : https://bit.ly/3WjYL0r

DOI : https://doi.org/10.5281/zenodo.7949632

In this paper, a new lifetime distribution known as the Marshall-Olkin Chris-Jerry (MOCJ) distribution is proposed. The proposition is motivated by Marshall-Olkin family of distributions and the oneparameter Chris-Jerry distribution. Some of its useful mathematical properties were derived and the derivation of the Pietra measure of inequality lends this distribution to wider application especially in income and population distributions. Two real data sets were used to illustrate the proposed model. From the results, the MOCJ distribution performed better than the other fitted distributions.

Keywords : Chris-Jerry distribution, Marshall-Olkin distribution, Marshall-Olkin Chris-Jerry distribution, Holomorphic extension, Incomplete Moment, Normalized Incomplete Moment, Pietra Measure of Inequality.

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