Applications of Marshall-Olkin Generalized Family of Distributions

Lishamol Tomy; K. K. Jose; Sophia P. Thomas

doi:10.37591/rrjost.v7i1.30

Abstract

In this paper, we discuss the applications of Marshall-Olkin extended distributions introduced by Marshall and Olkin A new method for adding a parameter to a family of distributions with Application to the Exponential and Weibull Families, Biometrica, 84, 641-652. We provide several applications of the Marshall-Olkin extended family of distributions in reliability theory, entropy analysis, stress-strength reliability modelling, exponentiated generalized distributions, acceptance sampling inspection plans, record values and autoregressive minification process, etc. The paper also attempts to provide a comprehensive bibliography of contributed literature on the applications of the Marshall-Olkin extended family of distributions. Illustration with the help of a real data set is also provided to validate the theory. Keywords: Autoregression, estimation, entropy, Max-Min process, minification process, record values, stress-strength reliability, time series modellingCite this Article Lishamol Tomy, Jose KK, Thomas Sophia P. Applications of Marshall-Olkin Generalized Family of Distributions. Research & Reviews: Journal of Statistics. 2018; 7(1): 22–37p.