Kumaraswamy Marshall-Olkin Exponential distribution. Issue 8 (18th April 2019)

• Record Type: Journal Article
• Authors: George, Roshini; Thobias, S.
• Is Part Of: Communications in statistics. Volume 48:Issue 8(2019)
• Page Start: 1920
• Page End: 1937
• Publication Date: 2019-04-18
• Subjects: Characterization -- Kumaraswamy distribution -- Renyi entropy -- Simulation -- Stochastic ordering.; 62E15; Mathematical statistics -- Periodicals; Mathematics; Statistics; 519.2
• DOI: 10.1080/03610926.2018.1440594
• Languages: English
• ISSNs: 0361-0926

Abstract

ABSTRACT: In this paper, a new generalization of the Kumaraswamy distribution namely, the Kumaraswamy Marshall-Olkin Exponential distribution (KwMOE) is introduced and studied. Various properties are explored. The structural analysis includes various aspects such as limiting behaviour, shape properties, moments, quantiles, mean deviation, Renyi entropy, order statistics and stochastic ordering. Some useful characterizations of the family are also obtained. The method of maximum likelihood is used to estimate the model parameters. Monte Carlo simulation study is being conducted. An application to a real data set is presented for illustrative purposes.