10.6084/m9.figshare.5962504.v2 Roshini George Roshini George S. Thobias S. Thobias Kumaraswamy Marshall-Olkin Exponential distribution Taylor & Francis Group 2019 Characterization Kumaraswamy distribution Renyi entropy Simulation Stochastic ordering. 62E15 2019-06-12 19:18:21 Journal contribution https://tandf.figshare.com/articles/journal_contribution/Kumaraswamy_Marshall-Olkin_Exponential_Distribution/5962504 <p>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.</p>