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The Marshall–Olkin extended generalized Rayleigh distribution: Properties and applications

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ABSTRACT In this paper, a new extension for the generalized Rayleigh distribution is introduced. The proposed model, called Marshall–Olkin extended generalized Rayleigh distribution, arises based on the scheme introduced by… Click to show full abstract

ABSTRACT In this paper, a new extension for the generalized Rayleigh distribution is introduced. The proposed model, called Marshall–Olkin extended generalized Rayleigh distribution, arises based on the scheme introduced by Marshall and Olkin (1997). A comprehensive account of the mathematical properties of the new distribution is provided. We discuss about the estimation of the model parameters based on two estimation methods. Empirical applications of the new model to real data are presented for illustrative purposes.

Keywords: rayleigh distribution; extended generalized; generalized rayleigh; marshall olkin; olkin extended; distribution

Journal Title: Communications in Statistics - Theory and Methods
Year Published: 2017

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