Comparing of some estimation methods for parameters of the Marshall-Olkin generalized exponential distribution under progressive Type-I interval censoring

Authors : Hamzeh TORABİ, Masumeh FOROOGHİ, Hossein NADEB

Pages : 1605-1620

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Publication Date : 2016-10-01

Article Type : Research Paper

Abstract :In this paper, we estimate the parameters of the Marshall-Olkin generalized exponential distribution under progressive Type-I interval censoring based on maximum likelihood, moment method and probability plot. A simulation study is conducted to compare these estimates in terms of mean squared errors and biases. Finally, these estimate methods are applied to a real data set based on patients with breast cancer in order to demonstrate the applicabilities.
Keywords : EM algorithm, Generalized exponential distribution, Maximum likelihood estimate, Method of moments, Type I interval censoring