Staff Members - Benha University
Mixture of Exponentiated Frechet Distribution
Life Science Journal • 2014
Publication Information
Authors
M.M. Badr and A.I. Shawky
Keywords
Exponentiated Frechet distribution (EFD); Maximum likelihood estimation; Bayes estimation;
quadratic loss function; LINEX loss function.
Journal
Life Science Journal
Publisher
Not Available
Volume
11
Issue
3
Pages
392-404
publication.type
International
Paper Link
Not Available
Supplementary Materials
Not Available
Abstract
Abstract: In this paper, we will discuss the problem of estimating the parameters, reliability and failure rate
functions of the finite mixture of two components from exponentiated Frechet distributions (MEFD). The maximum
likelihood estimation (MLE) and Bayes methods of estimation are used. An approximation form due to Lindley
(1980) is used for deriving the Bayes estimates under the squared error loss (quadratic loss) and LINEX loss
functions. Through Monte Carlo simulation, the mean square errors (MSE'S) of the estimators are computed and
compared between them.
functions of the finite mixture of two components from exponentiated Frechet distributions (MEFD). The maximum
likelihood estimation (MLE) and Bayes methods of estimation are used. An approximation form due to Lindley
(1980) is used for deriving the Bayes estimates under the squared error loss (quadratic loss) and LINEX loss
functions. Through Monte Carlo simulation, the mean square errors (MSE'S) of the estimators are computed and
compared between them.