Mixture of two inverse Weibull distributions: Properties and estimation

Authors:
K. S. Sultan;M. A. Ismail;A. S. Al-Moisheer
Affiliations:
Department of Statistics and Operations Research, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia;Department of Statistics and Operations Research, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia;Department of Statistics and Operations Research, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia
Venue:
Computational Statistics & Data Analysis
Year:
2007

Citing 2
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Testing the number of components of the mixture of two inverse Weibull distributions

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Abstract

The mixture model of two Inverse Weibull distributions (MTIWD) is investigated. First, some properties of the model with some graphs of the density and hazard function are discussed. Next, the identifiability property of the MTIWD is proved. In addition, the estimates of the unknown parameters via the EM Algorithm are obtained. The performance of the findings in the paper is showed by demonstrating some numerical illustrations through Monte Carlo simulations.