Table of Contents
Journal of Probability
Volume 2014 (2014), Article ID 736101, 11 pages
http://dx.doi.org/10.1155/2014/736101
Research Article

The Generalized Inverse Generalized Weibull Distribution and Its Properties

Department of Statistics, Panjab University, Chandigarh 160014, India

Received 25 February 2014; Revised 2 July 2014; Accepted 8 July 2014; Published 6 August 2014

Academic Editor: Farrukh Mukhamedov

Copyright © 2014 Kanchan Jain et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The Inverse Weibull distribution has been applied to a wide range of situations including applications in medicine, reliability, and ecology. It can also be used to describe the degradation phenomenon of mechanical components. We introduce Inverse Generalized Weibull and Generalized Inverse Generalized Weibull (GIGW) distributions. GIGW distribution is a generalization of several distributions in literature. The mathematical properties of this distribution have been studied and the mixture model of two Generalized Inverse Generalized Weibull distributions is investigated. Estimates of parameters using method of maximum likelihood have been computed through simulations for complete and censored data.