Open AccessThe Generalized Inverse Generalized Weibull Distribution and Its Properties
Author(s) -
Kanchan Jain,
Neetu Singla,
Suresh Sharma
Publication year - 2014
Publication title -
journal of probability
Language(s) - English
Resource type - Journals
eISSN - 2356-7589
pISSN - 2314-8373
DOI - 10.1155/2014/736101
Subject(s) - weibull distribution , inverse distribution , generalized inverse , inverse , generalization , generalized beta distribution , mathematics , generalized integer gamma distribution , weibull modulus , exponentiated weibull distribution , statistics , distribution (mathematics) , generalized gamma distribution , reliability (semiconductor) , generalized inverse gaussian distribution , statistical physics , gamma distribution , probability distribution , mathematical analysis , heavy tailed distribution , distribution fitting , physics , thermodynamics , geometry , quantum mechanics , gaussian random field , gaussian process , gaussian , power (physics)
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.
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