Volume no :18, Issue no: 2, December

ON STATISTICAL PROPERTIES OF THE EXPONENTIATED TRANSMUTED INVERTED WEIBULL DISTRIBUTION

Author's: Ogunde Adebisi Ade, Omosigho Donatus Osaretin and Fatoki Olayode
Pages: [143] - [164]
Received Date: November 24, 2017
Submitted by:
DOI: http://dx.doi.org/10.18642/jsata_7100121900

Abstract

This work introduces a new generalization of the one parameter inverted Weibull distribution. The quadratic rank transmutation approach has been investigated. This new distribution is named exponentiated transmuted inverted Weibull (ETIW) distribution which is flexible and capable of modelling various shapes of ageing and failure characteristics. The properties of the new model are discussed and the maximum likelihood estimation is used to estimate the parameters. Explicit expressions were derived for the quantile, moment, and order statistics were examined.

Keywords

exponentiated, transmutation map, maximum likelihood estimation, quantile.