Volume no :15, Issue no: 1, March (2016)

Journal of Statistics: Advances in Theory and Applications

A GENERAL MODEL BASED ON ADDITIVE WEIBULL DISTRIBUTION: WITH APPLICATION

Author's: S. M. Mohamed and A. A. E. Ahmed
Pages: [51] - [70]
Received Date: November 22, 2015
Submitted by:
DOI: http://dx.doi.org/10.18642/jsata_7100121605

Abstract

This paper introduces a new generalization of the transmuted additive Weibull distribution by Elbatal and Aryal [3], based on a new family of lifetime distribution. We refer to the new distribution as Kumaraswamy new transmuted additive Weibull (Kw-NTAW) distribution. The new model contains more than seventy of lifetime distributions as special cases such as the transmuted additive Weibull, Kumaraswamy-transmuted exponentiated modified Weibull (Kw-TEMW), exponentiated modified Weibull, exponentiated Weibull, exponentiated exponential, transmuted Weibull, Rayleigh, linear failure rate, and exponential distributions, among others. The properties of the new model are discussed. Explicit expressions are derived for the moments. An application to real data set is finally presented for illustration.

Keywords

Kumaraswamy distribution, transmutation, survival function, exponentiated exponential, order statistics, maximum likelihood estimation.