Document Type

Article

Publication Date

10-2015

Publication Title

Austrian Journal of Statistics

DOI

10.17713/ajs.v44i3.36

ISSN

1026-597X

Abstract

A new five parameter gamma-generalized modified Weibull (GGMW) distribution which includes exponential, Rayleigh, modified Weibull, Weibull, gamma-modified Weibull, gamma-modified Rayleigh, gamma-modified exponential, gamma-Weibull, gamma-Rayleigh, and gamma-exponential distributions as special cases is proposed and studied. Some mathematical properties of the new class of distributions including moments, distribution of the order statistics, and Renyi entropy are presented. Maximum likelihood estimation technique is used to estimate the model parameters and applications to a real datasets to illustrates the usefulness of the proposed class of models are presented.

Comments

The Austrian Journal of Statistics publish open access articles under the terms of the Creative Commons Attribution (CC BY) License.

Included in

Mathematics Commons

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