Kumaraswamy Weibull Distribution

Document Type : Scientific Research

Authors

Abstract

In this article, we introduce the Kumaraswamy Weibull distribution and discuss some features of this distribution.
That is a quite flexible model in analyzing positive data. It contains special sub-models the exponentiated Weibull, exponentiated Rayleigh,exponentiated exponential,Weibull and also the new Kumaraswamy exponential distribution, Explicit Expressions for moments, moment generating function, and also we present the results of the simulation on the distribution.

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[1] G. M. Cordeiro, E. M. M. Ortega and S. Nadarajah, {em The Kumaraswamy Weibull distribution with application to failure data}, Journal of the Franklin Institute 347(2010)1399–1429.
[2] N. Eugene, C. Lee and F. Famoye, {em Beta-normal distribution and its applications}, Communications in Statistics —Theory and Methods 31 (2002) 497–512.
[3] W. Q. Meeker and L. A. Escobar, {em Statistical Methods for Reliability Data}, John Wiley, New York, 1998.‎
[4] G. Muraleedharan, A. D. Rao, P. G. Kurup, N. Unnikrishnan Nair and M. Sinha, {em Modified Weibull distribution for maximum and significant wave height simulation and prediction}, Coastal Engineering 54(2008) 630–638.
[5] A. P. Prudnikov, Y. A. Brychkov and O. I. Marichev, {em Integrals and Series}, vol.1, Gordon and Breach Science Publishers, Amsterdam, 1986.‎‎‎