The Weibull-power function distribution with applications

Year 2016, Volume: 45 Issue: 1, 245 - 265, 01.02.2016

M. H. Tahir Morad Alizadeh , M. Mansoor , Gauss M. Cordeiro M. Zubair

Abstract

Recently, several attempts have been made to define new models that
extend well-known distributions and at the same time provide great
flexibility in modelling real data. We propose a new four-parameter
model named the Weibull-power function (WPF) distribution which
exhibits bathtub-shaped hazard rate. Some of its statistical properties
are obtained including ordinary and incomplete moments, quantile and
generating functions, Rényi and Shannon entropies, reliability and order statistics. The model parameters are estimated by the method of
maximum likelihood. A bivariate extension is also proposed. The new
distribution can be implemented easily using statistical software packages. We investigate the potential usefulness of the proposed model
by means of two real data sets. In fact, the new model provides a
better fit to these data than the additive Weibull, modified Weibull,
Sarahan-Zaindin modified Weibull and beta-modified Weibull distributions, suggesting that it is a reasonable candidate for modeling survival
data. 

Keywords

Generalized uniform distribution, moments, power function distribution, Weibull-G class

References

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