The alpha power Weibull Frechet distribution: properties and applications

Year 2020, Volume: 5 Issue: 3, 170 - 185, 30.12.2020

J. T. Eghwerido

Abstract

Modeling everyday life processes play a great role in human existence. Thus, distribution theory has helped to understand how our everyday life processes are distributed. However, this depends on how researchers in distribution theory compound several distributions to derive a more flexible distribution. This study proposes the alpha power Weibull Frechet distribution for real-life datasets. However, some statistical structural properties of the model such as kurtosis, hazard rate and odd functions, cumulative, quantiles, reversed hazard, skewness, order statistics and survival function were derived. The parameters of the proposed model were obtained using the maximum likelihood method. The behavioural nature of the model was studied through simulation. Finally, a two real life data was used to investigate the performance of the proposed model. The results show that the new model performs better than some existing continuous models in statistical literature.

Keywords

Alpha power, Compounding, Maximum likelihood, Statistical analysis, Weibull Frechet.

Supporting Institution

NIL

Project Number

NIL

Thanks

NIL

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