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Abstract
‎In this work‎, ‎we study the kumaraswamy weibull geometric ($Kw-WG$) distribution which includes as special cases‎, ‎several models such as the kumaraswamy weibull distribution‎, ‎kumaraswamy exponential distribution‎, ‎weibull geometric distribution‎, ‎exponential geometric distribution‎, ‎to name a few‎. ‎This distribution was monotone and non-monotone hazard rate functions‎, ‎which are useful in lifetime data analysis and reliability‎. ‎We derive some basic properties of the $Kw-WG$ distribution including noncentral $r$th‎-moments, ‎skewness‎, ‎kurtosis‎, ‎generating functions‎, ‎mean deviations‎, ‎mean residual life‎, ‎entropy‎, ‎order statistics and certain characterizations of our distribution‎. ‎The method of maximum likelihood is used for estimating the model parameters and a simulation study to investigate the behavior of this estimation is presented‎. ‎Finally‎, ‎an application of the new distribution and its comparison with recent flexible generalization of weibull distribution is illustrated via two real data sets‎.
Keywords
‎Weibull Geometric distribution
Data Analysis
Moments
Entropy
Characterizations
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How to Cite
Rasekhi, M., Alizadeh, M., & Hamedani, G. (2018). The Kumaraswamy Weibull Geometric Distribution with Applications. Pakistan Journal of Statistics and Operation Research, 14(2), 347-366. https://doi.org/10.18187/pjsor.v14i2.1551