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The Kumaraswamy-transmuted exponentiated modified Weibull distribution

机译:Kumaraswamy变换的指数幂修正的Weibull分布

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This article introduces a new generalization of the transmuted exponentiated modified Weibull distribution introduced by Eltehiwy and Ashour in 2013, using Kumaraswamy distribution introduced by Cordeiro and de Castro in 2011. We refer to the new distribution as Kumaraswamy-transmuted exponentiated modified Weibull (Kw-TEMW) distribution. The new model contains 54 lifetime distributions as special cases such as the KumaraswamyWeibull, exponentiated modified Weibull, exponentiated Weibull, exponentiated exponential, transmuted Weibull, Rayleigh, linear failure rate, and exponential distributions, among others. The properties of the new model are discussed and the maximum likelihood estimation is used to evaluate the parameters. Explicit expressions are derived for the moments and examine the order statistics. This model is capable of modeling various shapes of aging and failure criteria.
机译:本文介绍了由Eltehiwy和Ashour于2013年引入的trans变指数改进的Weibull分布的新概括,使用了由Cordeiro和de Castro在2011年引入的Kumaraswamy分布。 )分发。新模型包含54个生命周期分布,例如KumaraswamyWeibull,指数型改良Weibull,指数型Weibull,指数型,变型Weibull,瑞利,线性故障率和指数分布等特殊情况。讨论了新模型的属性,并使用最大似然估计来评估参数。此刻会导出明确的表达式,并检查订单统计信息。该模型能够对各种形状的老化和失效准则进行建模。

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