Exponentiated power Lindley distribution

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• 作者：Samir K. Ashour^a ; ^{ashoursamir@hotmail.com" class="auth_mail" title="E-mail the corresponding author} ; Mahmoud A. Eltehiwy^b
• 关键词：EPLD ; Exponentiated power Lindley distribution ; PLD ; Power Lindley distribution ; BGLD ; Beta generalized Lindley distribution ; GLD ; Generalized Lindley distribution ; LD ; Lindley distribution ; MW ; Modified Weibull distribution ; WD ; Weibull distribution ; EE ; Exponentiated exponential distribution ; Cdf ; Cumulative distribution function ; pdf ; Probability density function ; h(t) ; Hazard rate function ; Q(p) ; Quantile function ; E(Xr) ; The rth moment ; MX(t) ; The moment generating function ; MLE ; Maximum li
• 刊名：Journal of Advanced Research
• 出版年：2015
• 出版时间：November 2015
• 年：2015
• 卷：6
• 期：6
• 页码：895-905
• 全文大小：624 K

文摘

A new generalization of the Lindley distribution is recently proposed by Ghitany et al. [1], called as the power Lindley distribution. Another generalization of the Lindley distribution was introduced by Nadarajah et al. [2], named as the generalized Lindley distribution. This paper proposes a more generalization of the Lindley distribution which generalizes the two. We refer to this new generalization as the exponentiated power Lindley distribution. The new distribution is important since it contains as special sub-models some widely well-known distributions in addition to the above two models, such as the Lindley distribution among many others. It also provides more flexibility to analyze complex real data sets. We study some statistical properties for the new distribution. We discuss maximum likelihood estimation of the distribution parameters. Least square estimation is used to evaluate the parameters. Three algorithms are proposed for generating random data from the proposed distribution. An application of the model to a real data set is analyzed using the new distribution, which shows that the exponentiated power Lindley distribution can be used quite effectively in analyzing real lifetime data.