The Balakrishnan-Alpha-Beta-Skew-Laplace Distribution: Properties and Applications

Sricharan Shah, P. Hazarika, S. Chakraborty, M. Alizadeh
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Abstract

In this paper, a new form of alpha-beta-skew-Laplace distribution is proposed under Balakrishnan [3] mechanism and investigated some of its related distributions. The moments, distributional properties and some extensions of the proposed distribution have also studied. Finally, the suitability and the appropriateness of the proposed distribution has tested by conducting data fitting experiment and comparing the values of Akaike Information Criterion (AIC) and Bayesian Information Criterion (BIC) with the values of some other related distributions. Likelihood Ratio test is used for discriminating between the nested models.
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Balakrishnan-Alpha-Beta-Skew-Laplace分布:性质与应用
本文在Balakrishnan[3]机制下提出了一种新的α - β -偏态拉普拉斯分布形式,并研究了它的一些相关分布。本文还研究了该分布的矩、分布性质和一些扩展。最后,通过数据拟合实验,将赤池信息准则(Akaike Information Criterion, AIC)和贝叶斯信息准则(Bayesian Information Criterion, BIC)的值与其他相关分布的值进行比较,对所提出分布的适宜性和适宜性进行检验。使用似然比检验对嵌套模型进行区分。
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