广义逆威布尔分布的加权形式

Q3 Mathematics

Journal of Modern Applied Statistical Methods Pub Date : 2019-04-17 DOI:10.22237/JMASM/1555506264

Sofi Mudiasir, S. P. Ahmad

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引用次数: 3

摘要

加权分布在很多领域都有应用，比如医学、生态学和可靠性。提出了广义逆威布尔分布的一种加权形式，即加权广义逆威布尔分布(WGIWD)。研究了模型的基本性质，包括模态、矩、矩生成函数、偏度、峰度和香农熵。通过将新模型应用于实际数据集，证明了它的实用性。与长度偏置广义逆威布尔(LGIW)、广义逆威布尔(GIW)、逆威布尔(IW)和逆指数分布(IE)等子模型相比，WGIWD的拟合效果更好。

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Weighted Version of Generalized Inverse Weibull Distribution

Weighted distributions are used in many fields, such as medicine, ecology, and reliability. A weighted version of the generalized inverse Weibull distribution, known as weighted generalized inverse Weibull distribution (WGIWD), is proposed. Basic properties including mode, moments, moment generating function, skewness, kurtosis, and Shannon’s entropy are studied. The usefulness of the new model was demonstrated by applying it to a real-life data set. The WGIWD fits better than its submodels, such as length biased generalized inverse Weibull (LGIW), generalized inverse Weibull (GIW), inverse Weibull (IW) and inverse exponential (IE) distributions.

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来源期刊

Journal of Modern Applied Statistical Methods STATISTICS & PROBABILITY-

CiteScore

0.50

自引率

0.00%

发文量

期刊介绍： The Journal of Modern Applied Statistical Methods is an independent, peer-reviewed, open access journal designed to provide an outlet for the scholarly works of applied nonparametric or parametric statisticians, data analysts, researchers, classical or modern psychometricians, and quantitative or qualitative methodologists/evaluators.