二元q扩展Weibull morgenstern族及其部分子模型的相关系数公式

IF 1.8 3区数学 Q1 MATHEMATICS

AIMS Mathematics Pub Date : 2023-01-01 DOI:10.3934/math.20231292

R. A. Attwa, T. Radwan, E. O. A. Zaid

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引用次数: 0

摘要

提出了一个柔性单变量族的二元扩展。新的分布族被称为二元q扩展Weibull Morgenstern分布族，它可以基于Farlie-Gumbel-Morgenstern (FGM) copula技术构造。在引入新族后，从理论和数值相关系数的角度详细讨论了四个子模型，并指出q参数的影响。

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Bivariate q-extended Weibull morgenstern family and correlation coefficient formulas for some of its sub-models

A bivariate extension of a flexible univariate family is proposed. The new family is called bivariate q-extended Weibull Morgenstern family of distributions which can be constructed based on the Farlie-Gumbel-Morgenstern (FGM) copula technique. After introducing the new family, four sub-models are discussed in detail from the theoretical and numerical coefficient of correlation point of view with pointing to the effect of the $ q $ parameter.

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来源期刊

AIMS Mathematics Mathematics-General Mathematics

CiteScore

3.40

自引率

13.60%

发文量

769

审稿时长

90 days

期刊介绍： AIMS Mathematics is an international Open Access journal devoted to publishing peer-reviewed, high quality, original papers in all fields of mathematics. We publish the following article types: original research articles, reviews, editorials, letters, and conference reports.