Bivariate Unit-Weibull Distribution: Properties and Inference

被引：0
|
作者：
Tovar-Falon, Roger [1 ]
Martinez-Florez, Guillermo [1 ]
Paez-Martinez, Luis [1 ]
机构：
[1] Univ Cordoba, Fac Ciencias Basicas, Dept Matemat & Estadist, Monteria 230002, Colombia
来源：
MATHEMATICS | 2023年 / 11卷 / 17期
关键词：
bivariate probability distribution; distribution for bounded data; proportion data; two-step estimation; copula; REGRESSION-MODEL; BETA REGRESSION; LINDLEY DISTRIBUTION; RATES;
D O I：
10.3390/math11173760
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, we introduce a novel bivariate probability distribution that is absolutely continuous. Considering the Farlie-Gumbel-Morgenstern (FGM) copula and the unit-Weibull distribution, we can obtain a bivariate unit-Weibull distribution. We evaluate the main properties of the new proposal and use two estimation methods to estimate the parameter for the bivariate probability distribution. A brief Monte Carlo simulation study is conducted to assess the behavior of the employed estimation method and the characteristics of the estimators. Ultimately, as an illustration, a real-life application is presented, demonstrating the utility of the proposal.
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页数：19
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