Bivariate Unit-Weibull Distribution: Properties and Inference

Autor:	Roger Tovar-Falón, Guillermo Martínez-Flórez, Luis Páez-Martínez
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	bivariate probability distribution distribution for bounded data proportion data two-step estimation copula Mathematics QA1-939
Zdroj:	Mathematics, Vol 11, Iss 17, p 3760 (2023)
Druh dokumentu:	article
ISSN:	2227-7390
DOI:	10.3390/math11173760
Popis:	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.
Databáze:	Directory of Open Access Journals
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