Bivariate Discrete Odd Generalized Exponential Generator of Distributions for Count Data: Copula Technique, Mathematical Theory, and Applications

Autor:	Laila A. Al-Essa, Mohamed S. Eliwa, Hend S. Shahen, Amal A. Khalil, Hana N. Alqifari, Mahmoud El-Morshedy
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	copula technique bivariate discrete distributions failure analysis conditional expectation simulation maximum likelihood estimators Mathematics QA1-939
Zdroj:	Axioms, Vol 12, Iss 6, p 534 (2023)
Druh dokumentu:	article
ISSN:	12060534 2075-1680
DOI:	10.3390/axioms12060534
Popis:	In this article, a new family of bivariate discrete distributions is proposed based on the copula concept, in the so-called bivariate discrete odd generalized exponential-G family. Some distributional properties, including the joint probability mass function, joint survival function, joint failure rate function, median correlation coefficient, and conditional expectation, are derived. After proposing the general class, one special model of the new bivariate family is discussed in detail. The maximum likelihood approach is utilized to estimate the family parameters. A detailed simulation study is carried out to examine the bias and mean square error of maximum likelihood estimators. Finally, the importance of the new bivariate family is explained by means of two distinctive real data sets in various fields.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/94313934b066439081cb976fc8518155 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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