A BIVARIATE KUMARASWAMY-EXPONENTIAL DISTRIBUTION WITH APPLICATION
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Data
2019-10-01
Autores
Bakouch, Hassan S.
Moala, Fernando A. [UNESP]
Saboor, Abdus
Samad, Haniya
Título da Revista
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Editor
Walter De Gruyter Gmbh
Resumo
In this paper, we introduce a new bivariate Kumaraswamy exponential distribution, whose marginals are univariate Kumaraswamy exponential. Some probabilistic properties of this bivariate distribution are derived, such as joint density function, marginal density functions, conditional density functions, moments and stress-strength reliability. Also, we provide the expected information matrix with its elements in a closed form. Estimation of the parameters is investigated by the maximum likelihood, Bayesian and least squares estimation methods. A simulation study is carried out to compare the performance of the estimators by estimation methods. Further, one data set have been analyzed to show how the proposed distribution works in practice. (C) 2019 Mathematical Institute Slovak Academy of Sciences
Descrição
Palavras-chave
bivariate Kumaraswamy-exponential distribution, marginal and conditional density functions, moments, stress-strength, maximum likelihood, Fisher information matrix, Bayesian estimation
Como citar
Mathematica Slovaca. Berlin: Walter De Gruyter Gmbh, v. 69, n. 5, p. 1185-1212, 2019.