A  Reparameterized Weighted Lindley Distribution:  Properties, Estimation and  Applications

Mota, Ali; Ramos, Pedro Luiz; Ferreira, Paulo H.; Tomazella, Vera; Louzada, Francisco

doi:10.15446/rce.v44n1.86566

Cited by 4 publications

(1 citation statement)

References 36 publications

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“…Maurya et al [27] analyzed survival times' data via a new three-parameter Lindley distribution formulated following the work of Cordeiro and De Castro [28]. Mota et al [29] discussed mathematical properties of a reparameterized version of the weighted Lindley that can be used for data with bathtub-shaped or increasing hazard rate function distribution. Rather and Özel [30] propose a new weighted power Lindley distribution for modeling lifetime data.…”

Section: Introductionmentioning

confidence: 99%

On Statistical Properties of a New Bivariate Modified Lindley Distribution with an Application to Financial Data

Elhassanein

2022

Complexity

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There is an increasing interest in expanding the one-parameter Lindley distribution to two-parameter, three-parameter, and five-parameter. The univariate one-parameter Lindley distribution is still one of the most applicable distributions in data analysis especially in lifetime data. Modeling dependent random quantities required bivariate parametric probability distributions. This study presents a new bivariate three-parameter probability distribution called bivariate modified Lindley distribution. The one-parameter modified Lindley distribution is used as a base line to construct the new model. Its statistical properties including cumulative function, density function, marginals, moments, conditional distributions, and copula are discussed. Simulation is constructed to declare theoretical properties, to show the flexibility of the new model and to investigate the goodness of fit. Two sets of real data, financial data and UEFA Champion’s League data, are used to show the applicability of the proposed model for different types of data.

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