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Use of Graphical Methods in The Diagnostic Of Parametric Probability Distributions for Bivariate Lifetime Data in Presence of Censored Data
Volume 17, Issue 3 (2019), pp. 445–480
Jorge Alberto Achcar   Jose Rafael Tovar Cuevas   Fernando A. Moala  

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https://doi.org/10.6339/JDS.201907_17(3).0001
Pub. online: 4 August 2022      Type: Research Article      Open accessOpen Access

Published
4 August 2022

Abstract

The choice of an appropriate bivariate parametrical probability distribution for pairs of lifetime data in presence of censored observations usually is not a simple task in many applications. Each existing bivariate lifetime probability distribution proposed in the literature has different dependence structure. Commonly existing classical or Bayesian discrimination methods could be used to discriminate the best among different proposed distributions, but these techniques could not be appropriate to say that we have good fit of some particular model to the data set. In this paper, we explore a recent dependence measure for bivariate data introduced in the literature to propose a graphical and simple criterion to choose an appropriate bivariate lifetime distribution for data in presence of censored data.

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Keywords
bivariate lifetime Bayesian approach censoring data copula functions diagnostic discrimination methods

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Journal of data science

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