Characterization of Bivariate Generalized Logistic Family of Distributions Through Conditional Specification

Indranil Ghosh () and N. Balakrishnan ()
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Indranil Ghosh: University of North Carolina
N. Balakrishnan: McMaster University

Sankhya B: The Indian Journal of Statistics, 2017, vol. 79, issue 1, No 9, 170-186

Abstract: Abstract The univariate logistic distribution and its properties and applications have been studied quite extensively in the literature. Some generalizations as well as multivariate extensions of it have also been proposed for greater flexibility in modeling univariate and multivariate data. In this paper, we construct three different types of generalized bivariate logistic type distributions through conditional specification, and discuss some of their properties. Finally, we use a data set to fit the proposed models for the purpose of illustration.

Keywords: Generalized logistic distributions; Generalized bivariate logistic distributions; Conditional specification; TP2 property; Unimodality; Likelihood inference; Primary: 62E; Secondary: 62F (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1007/s13571-016-0123-9

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