Identification of probability measures via distribution of quotients

DOI10.1016/S0378-3758(97)00035-9zbMath0886.62058OpenAlexW1977015623MaRDI QIDQ1372422

Mohammad Ahsanullah, Paweł Jerzy Szabłowski, Jacek Wesołowski

Publication date: 10 May 1998

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0378-3758(97)00035-9

zbMATH Keywords

normalitycharacterizationelliptically contoured distributionquotientsbivariate Cauchy distributionbivariate symmetric second kind beta distributionreflected generalized gamma distribution

Mathematics Subject Classification ID

Characterization and structure theory for multivariate probability distributions; copulas (62H05) Characterization and structure theory of statistical distributions (62E10)

Cites Work

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• Isotropy and sphericity: Some characterisations of the normal distribution
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• On characterizing the gamma and the normal distribution
• AN EXAMPLE OF A NONNORMAL DISTRIBUTION WHERE THE QUOTIENT FOLLOWS THE CAUCHY LAW
• On the Laws of Cauchy and Gauss
• On a Class of Distribution Functions Where the Quotient Follows the Cauchy Law
• On random variables whose quotient follows the Cauchy law
• A characterization of the bivariate elliptically contoured distribution
• A Characterization of the Normal and Weibull Distributions

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