Independent ratios \(X/Z\), \(Y/Z\) when \(X\), \(Y\) are (in)dependent but \((X,Y)\), \(Z\) are dependent

DOI10.1016/J.STAMET.2014.01.001zbMath1486.62155OpenAlexW104719738MaRDI QIDQ1731203

Nitis Mukhopadhyay

Publication date: 13 March 2019

Published in: Statistical Methodology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.stamet.2014.01.001

zbMATH Keywords

exponential distributionnormal distributionscale familylocation-scale familyBasu's theorem

Mathematics Subject Classification ID

Multivariate distribution of statistics (62H10)

Cites Work

• Ratios \(X/Z\), \(Y/Z\) built from independent random variables \((X,Y)\) and \(Z\) may not always be dependent
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