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

DOI10.1016/J.STAMET.2013.02.002zbMath1486.62156OpenAlexW2317344848MaRDI QIDQ1756186

Nitis Mukhopadhyay, Mun S. Son

Publication date: 14 January 2019

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

Full work available at URL: https://doi.org/10.1016/j.stamet.2013.02.002

zbMATH Keywords

normal distributionlognormal distributionsymmetric distributionmultivariate normaldiscrete distributioncontinuous distributionbivariate \(t\) distribution

Mathematics Subject Classification ID

Multivariate distribution of statistics (62H10)

Related Items (1)

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

Cites Work

• The multivariate normal distribution
• When Finiteness Matters: Counterexamples to Notions of Covariance, Correlation, and Independence
• Linear Statistical Inference and its Applications
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