On some counter examples of the bivariate and multivariate normal distributions: A brief survey

DOI10.1080/03610926.2020.1828466OpenAlexW3092590213MaRDI QIDQ5092717

Indranil Ghosh, Gholamhossein G. Hamedani

Publication date: 22 July 2022

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610926.2020.1828466

zbMATH Keywords

counterexamplesclassical bivariate and multivariate normal distributionnonstandard bivariate and multivariate normal distributions

Mathematics Subject Classification ID

Statistics (62-XX)

Cites Work

• A non-Gaussian multivariate distribution with all lower-dimensional Gaussians and related families
• Conditional distributions and the bivariate normal distribution
• A characterization of multivariate normality through univariate projections
• On properties of sub-independent random variables
• Probability theory. Translated from the German by Robert B. Burckel
• Conditional specification of statistical models.
• Continuous Bivariate Distributions
• A note on the bivariate normal distribution
• On the Determination of the Bivariate Normal Distribution from Distributions of Linear Combinations of the Variables
• Bivariate and multivariate normal characterizations: a brief survey
• A Few Counter Examples Useful in Teaching Central Limit Theorems
• Uniform Correlation Mixture of Bivariate Normal Distributions and Hypercubically Contoured Densities That Are Marginally Normal
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