Abstract

We present some counterexamples of the classical and non-classical bivariate and multivariate normal distributions to widen our knowledge of these distributions. We hope that this paper will provide practitioners and users of bivariate and multivariate normal distributions of better view on the necessary and sufficient conditions leading to bivariate and multivariate normal distributions regarding marginal and or conditional distributions information.

中文翻译：

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关于双变量和多变量正态分布的一些反例：简要调查

摘要

我们提出了一些经典和非经典二元和多元正态分布的反例，以拓宽我们对这些分布的了解。我们希望本文将为二元和多元正态分布的从业者和用户提供更好的观点，以更好地了解导致关于边际和/或条件分布信息的二元和多元正态分布的必要和充分条件。