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关于无限可分点过程的一则札记AI 解读

Summary In the discussion of Cliff and Ord (1975), Westcott mentioned the problem of determining those point processes which are both doubly stochastic Poisson processes and Poisson cluster processes—the dual nature is of interest in model interpretation since the underlying mechanisms are radically different. This was related to the question of which doubly stochastic Poisson processes are infinitely divisible, and it was conjectured that this occurs if and only if the…

关于二次型的分布AI 解读

This note improves a necessary and sufficient condition given by Good (1969) for a quadratic form X'AX, where X has a multinormal distribution with mean vector O, to have a χ2 distribution with r degrees of freedom.

关于二次型的分布AI 解读

This note improves a necessary and sufficient condition given by Good (1969) for a quadratic form X'AX, where X has a multinormal distribution with mean vector O, to have a χ2 distribution with r degrees of freedom.

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关于 Khatri 二次型结果的若干说明AI 解读

This note simplifies a necessary and sufficient condition given by Khatri (1963) for a quadratic form x1Ax to be a x2 variate when x has a multivariate normal distribution with zero mean.

Summary A correction is made to a paper by Good (1963) on the independence of quadratic forms.