On the Existence of Probability Distributions with Given Marginals

F. Mauch

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On the Existence of Probability Distributions with Given Marginals

机译：给定边际概率分布的存在性

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Let X={0,..., n-1}nd Γ={(x_1,..., x_s)} ∈ X~s:Σ_(σ=1)~s x_σ=n-1. For the marginals of probability distributions on Γ with the additional property of forming an s-tuple of decreasing probabilities on X a simple characterization is given. This has an interesting application to asymptotic spectra in the sense of Strassen [J. Reine Angew. Math., 384 (1988), pp. 102--152; 413 (1991), pp. 127--180]. Some correlated questions are discussed in an appendix.

机译：令X = {0，...，n-1 } ndΓ= {（x_1，...，x_s）}∈X〜s：Σ_（σ= 1）〜sx_σ= n-1。对于在Γ上的概率分布的边际具有在X上形成递减概率的s元组的附加属性，给出了一个简单的表征。这在Strassen的意义上对于渐近谱具有有趣的应用[J.雷尼·安格（Reine Angew）。 Math。，384（1988），第102--152页; 413（1991），第127--180页]。附录中讨论了一些相关的问题。

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《Theory of probability and its applications》 |2003年第3期|共8页
作者
F. Mauch;
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正文语种 eng
中图分类高等数学;
关键词
probability law; marginal distribution; asymptotic spectra in the sense of Strassen;

机译：概率定律;边际分布;Strassen意义上的渐近谱;

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On the Existence of Probability Distributions with Given Marginals

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