Existence of extensions and product extensions for discrete probability distributions (Q1098477)
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scientific article; zbMATH DE number 4038897
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence of extensions and product extensions for discrete probability distributions |
scientific article; zbMATH DE number 4038897 |
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Existence of extensions and product extensions for discrete probability distributions (English)
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1988
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The author considers the question of existence of joint distributions of multivariate `attributes' when certain consistent systems of marginal distributions are given. The main result characterizes the possibility of a construction by the acyclic structure of the marginal system. The investigation in this paper is closely related to a paper of \textit{N. N. Vorob'ev}, Teor. Veroyatn. Primen. 7, 153-169 (1962); English translation in Theor. Probab. Appl. 7, 147-163 (1962), where the question formulated above is completely solved.
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maximum entropy extension
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existence of joint distributions
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consistent systems of marginal distributions
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