Invariance properties of the conditional independence relation (Q1064645)
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scientific article; zbMATH DE number 3921597
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Invariance properties of the conditional independence relation |
scientific article; zbMATH DE number 3921597 |
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Invariance properties of the conditional independence relation (English)
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1985
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Defining the notion of the conditional independence relation for a triple of \(\sigma\)-algebras, necessary and sufficient conditions are derived for certain operations on the independence relation. Two other problems of this work were to study the properties of a projection operator for \(\sigma\)-algebras, and to discuss the \(\sigma\)-algebraic realization problem.
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conditional independence relation
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independence relation
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projection operator
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realization problem
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