2002Acta Scicentiarum Naturalum Universitis PekinesisRequires access

Three Patterns of Conditional Independenceand Their Mutual Relationships

Zhi Guang Geng

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Abstract

Three patterns of the conditional independence are presented,and their mutual relationships among the three conditional independences are proved.The main results include that strong conditional independence can derive regress conditional independence and that regress conditional independence is equivalent to the random conditional independence.

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Three patterns of the conditional independence are presented,and their mutual relationships among the three conditional independences are proved.The main results include that strong conditional independence can derive regress conditional independence and that regress conditional independence is equivalent to the random conditional independence.

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Available abstract

Three patterns of the conditional independence are presented,and their mutual relationships among the three conditional independences are proved.The main results include that strong conditional independence can derive regress conditional independence and that regress conditional independence is equivalent to the random conditional independence.

Key concepts: Conditional independence, Independence (probability theory), Conditional probability, Regular conditional probability, Mathematics, Conditional variance, Conditional expectation, Econometrics

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