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Published in:
1994 | OriginalPaper | Chapter
Stochastic Dependence and Functional Relationships
Author : Wassily Hoeffding
Published in: The Collected Works of Wassily Hoeffding
Publisher: Springer New York
Included in: Professional Book Archive
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§1. If a quantity α is to serve as a measure of the degree of relationship between two random variables X and Y, we will want to place three fundamental conditions on it, among others: I.α should lie between two fixed finite bounds (say 0 and 1).II.α should equal the lower bound if and only if X and Y are stochastically independent.III.α should equal the upper bound if and only if X and Y are functionally dependent.