Bounding the Stochastic Performance of Continuum Structure Functions I.
STATE UNIV OF NEW YORK AT STONY BROOK DEPT OF APPLIED MATHEMATICS AND STATISTICS
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A continuum structure function gamma is a nondecreasing mapping from the unit hypercube to the unit interval. Minimal path cut sets of upper lower simple continuum structure functions are introduced and are used to determine bounds on the distribution of gamma X when X is a vector of associated random variables and when is right left-continuous. It is shown that, if gamma admits of a modular decomposition, improved bounds may be obtained. Author
- Statistics and Probability