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Optimal Joint Distributions of Several Random Variables with Given Marginals
Author(s) -
Schay Geza
Publication year - 1979
Publication title -
studies in applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 46
eISSN - 1467-9590
pISSN - 0022-2526
DOI - 10.1002/sapm1979612179
Subject(s) - mathematics , joint (building) , invariant (physics) , joint probability distribution , boundary value problem , mathematical analysis , random variable , mathematical physics , statistics , architectural engineering , engineering
Solutions of a singularly perturbed vector boundary‐value problem are studied under the principle assumption that the trivial solution of the unperturbed equation is stable in certain senses. This is accomplished by constructing special invariant regions in which solutions display the kind of nonuniformity known as boundary‐layer behavior.