This article is cited in 7 papers

Extremal estimates of probability measures and their combinatorial nature

A. F. Sidorenko


Abstract: The problem of finding an extremal estimate of the probability of some event under restrictions on the probabilities of other events is investigated, and it is proved to be equivalent to combinatorial problems on monotone classes of $l$-graphs. New probability inequalities are obtained as specific results.
Bibliography: 22 titles.

UDC: 519.2+519.1

MSC: Primary 05C65, 60E15; Secondary 05C15, 05C35, 46B20, 46C05, 60G50, 62D05

Received: 03.03.1981

 English version: Mathematics of the USSR-Izvestiya, 1983, 20:3, 503–533

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