High Quality Content by WIKIPEDIA articles! In mathematics, the Paley–Zygmund inequality bounds the probability that a positive random variable is small, in terms of its mean and variance (i.e., its first two moments). The inequality was proved by Raymond Paley and Antoni Zygmund.Obviously, the first addend is at most theta operatorname{E}(Z). The second one is at mostThe right-hand side of the Paley–Zygmund inequality can be written asThe one-sided Chebyshev inequality gives a slightly better bound:The latter is sharp.

Данное издание не является оригинальным. Книга печатается по технологии принт-он-деманд после получения заказа.