
Дан обзор имеющихся представлений, которые позволяют выразить такие зависимые упорядоченные величины, как порядковые статистики и рекорды, в виде сумм независимых слагаемых или произведений независимых случайных множителей. Получены некоторые новые соотношения подобного вида, которые таким же образом задают совместные распределения представителей этих двух типов упорядоченных случайных величин. Библиогр. 14 назв.
The review of the existing presentations, which allow to express such dependent ordered variables as order statistics and records as the sums of independent summands or as the products of independent random multipliers, is given. Some new relations of the analogous form, which express the common distributions of representatives of these two types of ordered random variables, are also obtained. Refs 14.
ПОРЯДКОВЫЕ СТАТИСТИКИ,РЕКОРДНЫЕ ВЕЛИЧИНЫ,ЭКСПОНЕНЦИАЛЬНОЕ РАСПРЕДЕЛЕНИЕ,РАВНОМЕРНОЕ РАСПРЕДЕЛЕНИЕ,ORDERED RANDOM VARIABLES,ORDER STATISTICS,RECORD VALUES,EXPONENTIAL DISTRIBUTION,UNIFORM DISTRIBUTION
ПОРЯДКОВЫЕ СТАТИСТИКИ,РЕКОРДНЫЕ ВЕЛИЧИНЫ,ЭКСПОНЕНЦИАЛЬНОЕ РАСПРЕДЕЛЕНИЕ,РАВНОМЕРНОЕ РАСПРЕДЕЛЕНИЕ,ORDERED RANDOM VARIABLES,ORDER STATISTICS,RECORD VALUES,EXPONENTIAL DISTRIBUTION,UNIFORM DISTRIBUTION
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