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Представления упорядоченных случайных величин в виде сумм или произведений независимых величин

Представления упорядоченных случайных величин в виде сумм или произведений независимых величин

Abstract

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.

Keywords

ПОРЯДКОВЫЕ СТАТИСТИКИ,РЕКОРДНЫЕ ВЕЛИЧИНЫ,ЭКСПОНЕНЦИАЛЬНОЕ РАСПРЕДЕЛЕНИЕ,РАВНОМЕРНОЕ РАСПРЕДЕЛЕНИЕ,ORDERED RANDOM VARIABLES,ORDER STATISTICS,RECORD VALUES,EXPONENTIAL DISTRIBUTION,UNIFORM DISTRIBUTION

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
gold