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Построение оценок параметров асинхронного дважды стохастического потока событий с инициированием лишнего события и продлевающимся мертвым временем

Построение оценок параметров асинхронного дважды стохастического потока событий с инициированием лишнего события и продлевающимся мертвым временем

Abstract

The asynchronous alternating double stochastic event flow with extra event initiation at prolonging dead time is investigated. The Laplace transformation of probabilities density of an interval between neighbor events of an observable flow is found. The equations for unknown parameters and dead time duration are constructed. The results of statistical experiment realized on the simulation model are given.

Рассмотрен асинхронный альтернирующий дважды стохастический поток событий с продлевающимся мертвым временем, порождаемый случайным процессом с двумя состояниями. Получена формула для преобразования Лапласа плотности вероятностей интервала между соседними событиями в наблюдаемом потоке. Приведены численные результаты, полученные постановкой статистического эксперимента.

Keywords

ПОТОК СОБЫТИЙ, СЛУЧАЙНЫЙ ПРОЦЕСС, ПРЕОБРАЗОВАНИЕ ЛАПЛАСА, ОЦЕНКИ, ОЦЕНИВАНИЕ, ДЛИТЕЛЬНОСТЬ МЕРТВОГО ВРЕМЕНИ, СТАТИСТИЧЕСКИЙ ЭКСПЕРИМЕНТ

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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