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Интервальная оценка параметров бета-распределения при определении доверительной трудоемкости алгоритмов

Интервальная оценка параметров бета-распределения при определении доверительной трудоемкости алгоритмов

Abstract

article classical methods of definition of labour input of algorithms are considered and necessity of estimation by criterion of reliable labour input is proved. The given technique of definition of reliable labour input consists in approximation of distribution of frequencies observed in experiment by the known law of distribution. Within the limits of this technique there is a problem of definition of parameters of distribution, and their reliable intervals. It is shown that the error caused by use of dot estimations at definition of parameters of beta distribution isn't significant.

Рассматриваются классические методы определения трудоемкости алгоритмов и обосновывается необходимость оценки по критерию доверительной трудоемкости. Данная методика определения доверительной трудоёмкости состоит в аппроксимации наблюдаемого в эксперименте распределения частот известным законом распределения. В рамках этой методики возникает задача определения параметров распределения, и их доверительных интервалов. Показано, что погрешность, обусловленная использованием точечных оценок при определении параметров бета-распределения, не является значимой.

Keywords

ТРУДОЕМКОСТЬ АЛГОРИТМА, ДОВЕРИТЕЛЬНАЯ ТРУДОЕМКОСТЬ, БЕТА-РАСПРЕДЕЛЕНИЕ, ИНТЕРВАЛЬНАЯ ОЦЕНКА

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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