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Оценка параметров вероятностной модели по экспериментальным данным

Оценка параметров вероятностной модели по экспериментальным данным

Abstract

Рассмотрены некоторые законы распределения непрерывных случайных величин. Получены уравнения для оценки параметров, входящих в распределение, методами максимального правдоподобия и методом моментов. Предложены подходы к решению полученных уравнений. Предложенная методика опробована на конкретных примерах.Distributions of continuous random variables are in the focus. The maximum likelihood method and the method of moments to get equations for estimating the distribution parameters are used. Equations solving methods are given. The proposed technique is tested on specific examples.

Keywords

«ЗАКОН РАСПРЕДЕЛЕНИЯ НЕПРЕРЫВНОЙ СЛУЧАЙНОЙ ВЕЛИЧИНЫ», «ГАММА-РАСПРЕДЕЛЕНИЕ», «РАСПРЕДЕЛЕНИЕ ХИ-КВАДРАТ», «ПОКАЗАТЕЛЬНОЕ РАСПРЕДЕЛЕНИЕ», «РАСПРЕДЕЛЕНИЕ ВЕЙБУЛЛА», «РАСПРЕДЕЛЕНИЕ МАКСВЕЛЛА», «МЕТОД МАКСИМАЛЬНОГО ПРАВДОПОДОБИЯ», «МЕТОД МОМЕНТОВ»

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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