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Erschienen in:
Reliability of Semi-Markov Systems with Asymptotic Merging Phase Space Kapitel lesen Erstes Kapitel lesen

2010 | OriginalPaper | Buchkapitel

32. Software System for Simulation and Research of Probabilistic Regularities and Statistical Data Analysis in Reliability and Quality Control

verfasst von : Ekaterina V. Chimitova, Boris Yu. Lemeshko, Stanislav B. Lemeshko, Sergey N. Postovalov, Andrey P. Rogozhnikov

Erschienen in: Mathematical and Statistical Models and Methods in Reliability

Verlag: Birkhäuser Boston

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Abstract

The computer approach to the investigation of estimation methods and statistical tests is considered as an effective technique for developing apparatus of applied mathematical statistics. It has been shown that basing on the considered approach and software system one can investigate statistical properties of estimates for distribution parameters including estimates by grouped and censored samples. The statistic distributions of nonparametric goodness-of-fit tests in testing composite hypotheses have been investigated. The statistic distributions and the power of χ2 goodness-of-fit tests have been investigated depending on the number of intervals and the grouping method. A number of tests for deviation from the normal distribution law have been investigated. Homogeneity tests (for testing hypotheses about equality of means, equality of variances and homogeneity of distributions) have been studied. Various classical tests have been investigated in case of non-normal distributions of observations.

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Vorheriges Kapitel Information Measures in Biostatistics and Reliability Engineering
Nächstes Kapitel Inverse Gaussian Model and Its Applications in Reliability and Survival Analysis
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Metadaten
Titel
Software System for Simulation and Research of Probabilistic Regularities and Statistical Data Analysis in Reliability and Quality Control
verfasst von
Ekaterina V. Chimitova
Boris Yu. Lemeshko
Stanislav B. Lemeshko
Sergey N. Postovalov
Andrey P. Rogozhnikov
Copyright-Jahr
2010
Verlag
Birkhäuser Boston
Buch
Mathematical and Statistical Models and Methods in Reliability

Print ISBN: 978-0-8176-4970-8

Electronic ISBN: 978-0-8176-4971-5

Copyright-Jahr: 2010

DOI
https://doi.org/10.1007/978-0-8176-4971-5_32

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