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Reliability of Semi-Markov Systems with Asymptotic Merging Phase Space Read chapter Read first chapter

2010 | OriginalPaper | Chapter

18. On Generalized Tests of Fit for Multinomial Populations

Authors : Alex Karagrigoriou, Kyriacos Mattheou, Panayiotis Panayiotou

Published in: Mathematical and Statistical Models and Methods in Reliability

Publisher: Birkhäuser Boston

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Abstract

The aim of this work is the investigation of tests of fit for multinomial distributions based on the Φ-family of test statistics for goodness of fit (gof) tests [Mattheou and Karagrigoriou, Aust. New Zeal. J. Statist. 52(2), 187–200 (2010)]. For comparing the various goodness of fit tests the asymptotic distribution, which is known to be chi-square, [Cressie and Read, JRSSB, 5, 440–454 (1984); Zografos et al. Comm. Statist. Theor. Meth., 19(5), 1785–1802 (1990); Mattheou and Karagrigoriou, Australian and New Zealand Journal of Statistics 52(2), 187–200 (2010)] and the empirical distribution of all test statistics under investigation are obtained and at the same time the appropriate critical values are evaluated. For the comparison, samples from trinomial distributions are used and both the size and the power of each test for various alternative hypotheses are calculated.

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previous chapter Efficient Regression Estimation Under General Censoring and Truncation
next chapter Modeling and Scaling of Categorical Data
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Metadata
Title
On Generalized Tests of Fit for Multinomial Populations
Authors
Alex Karagrigoriou
Kyriacos Mattheou
Panayiotis Panayiotou
Copyright Year
2010
Publisher
Birkhäuser Boston
Book
Mathematical and Statistical Models and Methods in Reliability

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

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

Copyright Year: 2010

DOI
https://doi.org/10.1007/978-0-8176-4971-5_18