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Smooth goodness of fit tests for categorised composite null hypotheses. (English) Zbl 0716.62046

Summary: We construct a class of smooth goodness of fit tests of a composite multinomial null hypothesis. This class includes the Pearson-Fisher \(X^ 2\) test and its components, composite extensions of J. C. W. Rayner’s [ibid. 6, No.4, 257-261 (1988; Zbl 0664.62041)] overlapping tests and cell focusing tests. Simulations are given for a Poisson null.

MSC:

62G10 Nonparametric hypothesis testing

Citations:

Zbl 0664.62041
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References:

[1] Andrews, D. F.; Herzberg, A. M., Data (1985), Springer: Springer New York
[2] Best, D. J.; Rayner, J. C.W., Partitioning the equiprobable \(X^2\) statistic for testing uniformity, New Zealand Statistician, 17, 1, 29-33 (1982)
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[9] Rayner, J. C.W.; Best, D. J.; Dodds, K. G., The construction of the simple \(X^2\) and Neyman smooth goodness of fit tests, Statist. Neerlandica, 39, 35-40 (1985) · Zbl 0592.62034
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