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New goodness-of-fit test statistics for discrete and grouped continuous data. (English) Zbl 1178.62048

Summary: Riedwyl-type test statistics for goodness-of-fit were introduced by H. Riedwyl [J. Am. Stat. Assoc. 62, 390–398 (1967)], and generalized by U. R. Maag, F. Streit and P. A. Drouilly [J. Am. Stat. Assoc. 68, 462–465 (1973; Zbl 0266.62030)]. In this paper these test statistics are extended for use in the case of discrete and grouped continuous data, with arbitrary grouping intervals. New Riedwyl-type test statistics are introduced, their distribution theory is discussed, and their power is compared with the power of the discrete Kolmogorov-Smirnov, Watson’s, Kuiper’s, and \(\chi^2\) test statistics. The new statistics are shown to have greater power for particular alternatives.

MSC:

62G10 Nonparametric hypothesis testing

Citations:

Zbl 0266.62030
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References:

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