On Kolmogorov-Smirnov type one-sample statistics
SUMMARY Asymptotic expansions with a term in n−½ of the distributions of Pyke's modified one-sample Kolmogorov-Smirnov statistics, C+n, C−n and Cn are derived. From these expansions and the already known ones for D+n, D−n, Dn, Vn = D+n + D−n and Kn = C+n + C−n are deduced expansions for the per...
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Veröffentlicht in: | Biometrika 1971-12, Vol.58 (3), p.653-656 |
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Hauptverfasser: | , |
Format: | Artikel |
Sprache: | eng |
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Zusammenfassung: | SUMMARY Asymptotic expansions with a term in n−½ of the distributions of Pyke's modified one-sample Kolmogorov-Smirnov statistics, C+n, C−n and Cn are derived. From these expansions and the already known ones for D+n, D−n, Dn, Vn = D+n + D−n and Kn = C+n + C−n are deduced expansions for the percentage points. The approximate percentage points determined by these expansions are sufficiently accurate to be used in applications. |
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ISSN: | 0006-3444 1464-3510 |
DOI: | 10.1093/biomet/58.3.653 |