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
Hauptverfasser: MAAG, URS R., DICAIRE, GHISLAINE
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.
ISSN:0006-3444
1464-3510
DOI:10.1093/biomet/58.3.653