Sheffer polynomials for computing exact Kolmogorov-Smirnov and Renyi type distributions

DOI10.1214/aos/1176345574zbMath0494.62019OpenAlexW1979797269MaRDI QIDQ1169213

Heinrich Niederhausen

Publication date: 1981

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aos/1176345574

zbMATH Keywords

algorithmsorder statisticsdifference equationsSheffer polynomialstwo-sided testsrepresentation theoremsfinite operator calculusSheffer sequencesempirical distributionrecursionsKolmogorov-Smirnov statisticsclosed formsRenyi type distributions

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Exact distribution theory in statistics (62E15) Order statistics; empirical distribution functions (62G30) Exact enumeration problems, generating functions (05A15) Numerical solutions to stochastic differential and integral equations (65C30)

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