Sheffer polynomials for computing Takács's goodness-of-fit distributions
type: Item
instance of: scholarly article
title: Sheffer polynomials for computing Takács's goodness-of-fit distributions
zbMATH Open document ID: 0531.62012
author: Heinrich Niederhausen
published in: The Annals of Statistics
publication date: 1983-01-01T00:00:00Z
review text: Let \(F_ n(x)\) be the empirical distribution function based on n independent observations on some variable having a continuous distribution function F(x). The author deals with the distribution of the number of intersections between \(F_ n(x)+z/n\) and cF(x), \(c>0\), and related topics. He gives a new method to derive some results earlier obtained by \textit{L. Takács}, J. Appl. Probab. 8, 321-330 (1971; Zbl 0222.62021) and Ann. Math. Stat. 42, 1157-1166 (1971; Zbl 0224.62020).
Mathematics Subject Classification ID: 62E15
zbMATH DE Number: 3842960
zbMATH Keywords: Sheffer polynomials
zbMATH Keywords: Takács goodness-of-fit distributions
zbMATH Keywords: empirical distribution
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1214/aos/1176346165
OpenAlex ID: W1985393592
DOI: 10.1214/AOS/1176346165
description: scientific article; zbMATH DE number 3842960