Sheffer polynomials for computing Takács's goodness-of-fit distributions
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).
scientific article; zbMATH DE number 3842960