Proschan, Michael A note on Blackwell and Hodges (1957) and Diaconis and Graham (1981). (English) Zbl 0747.62021 Ann. Stat. 19, No. 2, 1106-1108 (1991). Summary: The papers of D. Blackwell and J. L. Hodges jun. [Ann. Math. Stat. 28, 449–460 (1957; Zbl 0081.36403)] and P. Diaconis and R. Graham [Ann. Stat. 9, 3–23 (1981; Zbl 0478.62064)] contain an error concerning the asymptotic distribution of the number of returns to the origin of a constrained random walk. The correct distribution is given. Cited in 3 Documents MSC: 62E20 Asymptotic distribution theory in statistics 62P10 Applications of statistics to biology and medical sciences; meta analysis 60C05 Combinatorial probability Keywords:random allocation; selection bias; number of returns; constrained random walk Citations:Zbl 0081.36403; Zbl 0478.62064 PDF BibTeX XML Cite \textit{M. Proschan}, Ann. Stat. 19, No. 2, 1106--1108 (1991; Zbl 0747.62021) Full Text: DOI