A short proof of Motoo's combinatorial central limit theorem using Stein's method
type: Item
instance of: scholarly article
title: A short proof of Motoo's combinatorial central limit theorem using Stein's method
zbMATH Open document ID: 0629.60025
DOI: 10.1007/BF00322021
publication date: 1988-01-01T00:00:00Z
review text: A new proof of Motoo's combinatorial central limit theorem [\textit{M. Motoo}, Ann. Inst. Stat. Math. 8, 145-154 (1957; Zbl 0084.138)] is given using a method of \textit{Ch. Stein} [Proc. 6th Berkeley Sympos. math. Statist. Probab., Univ. Calif. 1970, 2, 583-602 (1972; Zbl 0278.60026) and a combinatorial method of \textit{E. Bolthausen} [Z. Wahrscheinlichkeitstheor. Verw. Geb. 66, 379-386 (1984; Zbl 0563.60026)]. This proof is shorter than Motoo's and other well-known proofs [e.g.: \textit{J. Hajek}, Ann. Math. Stat. 32, 506-623 (1961; Zbl 0107.134)].
Mathematics Subject Classification ID: 60F05
zbMATH DE Number: 4024398
zbMATH Keywords: combinatorial central limit theorem
author: Walter Schneller
MaRDI profile type: Publication
cites work: An estimate of the remainder in a combinatorial central limit theorem
cites work: Two central limit problems for dependent random variables
cites work: Some Extensions of the Wald-Wolfowitz-Noether Theorem
cites work: An \(L_p\) bound for the remainder in a combinatorial central limit theorem
cites work: A Combinatorial Central Limit Theorem
cites work: On the Hoeffding's combinatorial central limit theorem
published in: Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
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description: scientific article; zbMATH DE number 4024398