Asymptotic Analysis of Symmetric Functions

F. Götze (), A. Naumov () and V. Ulyanov ()
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F. Götze: Bielefeld University
A. Naumov: Moscow State University
V. Ulyanov: Moscow State University

Journal of Theoretical Probability, 2017, vol. 30, issue 3, 876-897

Abstract: Abstract In this paper we consider asymptotic expansions for a class of sequences of symmetric functions of many variables. Applications to classical and free probability theory are discussed.

Keywords: Symmetric functions; Asymptotic expansions; Functional limit theorems; Edgeworth expansion; U-statistics; Invariance principle; 60F05; 60F17 (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1007/s10959-016-0679-3

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