A. de Moivre theorem revisited
type: Item
instance of: scholarly article
title: A. de Moivre theorem revisited
zbMATH Open document ID: 1487.60059
published in: Statistics \& Probability Letters
publication date: 2022-01-24T00:00:00Z
review text: The main results of this paper are large deviations estimates (in the operator form) for functions in the Banach algebra of complex-valued Borel functions with bounded essential supremum norm. These are applied in particular to give a generalisation of a local limit theorem, due to de Moivre, for binary-valued Markov chains.
reviewed by: Fraser Daly
Mathematics Subject Classification ID: 60F10
Mathematics Subject Classification ID: 60F05
Mathematics Subject Classification ID: 60J10
zbMATH DE Number: 7462381
zbMATH Keywords: de Moivre theorem
zbMATH Keywords: large deviations
zbMATH Keywords: Cramér's series
zbMATH Keywords: transition probability function
zbMATH Keywords: Wallis' formula
zbMATH Keywords: Perron-Frobenius theorem
author: Zbigniew S. Szewczak
MaRDI profile type: Publication
full work available at URL: j.spl.2021.109260
OpenAlex ID: W3206508087
Wikidata QID: Q113863769
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DOI: 10.1016/J.SPL.2021.109260
description: scientific article; zbMATH DE number 7462381