A Local Limit Theorem for Stationary Processes in the Domain of Attraction of a Normal Distribution

Jon Aaronson; Manfred Denker

doi:10.1007/978-1-4612-0209-7_15

A Local Limit Theorem for Stationary Processes in the Domain of Attraction of a Normal Distribution

Jon Aaronson, Manfred Denker

School of Mathematical Sciences

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

In this chapter, we prove local limit theorems for Gibbs-Markov processes in the domain of attraction of normal distributions.

Original language	English
Title of host publication	Asymptotic Methods in Probability and Statistics with Applications
Editors	N. Balakrishnan, I. A. Ibragimov, V. B. Nevzorov
Place of Publication	Boston, MA
Publisher	Birkhäuser Boston
Pages	215-223
Number of pages	9
ISBN (Electronic)	978-1-4612-0209-7
ISBN (Print)	978-1-4612-0209-7
DOIs	https://doi.org/10.1007/978-1-4612-0209-7_15
State	Published - 2001

Publication series

Name	Statistics for Industry and Technology
Publisher	Birkhäuser, Boston, MA

Access to Document

10.1007/978-1-4612-0209-7_15

https://doi.org/10.1007/978-1-4612-0209-7_15

Cite this

Aaronson, J., & Denker, M. (2001). A Local Limit Theorem for Stationary Processes in the Domain of Attraction of a Normal Distribution. In N. Balakrishnan, I. A. Ibragimov, & V. B. Nevzorov (Eds.), Asymptotic Methods in Probability and Statistics with Applications (pp. 215-223). (Statistics for Industry and Technology). Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-0209-7_15

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Aaronson, J & Denker, M 2001, A Local Limit Theorem for Stationary Processes in the Domain of Attraction of a Normal Distribution. in N Balakrishnan, IA Ibragimov & VB Nevzorov (eds), Asymptotic Methods in Probability and Statistics with Applications. Statistics for Industry and Technology, Birkhäuser Boston, Boston, MA, pp. 215-223. https://doi.org/10.1007/978-1-4612-0209-7_15

A Local Limit Theorem for Stationary Processes in the Domain of Attraction of a Normal Distribution. / Aaronson, Jon; Denker, Manfred.

Asymptotic Methods in Probability and Statistics with Applications. ed. / N. Balakrishnan; I. A. Ibragimov; V. B. Nevzorov. Boston, MA : Birkhäuser Boston, 2001. p. 215-223 (Statistics for Industry and Technology).

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

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Aaronson J, Denker M. A Local Limit Theorem for Stationary Processes in the Domain of Attraction of a Normal Distribution. In Balakrishnan N, Ibragimov IA, Nevzorov VB, editors, Asymptotic Methods in Probability and Statistics with Applications. Boston, MA: Birkhäuser Boston. 2001. p. 215-223. (Statistics for Industry and Technology). doi: 10.1007/978-1-4612-0209-7_15

A Local Limit Theorem for Stationary Processes in the Domain of Attraction of a Normal Distribution

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