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Limit theory for some positive, stationary processes with infinite mean

Aaronson, J and Zweimüller, R (2010) Limit theory for some positive, stationary processes with infinite mean

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Abstract

We prove distributional limit theorems and one-sided laws of the iterated logarithm for a class of positive, mixing, stationary, stochastic processes which contains those obtained from non-integrable observables over certain piecewise expanding maps. This is done by extending Darling-Kac theory to a suitable family of infinite measure preserving transformations.

Item Type: Article
Authors :
NameEmailORCID
Aaronson, JUNSPECIFIEDUNSPECIFIED
Zweimüller, RUNSPECIFIEDUNSPECIFIED
Date : 23 August 2010
Uncontrolled Keywords : math.DS, math.DS, math.PR, 60F 37A40, 60G10
Related URLs :
Depositing User : Symplectic Elements
Date Deposited : 17 May 2017 11:59
Last Modified : 17 May 2017 11:59
URI: http://epubs.surrey.ac.uk/id/eprint/833558

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