A central limit theorem for iterated random functions

A central limit theorem for iterated random functions

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Article ID: iaor2004682
Country: United States
Volume: 37
Issue: 3
Start Page Number: 748
End Page Number: 755
Publication Date: Sep 2000
Journal: Journal of Applied Probability
Authors: ,
Keywords: probability
Abstract:

A central limit theorem is established for additive functions of a Markov chain that can be constructed as an iterated random function. The result goes beyond earlier work by relaxing the continuity conditions imposed on the additive function, and by relaxing moment conditions related to the random function. It is illustrated by an application to a Markov chain related to fractals.

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