Ergodicity of a bounded Markov chain with attractiveness towards the centre

Carlos G. Pacheco-González

Statistics & Probability Letters, 2009, vol. 79, issue 20, 2177-2181

Abstract: We analyse a Markov chain that models a process confined to a bounded interval, with the additional property that the process is constantly attracted to the centre of the interval. We study ergodic properties of the chain, and we find the limiting distribution for a specific construction using the beta distribution.

Date: 2009
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