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The stationary probability density of a class of bounded Markov processes
Published online by Cambridge University Press: 01 July 2016
Abstract
In this paper we generalize a bounded Markov process, described by Stoyanov and Pacheco-González for a class of transition probability functions. A recursive integral equation for the probability density of these bounded Markov processes is derived and the stationary probability density is obtained by solving an equivalent differential equation. Examples of stationary densities for different transition probability functions are given and an application for designing a robotic coverage algorithm with specific emphasis on particular regions is discussed.
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- General Applied Probability
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- Copyright © Applied Probability Trust 2010
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