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Title: The stationary probability density of a class of bounded Markov processes
Authors: Ramli, M.A.
Leng, G. 
Keywords: Bounded Markov process
General state space
Markov operator
Stationary density
Issue Date: Dec-2010
Source: Ramli, M.A., Leng, G. (2010-12). The stationary probability density of a class of bounded Markov processes. Advances in Applied Probability 42 (4) : 986-993. ScholarBank@NUS Repository.
Abstract: In this paper we generalize a bounded Markov process, described by Stoyanov and Pacheco-Gonźlez 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. © Applied Probability Trust 2010.
Source Title: Advances in Applied Probability
ISSN: 00018678
DOI: aap/1293113147
Appears in Collections:Staff Publications

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