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We consider a random walk on a path with n nodes, with symmetric transition probabilities, i.e., the probability of making a transition between node i and node i+1 is the same as making a transition f...
This paper gives sharp rates of convergence to stationarity for a Markov chain generating Bose-Einstein configurations of n balls in k boxes. The analysis leads to curious identities for the arc...
We consider the problem of assigning transition probabilities to the edges of a path, so the resulting Markov chain or random walk mixes as rapidly as possible. In this note we prove that fastest mixi...
In this paper we consider a discrete time risk process with a Markov chain interest model. We derive recursive equations satisfied respectively by the joint distribution of surplus immediately before ...
Abstract: We consider the almost semi-continuous processes defined on a finite Markov chain. The representation of the moment generating functions for the absolute maximum after achievement positive l...
In this paper, we introduce the notion of efficiency (consistency) and examine some asymptotic properties ofMarkov chain Monte Carlo methods. We apply these results to the Gibbs sampler for independen...
The Markov chain is a probabilistic model used with stochastic processes in many branches of science such as meteorology and hydrology. This model is utilized to evaluate persistence and allows the us...

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