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Perfect sampling is a technique that uses coupling arguments to provide a sample from the stationary distribution of a Markov chain in a nite time without ever computing the distribution.
We consider Hidden Markov Chains obtained by passing a Markov Chain with rare transitions through a noisy memoryless channel. We obtain asymptotic estimates for the entropy of the resulting Hidden Mar...
Stemmed from the derivation of the optimal control to a stochastic linearquadratic control problem with Markov jumps, we study one kind of backward stochastic differential equations (BSDEs) that the g...
Let X be a continuous-time Markov chain in a finite set I, let h be a mapping of I onto another set, and let Y be defined by Yt = h(Xt), (t ≥ 0). We address the filtering problem for X in terms of th...
For an indecomposable 3×3 stochastic matrix (i.e., 1-step transition probability matrix) with coinciding negative eigenvalues, a new necessary and sufficient condition of the imbedding problem for tim...

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