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Titlebook: Stochastic Differential Systems, Stochastic Control Theory and Applications; Proceedings of a Wor Wendell Fleming,Pierre-Louis Lions Confer

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,Non-Linear Filtering — The Degenerate Case,We consider the non-linear filtering problem where the state (or signal) satisfies . and the observation satisfies
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https://doi.org/10.1007/978-1-4613-8762-6Markov chain; Markov decision process; Markov process; Parameter; Vari; algorithms; diffusion process; filt
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Control of Markov Chains with Long-Run Average Cost Criterion, strategies which are optimal in the appropriate sense is established and these are characterized via the dynamic programming equations. The approach here differs from the conventional approach via the discounted cost problem and covers situations not covered by the latter.
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Some Results on Kolmogoroff Equations for Infinite Dimensional Stochastic Systems,pace ., . is a smooth function from . to ., .. is a .-valued Brownian motion in a probability space (Ω, ε, .) and . is another Hilbert space. Finally .: .(.) ⊂ . → .(.; .) is a linear operator (generally unbounded) from . into .(.; .). . is a positive nuclear operator in . such that .(..) = ..
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