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Additive Markov chain information


In probability theory, an additive Markov chain is a Markov chain with an additive conditional probability function. Here the process is a discrete-time Markov chain of order m and the transition probability to a state at the next time is a sum of functions, each depending on the next state and one of the m previous states.

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Additive Markov chain

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an additive Markov chain is a Markov chain with an additive conditional probability function. Here the process is a discrete-time Markov chain of order...

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List of things named after Andrey Markov

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Gauss–Markov theorem Gauss–Markov process Markov blanket Markov boundary Markov chain Markov chain central limit theorem Additive Markov chain Markov additive...

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List of statistics articles

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science Adapted process Adaptive estimator Additive Markov chain Additive model Additive smoothing Additive white Gaussian noise Adjusted Rand index –...

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Markov additive process

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In applied probability, a Markov additive process (MAP) is a bivariate Markov process where the future states depends only on one of the variables. The...

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Ergodicity

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counting measures. The Markov chain is ergodic, so the shift example from above is a special case of the criterion. Markov chains with recurring communicating...

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Markovian arrival process

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block matrix Q below is a transition rate matrix for a continuous-time Markov chain. Q = [ D 0 D 1 0 0 … 0 D 0 D 1 0 … 0 0 D 0 D 1 … ⋮ ⋮ ⋱ ⋱ ⋱ ] . {\displaystyle...

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Computational statistics

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methods, Markov chain Monte Carlo methods, local regression, kernel density estimation, artificial neural networks and generalized additive models. Though...

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Catalog of articles in probability theory

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Markov additive process Markov blanket / Bay Markov chain mixing time / (L:D) Markov decision process Markov information source Markov kernel Markov logic...

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Random walk

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) {\displaystyle O(a+b)} in the general one-dimensional random walk Markov chain. Some of the results mentioned above can be derived from properties of...

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Diffusion process

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theory and statistics, diffusion processes are a class of continuous-time Markov process with almost surely continuous sample paths. Diffusion process is...

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Outline of machine learning

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bioinformatics Margin Markov chain geostatistics Markov chain Monte Carlo (MCMC) Markov information source Markov logic network Markov model Markov random field...

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Siddhartha Chib

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Louis. His work is primarily in Bayesian statistics, econometrics, and Markov chain Monte Carlo methods. Key papers include Albert and Chib (1993) which...

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Fluid queue

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0)&{\text{ if }}X(t)=0.\end{cases}}} The operator is a continuous time Markov chain and is usually called the environment process, background process or...

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Autoregressive model

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distributed random variables Markov chain Moran process Random walk Loop-erased Self-avoiding Biased Maximal entropy Continuous time Additive process Bessel process...

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Particle filter

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Various other numerical methods based on fixed grid approximations, Markov Chain Monte Carlo techniques, conventional linearization, extended Kalman filters...

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Probabilistic logic

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in such a way as to maximize entropy, in analogy with the way that Markov chains assign probabilities to finite state machine transitions. Systems such...

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Probability measure

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events in a σ-algebra that satisfies measure properties such as countable additivity. The difference between a probability measure and the more general notion...

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Probability axioms

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}E_{i}\right)=\sum _{i=1}^{\infty }P(E_{i}).} Some authors consider merely finitely additive probability spaces, in which case one just needs an algebra of sets, rather...

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Daniel Revuz

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established a theory of one-to-one correspondence between positive Markov additive functionals and associated measures. This theory and the associated...

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Bart Kosko

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of values. He also showed that noise can speed up the convergence of Markov chains to equilibrium. Nonfiction Noise. Viking Press. 2006. ISBN 0-670-03495-9...

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Generalized linear model

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be approximated, usually using Laplace approximations or some type of Markov chain Monte Carlo method such as Gibbs sampling. A possible point of confusion...

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SABR volatility model

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distributed random variables Markov chain Moran process Random walk Loop-erased Self-avoiding Biased Maximal entropy Continuous time Additive process Bessel process...

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Theory of conjoint measurement

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theory of conjoint measurement (also known as conjoint measurement or additive conjoint measurement) is a general, formal theory of continuous quantity...

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Gaussian random field

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distributed random variables Markov chain Moran process Random walk Loop-erased Self-avoiding Biased Maximal entropy Continuous time Additive process Bessel process...

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