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Examples of Markov chains information


This article contains examples of Markov chains and Markov processes in action.

All examples are in the countable state space. For an overview of Markov chains in general state space, see Markov chains on a measurable state space.

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Examples of Markov chains

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contains examples of Markov chains and Markov processes in action. All examples are in the countable state space. For an overview of Markov chains in general...

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Markov chain

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A Markov chain or Markov process is a stochastic model describing a sequence of possible events in which the probability of each event depends only on...

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Markov chain Monte Carlo

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In statistics, Markov chain Monte Carlo (MCMC) is a class of algorithms used to draw samples from a probability distribution. Given a probability distribution...

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Absorbing Markov chain

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once entered, cannot be left. Like general Markov chains, there can be continuous-time absorbing Markov chains with an infinite state space. However, this...

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Hidden Markov model

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A hidden Markov model (HMM) is a Markov model in which the observations are dependent on a latent (or "hidden") Markov process (referred to as X {\displaystyle...

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Markov model

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Markov-chains have been used as a forecasting methods for several topics, for example price trends, wind power and solar irradiance. The Markov-chain...

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Markov property

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Andrey Markov. The term strong Markov property is similar to the Markov property, except that the meaning of "present" is defined in terms of a random...

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Kolmogorov equations

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characterize continuous-time Markov processes. In particular, they describe how the probability of a continuous-time Markov process in a certain state changes...

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List of mathematical examples

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functions Examples of groups List of the 230 crystallographic 3D space groups Examples of Markov chains Examples of vector spaces Fano plane Frieze group...

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Additive Markov chain

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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...

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Markov decision process

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manufacturing. The name of MDPs comes from the Russian mathematician Andrey Markov as they are an extension of Markov chains. At each time step, the process...

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List of probability topics

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diffusion Law of the iterated logarithm Lévy flight Lévy process Loop-erased random walk Markov chain Examples of Markov chains Detailed balance Markov property...

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Outline of probability

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Ornstein–Uhlenbeck process Gamma process Markov property Branching process Galton–Watson process Markov chain Examples of Markov chains Population processes Applications...

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Markov chain mixing time

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of a Markov chain is the time until the Markov chain is "close" to its steady state distribution. More precisely, a fundamental result about Markov chains...

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Markov Chains and Mixing Times

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Markov Chains and Mixing Times is a book on Markov chain mixing times. The second edition was written by David A. Levin, and Yuval Peres. Elizabeth Wilmer...

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Markov chains on a measurable state space

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state space. The definition of Markov chains has evolved during the 20th century. In 1953 the term Markov chain was used for stochastic processes with...

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Lumpability

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size of the state space of some continuous-time Markov chains, first published by Kemeny and Snell. Suppose that the complete state-space of a Markov chain...

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Markov chain central limit theorem

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mathematical theory of random processes, the Markov chain central limit theorem has a conclusion somewhat similar in form to that of the classic central...

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Martingale representation theorem

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martingales on filtrations induced by jump processes, for example, by Markov chains. Let B t {\displaystyle B_{t}} be a Brownian motion on a standard filtered...

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Detailed balance

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to be clear. A Markov process is called a reversible Markov process or reversible Markov chain if there exists a stationary distribution π that satisfies...

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Stochastic matrix

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stochastic matrix is a square matrix used to describe the transitions of a Markov chain. Each of its entries is a nonnegative real number representing a probability...

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Subshift of finite type

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we can impose a probability measure on the set of subshifts. For example, consider the Markov chain given on the left on the states A , B 1 , B 2 {\displaystyle...

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Random element

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associated with these random variables (for example, see Markov chain, also known as discrete-time Markov chain). Given a probability space ( Ω , F , P )...

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Markov random field

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domain of physics and probability, a Markov random field (MRF), Markov network or undirected graphical model is a set of random variables having a Markov property...

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List of statistics articles

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Ewens's sampling formula EWMA chart Exact statistics Exact test Examples of Markov chains Excess risk Exchange paradox Exchangeable random variables Expander...

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