• Thumbnail for Markov chain
    In probability theory and statistics, a Markov chain or Markov process is a stochastic process describing a sequence of possible events in which the probability...
    96 KB (12,900 words) - 21:01, 27 April 2025
  • In statistics, Markov chain Monte Carlo (MCMC) is a class of algorithms used to draw samples from a probability distribution. Given a probability distribution...
    62 KB (8,534 words) - 16:16, 12 May 2025
  • 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...
    52 KB (6,811 words) - 04:08, 22 December 2024
  • A continuous-time Markov chain (CTMC) is a continuous stochastic process in which, for each state, the process will change state according to an exponential...
    23 KB (4,240 words) - 18:35, 6 May 2025
  • 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...
    14 KB (2,405 words) - 17:52, 29 March 2025
  • In the mathematical theory of probability, an absorbing Markov chain is a Markov chain in which every state can reach an absorbing state. An absorbing...
    12 KB (1,762 words) - 11:26, 30 December 2024
  • Thumbnail for Andrey Markov
    known as the Markov chain. He was also a strong, close to master-level, chess player. Markov and his younger brother Vladimir Andreyevich Markov (1871–1897)...
    10 KB (1,072 words) - 15:39, 28 November 2024
  • Thumbnail for Discrete-time Markov chain
    In probability, a discrete-time Markov chain (DTMC) is a sequence of random variables, known as a stochastic process, in which the value of the next variable...
    25 KB (4,252 words) - 18:52, 20 February 2025
  • Markov chain geostatistics uses Markov chain spatial models, simulation algorithms and associated spatial correlation measures (e.g., transiogram) based...
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  • In mathematics, the quantum Markov chain is a reformulation of the ideas of a classical Markov chain, replacing the classical definitions of probability...
    2 KB (201 words) - 17:45, 26 February 2025
  • Thumbnail for Markov property
    stochastic process satisfying the Markov property is known as a Markov chain. A stochastic process has the Markov property if the conditional probability...
    8 KB (1,124 words) - 20:27, 8 March 2025
  • 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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  • The Lempel–Ziv–Markov chain algorithm (LZMA) is an algorithm used to perform lossless data compression. It has been used in the 7z format of the 7-Zip...
    31 KB (3,534 words) - 21:42, 4 May 2025
  • simplest Markov model is the Markov chain. It models the state of a system with a random variable that changes through time. In this context, the Markov property...
    10 KB (1,231 words) - 22:12, 5 May 2025
  • 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...
    20 KB (2,959 words) - 14:55, 5 May 2025
  • 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...
    55 KB (8,917 words) - 23:47, 18 March 2025
  • from its connection to Markov chains, a concept developed by the Russian mathematician Andrey Markov. The "Markov" in "Markov decision process" refers...
    35 KB (5,156 words) - 19:43, 21 March 2025
  • Thumbnail for Random walk
    ) {\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...
    56 KB (7,703 words) - 01:28, 25 February 2025
  • mathematical theory of Markov chains, the Markov chain tree theorem is an expression for the stationary distribution of a Markov chain with finitely many...
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  • 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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  • 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 A,B_{1}...
    16 KB (2,396 words) - 16:08, 20 December 2024
  • Markov chain on a measurable state space is a discrete-time-homogeneous Markov chain with a measurable space as state space. The definition of Markov...
    5 KB (1,000 words) - 08:14, 16 October 2023
  • Thumbnail for Metropolis–Hastings algorithm
    statistics and statistical physics, the Metropolis–Hastings algorithm is a Markov chain Monte Carlo (MCMC) method for obtaining a sequence of random samples...
    30 KB (4,556 words) - 09:14, 9 March 2025
  • Thumbnail for Stochastic process
    scientists. Markov processes and Markov chains are named after Andrey Markov who studied Markov chains in the early 20th century. Markov was interested...
    168 KB (18,656 words) - 09:58, 13 May 2025
  • of jobs to the queue. Markov chains with generator matrices or block matrices of this form are called M/G/1 type Markov chains, a term coined by Marcel...
    14 KB (1,787 words) - 08:05, 21 November 2024
  • balance in kinetics seem to be clear. A Markov process is called a reversible Markov process or reversible Markov chain if there exists a positive stationary...
    35 KB (5,752 words) - 22:33, 12 April 2025
  • Thumbnail for Finite-state machine
    Library of Congress Card Catalog Number 65-17394. "We may think of a Markov chain as a process that moves successively through a set of states s1, s2,...
    40 KB (4,528 words) - 07:30, 2 May 2025
  • processes, such as Markov chains and Poisson processes, can be derived as special cases among the class of Markov renewal processes, while Markov renewal processes...
    4 KB (834 words) - 02:10, 13 July 2023
  • However, with the advent of powerful computers and new algorithms like Markov chain Monte Carlo, Bayesian methods have gained increasing prominence in statistics...
    20 KB (2,480 words) - 14:54, 16 April 2025
  • Thumbnail for Generative artificial intelligence
    likely the Markov chain. Markov chains have long been used to model natural languages since their development by Russian mathematician Andrey Markov in the...
    173 KB (14,927 words) - 08:40, 13 May 2025