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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 of each event depends only on the state attained in the previous event. A countably infinite sequence, in which the chain moves state at discrete time steps, gives a discrete-time Markov chain…

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Principles

History

Examples

Formal definition

Properties

Special types of Markov chains

Applications

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Markov chain

Nodes218
Edges217
Triples222
Avg. degree1.99
Density0.009174
Components1

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Markov chain

Top relations

related to Economics and finance · 19
Markov chain → Adlai, An, Calvet, Champernowne, Charles Bonini, Dynamic, Fisher, GDP, Hamilton, Herbert, It, James, Laurent, Louis Bachelier, Markov, Regime-switching, Simon, The, Yule
related to Examples · 19
Markov chain → Brownian, For, From, However, If, It, Mark, Markov, Poisson, Random, Shaney, Some, Tao Te Ching, The, Then, These, Two, Usenet, Wiener
related to history · 19
Markov chain → After, Alexander Pushkin, Andrey Markov, Eugene Onegin, Francis Galton, Galton, Henri Poincaré, Henry William Watson, In, Irénée-Jules Bienaymé, Markov, Maurice Fréchet, Other, Paul, Pavel Nekrasov, Poisson, Starting, Tatyana Ehrenfest, Watson
related to Games and sports · 12
Markov chain → AstroTurf, At, Cherry-O, During, Each, He, Hi Ho, Ladders, Mark Pankin, Markov, Snakes, The
related to Music · 10
Markov chain → An, Csound, Higher, Hz, In, Markov, Max, MIDI, SuperCollider, These
related to Information theory · 9
Markov chain → Claude Shannon's, Communication, English, Even, Markov, Mathematical Theory, Such, They, Viterbi
related to Types of Markov chains · 9
Markov chain → CTMC, DTMC, In, Markov, Moreover, Note, Notice, The, Usually
related to Biology · 8
Markov chain → Compartmental, DNA, Markov, Neurobiology, Notable, Phylogenetics, Population, Systems
related to Queueing theory · 8
Markov chain → Agner Krarup Erlang, CTMC, For, M/M/1, Markov, Numerous, Poisson, This
related to Chemistry · 7
Markov chain → For, Markov, Menten, Michaelis, Perhaps, The, While Michaelis-Menten

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Important terminology

markov state chain displaystyle process chains probability matrix distribution states used transition processes stationary time space one models system also

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Markov chainis atype of Markov process that has either a discrete state space or a discrete index set0.90text
Markov chainis aso-called0.90text
Markov chainis asequence of random variables X10.90text
Markov chainis aδ-skeleton0.90text
drugs or natural productsinstance offar more complicated reaction networks can also be modeled with Markov chains.An algorithm based on a Markov chain was also used to focus the fragment-based growth of chemicals…0.80text
arithmetic codinginstance ofsuch signal models can make possible very effective data compression through entropy encoding techniques0.80text
Csoundinstance ofparticularly in software0.80text
Maxinstance ofparticularly in software0.80text
and SuperColliderinstance ofparticularly in software0.80text
buntinginstance ofhow Markov chain models have been used to analyze statistics for game situations0.80text
base stealinginstance ofhow Markov chain models have been used to analyze statistics for game situations0.80text
differences when playing on grass vsinstance ofhow Markov chain models have been used to analyze statistics for game situations0.80text

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