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What (who) is Markov property - definition
Markov property
![A single realisation of three-dimensional [[Brownian motion]] for times 0 ≤ t ≤ 2. Brownian motion has the Markov property, as the displacement of the particle does not depend on its past displacements.](https://commons.wikimedia.org/wiki/Special:FilePath/Wiener process 3d.png?width=200 "A single realisation of three-dimensional [[Brownian motion]] for times 0 ≤ t ≤ 2. Brownian motion has the Markov property, as the displacement of the particle does not depend on its past displacements.")
STOCHASTIC PROCESS SATISFYING A CERTAIN PROPERTY
Markov Property; Markov-type property; Strong Markov property; Markov assumption; Markov condition
In probability theory and statistics, the term Markov property refers to the memoryless property of a stochastic process. It is named after the Russian mathematician Andrey Markov.
Markov process
![Russian mathematician [[Andrey Markov]]](https://commons.wikimedia.org/wiki/Special:FilePath/AAMarkov.jpg?width=200 "Russian mathematician [[Andrey Markov]]")
STOCHASTIC MODEL DESCRIBING A SEQUENCE OF POSSIBLE EVENTS IN WHICH THE PROBABILITY OF EACH EVENT DEPENDS ONLY ON THE STATE ATTAINED IN THE PREVIOUS EVENT
Markov process; Markov sequence; Markov chains; Markov analysis; Markovian process; Markovian property; Markov predictor; Markoff chain; Markov Chain; Markoff Chain; Transition probabilities; Absorbing state; Markov Chaining; Equilibrium distribution; Markov-Chain; Markhow chain; Irreducible Markov chain; Transition probability; Markov Chains; Homogeneous Markov chain; Markov Processes; Markov Sequences; Markov Process; Markovian chain; Embedded Markov chain; Positive recurrent; Transition density; Transitional probability; Markov text generators; Markov text; Applications of Markov chains
<probability, simulation> A process in which the sequence of
events can be described by a Markov chain.
(1995-02-23)
Markov chain
STOCHASTIC MODEL DESCRIBING A SEQUENCE OF POSSIBLE EVENTS IN WHICH THE PROBABILITY OF EACH EVENT DEPENDS ONLY ON THE STATE ATTAINED IN THE PREVIOUS EVENT
Markov process; Markov sequence; Markov chains; Markov analysis; Markovian process; Markovian property; Markov predictor; Markoff chain; Markov Chain; Markoff Chain; Transition probabilities; Absorbing state; Markov Chaining; Equilibrium distribution; Markov-Chain; Markhow chain; Irreducible Markov chain; Transition probability; Markov Chains; Homogeneous Markov chain; Markov Processes; Markov Sequences; Markov Process; Markovian chain; Embedded Markov chain; Positive recurrent; Transition density; Transitional probability; Markov text generators; Markov text; Applications of Markov chains
<probability> (Named after Andrei Markov) A model of
sequences of events where the probability of an event
occurring depends upon the fact that a preceding event
occurred.
A Markov process is governed by a Markov chain.
In simulation, the principle of the Markov chain is applied
to the selection of samples from a probability density
function to be applied to the model. Simscript II.5 uses
this approach for some modelling functions.
[Better explanation? ]
(1995-02-23)
