# Markov chain

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## Markov,

(Markoff), Andrei, Russian mathematician, 1865-1922.
Markov chain - number of steps or events in sequence.
Markov chaining - a theory used in psychiatry.
Markov process - a process such that the conditional probability distribution for the state at any future instant, given the present state, is unaffected by any additional knowledge of the past history of the system.

## Markov chain, Markov model

a mathematical model that makes it possible to study complex systems by establishing a state of the system and then effecting a transition to a new state, such a transition being dependent only on the values of the current state, and not dependent on the previous history of the system up to that point.
References in periodicals archive ?
output growth on the transition probabilities on the business cycle of a given country.
For example, we assumed that transition probabilities and expenditure patterns based on data from 2004 to 2008 are representative of beneficiary experiences in later years.
THE TRANSITION PROBABILITIES OF PTER FLOWS DURING 2007-09 AND EFFECTS ON EMPLOYMENT, UNEMPLOYMENT, AND OLF
Subjective beliefs about transition probabilities are very difficult to measure, partially because they are a complicated topic to discuss formally.
The transition probabilities in Table 3 indicate that regimes are persistent in the Czech Republic, Latvia, Lithuania and Poland.
Table 3 contains three panels showing transition probabilities by displacement status and income type.
It is commonly assumed that the ratio of the B(E2) reduced transition probabilities between the levels of the ground state band takes the values between vibrational and rotational limits.
For this reason, we explored whether inclusion of annual transition probabilities would improve the prediction of finite rate of population growth.
Transition probabilities should satisfy the normal stochastic constraints, [a.
Calculated or measured transition probabilities and radiative lifetimes of In II are given in more than 30 published articles.
Since the transition probabilities in the seafloor example are derived from one empirical study, more experiments may be of interest to investigate how the channel capacity changes as other color scales than the one used in the experiment are applied.

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