A Markov chain is a process, invented by the Russian mathematician Andrei Markov (1856-1922), used for predicting future outcomes or "states" of a system based upon the current state of the system. More formally, a Markov chain is a probabilistic...

A probabilistic analysis showing how each state in an evolutionary process produces the next state in a finite chain. This has been applied to the study of reproduction and migration, e.g. migration between two countries depends on past movements of...

See Stochastic...

In mathematics, a Markov chain, named after Andrei Markov, is a discrete-time stochastic process with the Markov property. Having the Markov property means the next state solely depends on the present state and doesn't directly depend on the previous...

J. R. NORRIS. Cambridge, U.K.: Cambridge University Press, 1997. ISBN 0-521-48181-3. xvi + 237 pp. $49.95. Markov chains, or stochastic processes that satisfy the so-called Markov memoryless property, have become the cornerstones of many modern stochastic analyses. Textbooks on the subject abound...

A departure from the traditional combinatorial approach for evaluating statistics of success runs in a sequence of Bernoulli trials is examined. Traditionally, exact distributions of many run statistics remained unknown even in the simplest case of independent and identically distributed trials. It is shown...