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Markov chain
(redirected from Markov chains)

   Also found in: Medical, Encyclopedia, Wikipedia 0.01 sec.
Markov chain [ˈmɑːkɒf]
n
(Mathematics & Measurements / Statistics) Statistics a sequence of events the probability for each of which is dependent only on the event immediately preceding it
[named after Andrei Markov (1856-1922), Russian mathematician]
ThesaurusLegend:  Synonyms Related Words Antonyms
Noun1.Markov chain - a Markov process for which the parameter is discrete time values
Markoff process, Markov process - a simple stochastic process in which the distribution of future states depends only on the present state and not on how it arrived in the present state


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Some areas studied include a mathematical-model approach to chlamydial infection in Japan, time-inhomogeneous Markov chains and ergodicity arising from nonlinear dynamic systems and optimization, solutions to open problems in n-dimensional fluid dynamics, exact penalty functions for constrained optimization problems, and the development of Lyapunov's direct method in the application to new types of problems of hydrodynamic stability theory.
Keywords: manpower planning, Markov chains, controlled Markov chains 1 Introduction Efficient manpower planning is a crucial task of managing large organisations such as transportation or industrial corporations, the state administration or military systems.
We show that, under suitable conditions, such Markov chains exhibit both rapid convergence to equilibrium and strong concentration of measure in the stationary distribution.
 
 
 
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