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MARKOV CHAINS - Начало

MARKOV Chains1 THINK ABOUT ITMARKOV CHAINSIf we know the probability that the child of a lower-class parent becomes middle-class or upper-class, and we know similar information for the child of a middle-class or upper-class parent,what is the probability that the grandchild or great-grandchild of a lower-class parent ismiddle- or upper-class?Using MARKOV CHAINS , we will learn the answers to such questions. A stochastic process is a mathematical model that evolves over time in aprobabilistic manner. In this section we study a special kind of stochastic process,called a MARKOV chain ,where the outcome of an experiment depends only on theoutcome of the previous experiment. In other words, the next state of the systemdepends only on the present state, not on preceding states. Applications of Markovchains in medicine are quite common and have become a standard tool of med-ical decision making.

Markov Chains 1 THINK ABOUT IT MARKOV CHAINS If we know the probability that the child of a lower-class parent becomes middle-class or upper-class, and we know similar information for the child of a middle-class or upper-class parent,

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