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Titlebook: Elements of Probability and Statistics; An Introduction to P Francesca Biagini,Massimo Campanino Textbook 2016 Springer International Publi

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Marc Deneijer,Simme Douwe P. FlapperTwo friends . and . are playing with a deck of cards consisting of 52 cards, 13 for each sign. They choose out 2 cards each. Player . starts. In order to win, the player has to be the first to extract the ace of spade or 2 cards of diamonds.
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Duy Thieu Nguyen,Kenneth RuddleThe exponential distribution is a particular case of the gamma distribution with parameter .. If ., . and . are stochastically independent random numbers with exponential distribution of parameter ., i.e. Gamma distribution ., we can use the following property of the the sum of stochastically independent random numbers with Gamma distribution.
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Lakshmi Ratnam,Uday Patel,Anna Maria BelliLet . be the random number with density.
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Patricia McGuire,Caroline A. GlicksmanTo determine equivalence classes of the states, we can draw a graph of the transition probabilities by using the matrix .. We first represent the states.
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Discrete Time Markov ChainsThe Markov chain . can be seen as representing the evolution of a system that moves from one state to another in a random fashion. We have assumed that ., but it may be convenient to consider in some situations a general finite set .. In this case . are not random numbers, but random entities.
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Continuous Time Markov ChainsA . can be described in terms of servers and a flow of clients who access servers and are served according to some pre-established rules. The clients after service can either stay in the system or leave it, also according to some established rules.
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