Titlebook: Discrete Probability Models and Methods; Probability on Graph Pierre Brémaud Textbook 2017 Springer International Publishing Switzerland 20

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有机体

2199-3130 The emphasis in this book is placed on general models (Markov chains, random fields, random graphs), universal methods (the probabilistic method, the coupling method, the Stein-Chen method, martingale methods, the method of types) and versatile tools (Chernoff‘s bound, Hoeffding‘s inequality, Holley

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panorama

Random Variables,is chapter gives the elementary rules for computing expectations, a list of famous discrete random variables or vectors (binomial, geometric, Poisson and multinomial), and the elementary theory of conditional expectation.

panorama

Random Variables, numbers. All are functions of the outcome of a random experiment (performed either by man or by nature) and taking discrete values, that is, values in a countable set. These values are integers in the above examples, but they can be more complex mathematical objects, such as graphs for instance. Th

flutter

The probabilistic Method,ollection of tricks, but as one gets used to it, some unity emerges from the recurrence of these tricks that henceforth deserve to be called “tools”. One can of course strive to give a unified theoretical treatment to the probabilistic method.

使害怕

The Method of Types, in the continuous case require a rather formidable technical equipment: Sanov’s principle and the maximum entropy principle. The objects considered by this method are empirical averages, and the basic mathematical notion is that of divergence.

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