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008 171029b xxu||||| |||| 00| 0 eng d
020 _a9783319434759
040 _cIITK
041 _aeng
082 _a519.2
_bB75d
100 _aBremaud, Pierre
245 _aDiscrete probability models and methods
_bprobability on graphs and trees, Markov chains and random fields, entropy and coding
_cPierre Bremaud
260 _bSpringer
_c2017
_aSwitzerland
300 _axiv, 559p
440 _aProbability theory and stochastic modelling
490 _a/ edited by Soren Asmussen; v.78
505 _aThe 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's inequality) whose domain of application extends far beyond the present text. Although the examples treated in the book relate to the possible applications, in the communication and computing sciences, in operations research and in physics, this book is in the first instance concerned with theory. The level of the book is that of a beginning graduate course. It is self-contained, the prerequisites consisting merely of basic calculus (series) and basic linear algebra (matrices). The reader is not assumed to be trained in probability since the first chapters give in considerable detail the background necessary to understand the rest of the book.
650 _aProbabilities -- Data processing
650 _aComputer science -- Mathematics
650 _aMathematical statistics
942 _cBK
999 _c558138
_d558138