Theory of Probability and Random Processes - Softcover

Koralov, Leonid; Sinai, Yakov G.

 
9783540809661: Theory of Probability and Random Processes

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Inhaltsangabe

Probability Theory.- Random Variables and Their Distributions.- Sequences of Independent Trials.- Lebesgue Integral and Mathematical Expectation.- Conditional Probabilities and Independence.- Markov Chains with a Finite Number of States.- Random Walks on the Lattice ?d.- Laws of Large Numbers.- Weak Convergence of Measures.- Characteristic Functions.- Limit Theorems.- Several Interesting Problems.- Random Processes.- Basic Concepts.- Conditional Expectations and Martingales.- Markov Processes with a Finite State Space.- Wide-Sense Stationary Random Processes.- Strictly Stationary Random Processes.- Generalized Random Processes.- Brownian Motion.- Markov Processes and Markov Families.- Stochastic Integral and the Ito Formula.- Stochastic Differential Equations.- Gibbs Random Fields.

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9783540254843: Theory of Probability and Random Processes (Universitext)

Vorgestellte Ausgabe

ISBN 10:  3540254846 ISBN 13:  9783540254843
Verlag: Springer, 2012
Softcover