Kod: 01399364
The authors introduce the basic objects of probability theory, at the same time developing concepts from measure theory as required. They then proceed through the standard topics in the subject, including laws of large numbers, ch ... więcej
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The authors introduce the basic objects of probability theory, at the same time developing concepts from measure theory as required. They then proceed through the standard topics in the subject, including laws of large numbers, characteristic functions, central limit theorems, conditioning, and random walks.§The latter part of the book concerns stochastic processes in both discrete and continuous time, with individual chapters being devoted to martingales, renewal sequences, Markov processes, exchangeable sequences, stationary sequences, point processes, Levy processes, interacting particle systems, and diffusions.§The book contains numerous examples and over 1000 exercises.
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