Probability, Random Variables and Stochastic Processes - Brossura

Papoulis, Athanasios; Pillai, S. Unnikrishna

 
9780071199810: Probability, Random Variables and Stochastic Processes

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Sinossi

The fourth edition of Probability, Random Variables and Stochastic Processes has been updated significantly from the previous edition, and it now includes co-author S. Unnikrishna Pillai of Polytechnic University. The book is intended for a senior/graduate level course in probability and is aimed at students in electrical engineering, math, and physics departments. The authors' approach is to develop the subject of probability theory and stochastic processes as a deductive discipline and to illustrate the theory with basic applications of engineering interest. Approximately 1/3 of the text is new material--this material maintains the style and spirit of previous editions. In order to bridge the gap between concepts and applications, a number of additional examples have been added for further clarity, as well as several new topics.

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Contenuti

Part 1 Probability and Random Variables

1 The Meaning of Probability

2 The Axioms of Probability

3 Repeated Trials

4 The Concept of a Random Variable

5 Functions of One Random Variable

6 Two Random Variables

7 Sequences of Random Variables

8 Statistics

Part 2 Stochastic Processes

9 General Concepts

10 Random Walk and Other Applications

11 Spectral Representation

12 Spectral Estimation

13 Mean Square Estimation

14 Entropy

15 Markov Chains

16 Markov Processes and Queueing Theory

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