Probability, random variables, and stochastic processes

書誌事項

Probability, random variables, and stochastic processes

Athanasios Papoulis

(McGraw-Hill series in electrical engineering, . Communications and signal processing)

McGraw-Hill, c1991

3rd ed

  • : pbk

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注記

Bibliography: p. 658-659

Includes index

内容説明・目次

内容説明

Designed for graduate-level courses, this text has defined the course of study in probability theory, highly regarded for its strong mathematical orientation and comprehensive coverage. The book classifies topics in probability, random variables, and stochastic processes very logically, carefully incorporating a wide range of illustrations and applications. This edition contains a substantial revision of Parts II & III with greater emphasis on realistic methods of spectral estimation and analysis, and many new problems, examples and applications.

目次

  • Probability and random
  • the meaning of probability
  • the axioms of probability
  • repeated trials
  • the concept of a random variable
  • functions of one random variable
  • bivariate distributions
  • moments and conditional statistics
  • sequences of random variables
  • statistics
  • stochastic processes
  • general concepts
  • basic applications
  • spectral representation
  • spectral estimation
  • mean square estimation
  • entrophy
  • selected topics.

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