A first look at rigorous probability theory

Bibliographic Information

A first look at rigorous probability theory

Jeffrey S. Rosenthal

World Scientific, c2006

2nd ed

  • : [hd.]
  • : pbk

Available at  / 34 libraries

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Note

Includes bibliographical references (p. 209-211) and index

Contents of Works

  • The need for measure theory
  • Probability triples
  • Further probabilistic foundations
  • Expected values
  • Inequalities and convergence
  • Distributions of random variables
  • Stochastic processes and gambling games
  • Discrete Markov chains
  • More probability theorems
  • Weak convergence
  • Characteristic functions
  • Decomposition of probability laws
  • Conditional probability and expectation
  • Martingales
  • General stochastic processes
  • Mathematical background

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