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Joint Characteristic Functions and Associated Sequences

  • André Robert Dabrowski
Part of the Progress in Probability and Statistics book series (PRPR, volume 11)

Abstract

The proof of a limit theorem for independent and identically distributed random variables usually uses independence in a fundamental way. For dependent sequences, the dependence structure is frequently used to approximate the classical tools of independence, i.e. the expression of joint probabilities as a product of marginal probabilities, and/or the factorization of joint characteristic functions. Here, we wish to review the connection between characteristic functions, associated sequences and two fundamental limit theorems.

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Copyright information

© Springer Science+Business Media New York 1986

Authors and Affiliations

  • André Robert Dabrowski
    • 1
  1. 1.Department of MathematicsUniversity of OttawaOttawaCanada

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