Probability pp 243-270 | Cite as


  • Alan F. Karr
Part of the Springer Texts in Statistics book series (STS)


Martingales originated as mathematical models of fair gambling games, and because of the variety of situations in which they arise and the powerful theory that has been developed for them, have become central objects in probability and statistics. Along with Markov processes and stationary processes, they are one of three key departures from independence.


Convergence Theorem Conditional Expectation Entry Time Uniform Integrability Integrable Martingale 
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Copyright information

© Springer Science+Business Media New York 1993

Authors and Affiliations

  • Alan F. Karr
    • 1
  1. 1.National Institute of Statistical SciencesUSA

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