8. Limit Theorems

  1. Liliana Blanco Castañeda1,
  2. Viswanathan Arunachalam2 and
  3. Selvamuthu Dharmaraja3

Published Online: 11 JUL 2012

DOI: 10.1002/9781118344972.ch8

Introduction to Probability and Stochastic Processes with Applications

Introduction to Probability and Stochastic Processes with Applications

How to Cite

Castañeda, L. B., Arunachalam, V. and Dharmaraja, S. (2012) Limit Theorems, in Introduction to Probability and Stochastic Processes with Applications, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9781118344972.ch8

Author Information

  1. 1

    National University of Colombia, Bogotá, Colombia

  2. 2

    Universidad de los Andes, Bogotá, Colombia

  3. 3

    Indian Institute of Technology Delhi, New Delhi, India

Publication History

  1. Published Online: 11 JUL 2012
  2. Published Print: 11 JUN 2012

ISBN Information

Print ISBN: 9781118294406

Online ISBN: 9781118344972

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Keywords:

  • large numbers;
  • random variables;
  • central limit theorem;
  • weak law;
  • strong law

Summary

This chapter contains sections titled:

  • The Weak Law of Large Numbers

  • Convergence of Sequences of Random Variables

  • The Strong Law of Large Numbers

  • Central Limit Theorem