Chapter 2. Sums and Other Functions of Several Random Variables

  1. Marc S. Paolella

Published Online: 14 SEP 2007

DOI: 10.1002/9780470035061.ch2

Intermediate Probability: A Computational Approach

Intermediate Probability: A Computational Approach

How to Cite

Paolella, M. S. (2007) Sums and Other Functions of Several Random Variables, in Intermediate Probability: A Computational Approach, John Wiley & Sons, Ltd, Chichester, UK. doi: 10.1002/9780470035061.ch2

Author Information

  1. Swiss Banking Institute, University of Zurich, Switzerland

Publication History

  1. Published Online: 14 SEP 2007
  2. Published Print: 24 AUG 2007

ISBN Information

Print ISBN: 9780470026373

Online ISBN: 9780470035061

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Keywords:

  • random variables;
  • independent random variable - weighted sums;
  • exact integral expressions;
  • symmetry of problem;
  • approximating mean and variance;
  • Jensen's inequality

Summary

This chapter contains sections titled:

  • Weighted sums of independent random variables

  • Exact integral expressions for functions of two continuous random variables

  • Approximating the mean and variance

  • Problems