Generating Functions and Characteristic Functions

  • Byron P. Roe
Part of the Undergraduate Texts in Contemporary Physics book series (UTCP)


Generating and characteristic functions are of considerable use in theoretical probability, i.e., proving probability theorems. They are also of use to us when we wish to put two distributions together. Consider x = x1 + x2 +... + x n , where x1 is distributed according to one distribution, x2 according to another, etc. Sometimes the number of distributions is not fixed, but distributed according to some random distribution also. In the present chapter, we will consider several examples of applications of this kind.


Characteristic Function Independent Random Variable Prove Theorem Geometrical Distribution Bernoulli Trial 
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Copyright information

© Springer-Verlag New York, Inc. 2001

Authors and Affiliations

  • Byron P. Roe
    • 1
  1. 1.Department of Physics, Randall LaboratoryUniversity of MichiganAnn ArborUSA

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