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On the uniform distribution of sequences of random variables

  • P. J. Holewijn
Article

Summary

This paper deals with the almost sure uniform distribution (modulo 1) of sequences of random variables. In the case where the law of the increments X n+h −X n of the sequence X0, X1, ⋯ does not depend on n, sufficient conditions are given to assure the uniform distribution (modulo 1) with probability one. As an illustrative example the partial sums of a sequence of independent, identically distributed variables is considered.

Keywords

Assure Uniform Distribution Stochastic Process Probability Theory Mathematical Biology 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 1969

Authors and Affiliations

  • P. J. Holewijn
    • 1
  1. 1.Department of MathematicsThe Technological University of DelftDelftThe Netherlands

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