Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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GENERALIZED CONVOLUTION OF UNIFORM DISTRIBUTIONS

  • Kang, Jong-Seong (College of Pharmacy, Chungnam National University) ;
  • Kim, Sung-Lai (Department of Mathematics, Chungnam National University) ;
  • Kim, Yang-Hee (Department of Mathematics Education, Chungnam National University) ;
  • Jang, Yu-Seon (Drug Development Research Institute, Chungnam National University)
  • Received : 2010.05.10
  • Accepted : 2010.07.05
  • Published : 2010.09.30
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Abstract

we investigate the n-fold convolution of the uniform distributions. First, we are concerned with the explicit distribution function of the partial sum ${\zeta}_n$ when the random variables are independent and has identically uniform distribution, next, we determine the n-fold convolution distribution of ${\zeta}_n$ when the identically distributed condition is not satisfied.

Keywords

References

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