Journal of the Korean Statistical Society

The Korean Statistical Society (한국통계학회)
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A Note on a Family of Lattice Distributions

  • Stefen Hui (Departemnt of Mathematical Sciences, San Diego State University, San Diego, CA 92182) ;
  • Park, C. J. (Department of Mathematical Sciences, San Diego State University, San Diego, CA 92182)
  • Published : 2000.09.01
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Abstract

In this note we use the Poisson Summation Formula to generalize a result of Harris and Park (1994) on lattice distributions induced by uniform (0,1) random variables to those generated by random variables with step functions as their probability functions.

Keywords

References

  1. Fourier Series and Integrals Dym, H.;H.P. McKean
  2. An Introduction to Probability Theory and Its Applications v.2 Feller, William
  3. Statistics and Probability Letters v.20 A generalization of Eulerian numbers with a probabilistic application Harris, B.;C.J. Park