Journal of the Korean Statistical Society

The Korean Statistical Society (한국통계학회)
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A NOTE ON LATTICE DISTRIBUTIONS ON THE TORUS

  • Park, Chong-Jin (Department of Mathematical and Computer Sciences, San Diego State University) ;
  • Lee, Kyu-Seok (Department of Statistics, Seoul National University)
  • Published : 2003.03.01
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Abstract

In the recent papers by Harris and Park (1994) and by Hui and Park (2000), a family of lattice distributions derived from a sum of independent identically distributed random variables is examined. In this paper we generalize a result of Hui and Park (2000) on lattice distributions on the torus using the Poisson summation formula.

Keywords

References

  1. Fourier Series and Integrals Dym, H.;Mckean, H. P.
  2. Real Analysis: Modern Techniques and Their Applications Folland, G. B.
  3. A generalization of the Eulerian numbers with a probabilistic application v.20 A generalization of the Eulerian numbers with a probabilistic application Harris, B.;Park, C. J.