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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)

Publication Information

Journal of the Korean Statistical Society / v.32, no.1, 2003 , pp. 21-24 More about this Journal

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

Lattice distributions; Fourier transform on torus; Poisson summation formula;

Citations & Related Records

Reference

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