A Non-uniform Bound on Matching Problem

  • Received : 2005.04.21
  • Published : 2006.12.23

Abstract

The aim of this paper is to use the Stein-Chen method to obtain a non-uniform bound on Poisson approximation in matching problem.

Keywords

References

  1. A. D. Barbour, L. Holst and S. Janson, Poisson approximation, Oxford Studies in probability 2, Clarendon Press, Oxford, 1992.
  2. L. H. Y. Chen, Poisson approximation for dependent trials, Annals of probability, 3(1975), 534-545. https://doi.org/10.1214/aop/1176996359
  3. C. M. Stein, A bound for the error in normal approximation to the distribution of a sum of dependent random variables, Proc. Sixth Berkeley Sympos. Math. Statist. Probab., 3(1972), 583-602.
  4. K. Teerapabolarn and K. Neammanee, Poisson Approximation for Sums of Dependent Bernoulli Random Variables, Acta Math., 22(2006), 87-99. https://doi.org/10.1007/s10114-004-0472-6