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Original Articles

The Least Upper Bound on the Poisson-Negative Binomial Relative Error

Pages 1833-1838 | Received 10 Nov 2010, Accepted 23 Dec 2010, Published online: 13 Apr 2012

References

  • Gerber , H. U. ( 1984 ). Error bounds for the compound Poisson approximation . Ins. Math. Econom. 3 : 191 – 194 .
  • Johnson , N. L. , Kotz , S. , Kemp , A. W. ( 2005 ). Univariate Discrete Distributions. , 3rd ed. New York : Wiley .
  • Majsnerowska , M. ( 1998 ). A note on Poisson approximation by w-functions . Appl. Math. 25 : 387 – 392 .
  • Pfeifer , D. ( 1987 ). On the distance between mixed Poisson and Poisson distributions . Statist. Dec. 5 : 367 – 379 .
  • Romanowska , M. ( 1977 ). A note on the upper bound for the distance in total variation between the binomial and the Poisson distributions . Statist. Neerlandica. 31 : 127 – 130 .
  • Roos , B. ( 2003 ). Improvements in the Poisson approximation of mixed Poisson distributions . J. Statist. Plann. Infer. 113 : 467 – 483 .
  • Vervaat , W. ( 1969 ). Upper bound for distance in total variation between the binomial or negative binomial and the Poisson distribution . Statist. Neerlandica. 23 : 79 – 86 .

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