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The median of the poisson distribution


The purpose of this paper is twofold: first, to provide a closed form expression for the median of the Poisson distribution and, second, to improve the known estimates of the difference between the median and the mean of the Poisson distribution. We use elementary techniques based on the monotonicity of certain sequences involving tail probabilities of the Poisson distribution and the Central Limit Theorem

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Correspondence to J. A. Adell.

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Received November 2002

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Adell, J., Jodrá, P. The median of the poisson distribution. Metrika 61, 337–346 (2005).

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  • Poisson distribution
  • median
  • mean
  • central limit theorem
  • Poisson–gamma relation
  • Poisson mixture