Thinning and information projections

Peter Harremoës, Oliver T Johnson, Ioannis Kontoyiannis

Research output: Working paper


In this paper we establish lower bounds on information divergence of a distribution on the integers from a Poisson distribution. These lower bounds are tight and in the cases where a rate of convergence in the Law of Thin Numbers can be computed the rate is determined by the lower bounds proved in this paper. General techniques for getting lower bounds in terms of moments are developed. The results about lower bound in the Law of Thin Numbers are used to derive similar results for the Central Limit Theorem.
Original languageEnglish
PublisherInstitute of Electrical and Electronics Engineers (IEEE)
Number of pages11
Publication statusSubmitted - 17 Jan 2016


  • Information divergence
  • Poisson-Charlier polynomials
  • Poisson distribution
  • Thinning


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