Characterizations of a discrete normal distribution.

Adrienne Winifred Kemp

Research output: Contribution to journalArticlepeer-review

58 Citations (Scopus)


The paper obtains a discrete analogue of the normal distribution as the distribution that is characterized by maximum entropy, specified mean and variance, and integer support on (-infinity, infinity). Two alternative characterizations are given, firstly as the distribution of the difference of two related Heine distributions, and secondly as a weighted distribution. (C) 1997 Elsevier Science B.V.

Original languageEnglish
Pages (from-to)223-229
Number of pages7
JournalJournal of Statistical Planning and Inference
Issue number2
Publication statusPublished - 15 Oct 1997


  • maximum entropy
  • most probable distribution
  • discrete normal distribution
  • Heine distribution
  • weighted distribution


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