Abstract
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 language | English |
|---|---|
| Pages (from-to) | 223-229 |
| Number of pages | 7 |
| Journal | Journal of Statistical Planning and Inference |
| Volume | 63 |
| Issue number | 2 |
| Publication status | Published - 15 Oct 1997 |
Keywords
- maximum entropy
- most probable distribution
- discrete normal distribution
- Heine distribution
- weighted distribution
- HEINE