Advances and Applications in Statistics
Volume 5, Issue 2, Pages 229 - 245
(August 2005)
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A NOTE ON THE DISCRETE NORMAL DISTRIBUTION
Jorge Navarro (Spain) and José . Ruiz (Spain)
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Abstract: Kemp [] studied a discrete analogue of the normal (Gauss) distribution extending the work of Dasgupta []. Kemp gives three characterizations of the discrete normal distribution including the characterization as the maximum entropy distribution (MED) in the integers for a given mean and a given variance. We reparametrize this model and obtain new properties, including two new characterizations. Moreover, we propose a generalization of this model and we give several tables to calculate the associated distribution function and to approach other discrete distributions. |
Keywords and phrases: discrete normal distribution, maximum entropy, reliability measures, failure rate, mean residual life, discrete Pearson distributions. |
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