Abstract
Hail occurrence, being a comparatively rare event, is fit well by the Poisson distribution providing the hail storms are independent. When this condition is not met, hail occurrence follows the negative binomial distribution. A test is given which determines whether the Poisson distribution may be used, or whether the negative binomial is necessary. The parameter of the Poisson distribution is always estimated efficiently by the method of moments. The parameters of the negative binomial distribution, however, are only efficiently estimated by the method of moments under certain conditions; when the method of moments fails, the method of maximum likelihood must be employed. A criterion to determine when this method must be used is given together with the method of obtaining the estimates. The methods presented are illustrated by application to several hail records.
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