Abstract
Cacoullos and Papageorgiou (1982, in Statistics and Probability. Essays in Honor of C. R. Rao, G. Kallianpur et al. (eds), 155-168; Amsterdam: North-Holland) introduced and studied a threeparameter bivariate discrete distribution, which they called the negative binomial-Poisson, to analyze traffic accidents. In this paper, maximum likelihood estimators for the parameters of the bivariate negative binomial-Poisson distribution are derived. Asymptotic efficiencies of moments, even points, double zero proportion, and ratio of frequencies estimators are examined. Small-sample comparisons of the different estimators are also given. The methods of maximum likelihood and double zero proportion for large samples and the methods of moments and maximum likelihood for small samples should be preferred over the remaining estimation techniques.
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