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On Estimating the Parameters of a Bivariate Probability Model Applicable to Traffic Accidents

H. Papageorgiou and S. Loukas
Biometrics
Vol. 44, No. 2 (Jun., 1988), pp. 495-504
DOI: 10.2307/2531862
Stable URL: http://www.jstor.org/stable/2531862
Page Count: 10
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On Estimating the Parameters of a Bivariate Probability Model Applicable to Traffic Accidents
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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 three-parameter 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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