EFFICIENCY OF CERTAIN METHODS OF ESTIMATION FOR THE NEGATIVE BINOMIAL AND THE NEYMAN TYPE A DISTRIBUTIONS
WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
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A mathematical study is made of the asymptotic efficiency of certain methods of estimation for the negative binomial and the Neyman Type A distributions. The efficiency of the methed report thod of moments for these distributions is found to be high for certain triangular shaped regions in parameter space and in these triangular shaped regions variances of the distributions are close to their respective means. It is concluded that the methods using three statistics are asymptotically more efficient than the ones using only two statistics. An appendix is provided in which the efficiency of the statistical data for the various methods are listed in a group of tables.