ベータ二項モデルの混合度パラメータの推定

抄録

The efficiency of four estimators including m. l. estimator and moment estimator, for a parameter of mixing index in beta-binomial model is compared. The asymptotic variance of m. l. estimator is shown to be approximated with the minimum variance in a class of unbiased estimators, which are constituted with polynomials of second order. Appropriate combinations of sample size (n) and number of samples (r) are suggested for spot-sampling plan.