ASYMPTOTIC COMPARISON OF MINIMUM DISCREPANCY ESTIMATORS IN BERKSON'S BIOASSAY MODEL

抄録

The conditional expectations of minimum logit-x² and minimum discrepancy estimators including the maximum likelihood estimator given the maximum likelihood estimator are discussed. It is shown that the n^-2 order mean squared errors of all the bias-adjusted conditional expectations of minimum discrepancy and minimum logit-x² estimators are of equal value. Further, their n^-3 order mean squared errors are evaluated, and in a special case, the bias-adjusted maximum likelihood estimator is numerically compared with the others.