JOURNAL OF THE JAPAN STATISTICAL SOCIETY
Online ISSN : 1348-6365
Print ISSN : 1882-2754
ISSN-L : 1348-6365
ASYMPTOTIC COMPARISON OF MINIMUM DISCREPANCY ESTIMATORS IN BERKSON'S BIOASSAY MODEL
Hidekazu Tanaka
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1997 Volume 27 Issue 2 Pages 165-178

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Abstract
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.
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