Bias Reduction Methods for the Extrema of Certain ConditionalSample Functions
样本函数条件极值中减低偏差的方法

The order of bias term in the conditional extrema of sample functions is analyzed and some methods for bias reduction are discussed in this paper. It comes to a conclusion that it is not enough for bias reduction while using the classical jackknife or delete-d jackknife method. On the basis of that, a bootstrapping method for bias reduction is mentioned and it is proven that $\theta_{nab}$is a better estimator in the sense of {\rm mse}