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利用辅助信息估计有限总体分布函数的核方法AI 解读

This paper considers the use of auxiliary information to improve the estimation of the distribution function of a finite population. A method is proposed which combines the known distribution of the auxiliary variable with a kernel estimate of the conditional distribution of the survey variable given the value of the auxiliary variable. The resulting estimator compares favourably with existing estimators in terms of efficiency, conditional behaviour and robustness. The…

利用辅助信息估计有限总体中位数AI 解读

SUMMARY This paper deals with the estimation, under simple random sampling, of a finite population median in the presence of an auxiliary variable. An estimator which is a simple modification of the ratio estimator for the mean is studied along with two other proposed estimators derived from a different approach. These estimators are applicable in situations where only the population median or a grouped frequency distribution of the auxiliary variable is known. On the basis…

不等概率抽样下分布函数与中位数的估计AI 解读

We consider sampling with probability proportional to size or aggregate size and derive a number of estimators of the finite population distribution function. The estimators are compared theoretically and empirically. By inverting the distribution function estimators, we obtain estimators of the finite population median. The performance of these median estimators are investigated.