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回顾性抽样问题的高阶精确方法AI 解读

In this paper we discuss the relationship between prospective and retrospective sampling problems. Estimates of the parameter of interest may be obtained by solving suitable estimating equations under both sampling schemes. Most common examples of such estimates include the maximum likelihood estimates. Some classical results and more recent development of the first-order asymptotic relationship between the estimators are reviewed. High-order expansions are given for the…

有限总体分布函数的一种新估计量AI 解读

In this paper we propose a new estimator for the finite population distribution function when there is auxiliary information available about the population. The new estimator has a smaller asymptotic mean squared error than two leading estimators in the literature. In fact, it is in an optimised form in terms of mean squared error. Results are reported for simulation studies on real and artificial populations.