论文检索

有限总体抽样的新方法：第一部分，充分性与线性估计AI 解读

Summary Barnard (1963) introduced the concept of linear sufficiency in connection with the Gauss-Markov set-up of estimation. In the present article the concept of linear sufficiency is redefined to suit the problem of estimation in survey sampling where, as demonstrated by the present author (Godambe, 1955, 1965), the Gauss-Markov set-up is fundamentally inapplicable. According to this redefined concept, a certain estimator is shown to be uniquely (up to a constant…

有限总体抽样的统一理论AI 解读

Summary The most general type of linear estimate is defined for a general sampling design. It is demonstrated that an unbiased linear estimate with least variance does not exist uniquely for the entire class of linear estimates. A slightly modified criterion for best estimate, with reference to certain given prior information is proposed. Some sampling designs have been analysed accordingly.