Completeness and Unbiased Estimation for Sum-Quota Sampling
研究了在有限总体中按和配额抽样时，最小充分统计量的完备性，并得到了总体参数的一致最小方差无偏估计，其形式类似固定样本量估计但需调整终端观测的抽样偏差。
Random variables, Xi, are sampled sequentially from a finite population until the sum, of the associated nonnegative random variables, Ci' is greater than or equal to a predetermined quota, Q.The objective of this paper is to show that the minimal sufficient statistic described by Pathak (1976,Ann.Statist.4:1012-1017) is also complete and to thereby obtain UMVUE's for population parameters.These estimates are similar to their fixed sample size counterparts except they have an adjustment for the sampling bias of the terminal observation.We also consider an adaptation of double sampling to sum-quota sampling in the bivariate case.X