CAJ | 학술논문

考虑由服从随机置换概率分布的随机变量扩张集组成的概率模型,利用Stanek文中的方法,给出了单元参数性组合的最优估计和随机效应的最优预测,总体均值的最小方差无偏估计是样本均值;而当单元被取入样本中时,单元参数的最小方差无偏估计是Horvitz-Thompson估计量,否则为零.
고필유복종수궤치환개솔분포적수궤변량확장집조성적개솔모형,이용Stanek문중적방법,급출료단원삼수성조합적최우고계화수궤효응적최우예측,총체균치적최소방차무편고계시양본균치;이당단원피취입양본중시,단원삼수적최소방차무편고계시Horvitz-Thompson고계량,부칙위령.
We consider a probability model which consists of an expanded set of random variables following a random permutation probability distribution that keeps track of both the unit's labels and positions in the permutation. Following the approach of Stanek, we develop optimum estimators of the linear combinations of the unit parameters and optimum predictors of the random effects is developed. The unbiased minimum variance estimator of the population mean is the sample mean and of a unit parameter is the Hovitz-Thompson estimator if the unit is included in the sample, and zero otherwise.