This paper mainly addresses maximum likelihood estimation for a response-selective stratified sampling scheme, the basic stratified sampling (BSS), in which the maximum subsample size in each stratum is fixed. We deri...This paper mainly addresses maximum likelihood estimation for a response-selective stratified sampling scheme, the basic stratified sampling (BSS), in which the maximum subsample size in each stratum is fixed. We derived the complete-data likelihood for BSS, and extended it as a full-data likelihood by incorporating incomplete data. We also similarly extended the empirical proportion likelihood approach for consistent and efficient estimation. We conducted a simulation study to compare these two new approaches with the existing estimation methods in BSS. Our result indicates that they perform as well as the standard full information likelihood approach. Methods were illustrated using a growth model for fish size at age, including between-individual variability. One of our major conclusions is that the fully observed BSS data, the partially observed data used for stratification, and the sampling strategy are all important in constructing a consistent and efficient estimator.展开更多
了解星系对的空间分布和随时间的演化是研究星系的形成和演化的重要手段之一,而其中完备星系对样本的选择是研究的关键.比起光学波段,在红外波段选择和观测星系对有很多优势.介绍了利用红外望远镜Spitzer卫星的SWIRE(the Spitzer Wide-a...了解星系对的空间分布和随时间的演化是研究星系的形成和演化的重要手段之一,而其中完备星系对样本的选择是研究的关键.比起光学波段,在红外波段选择和观测星系对有很多优势.介绍了利用红外望远镜Spitzer卫星的SWIRE(the Spitzer Wide-area Infra Red Extragalactic survey)数据选择完备星系对样本的新方法,比较分析了星系对选源标准,得到了初步星系对样本.展开更多
文摘This paper mainly addresses maximum likelihood estimation for a response-selective stratified sampling scheme, the basic stratified sampling (BSS), in which the maximum subsample size in each stratum is fixed. We derived the complete-data likelihood for BSS, and extended it as a full-data likelihood by incorporating incomplete data. We also similarly extended the empirical proportion likelihood approach for consistent and efficient estimation. We conducted a simulation study to compare these two new approaches with the existing estimation methods in BSS. Our result indicates that they perform as well as the standard full information likelihood approach. Methods were illustrated using a growth model for fish size at age, including between-individual variability. One of our major conclusions is that the fully observed BSS data, the partially observed data used for stratification, and the sampling strategy are all important in constructing a consistent and efficient estimator.
文摘了解星系对的空间分布和随时间的演化是研究星系的形成和演化的重要手段之一,而其中完备星系对样本的选择是研究的关键.比起光学波段,在红外波段选择和观测星系对有很多优势.介绍了利用红外望远镜Spitzer卫星的SWIRE(the Spitzer Wide-area Infra Red Extragalactic survey)数据选择完备星系对样本的新方法,比较分析了星系对选源标准,得到了初步星系对样本.