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采用一元辅助信息的多元二相抽样的比估计
引用本文:卢静莉,闫在在,丁昌江. 采用一元辅助信息的多元二相抽样的比估计[J]. 内蒙古工业大学学报, 2009, 28(4): 252-257
作者姓名:卢静莉  闫在在  丁昌江
作者单位:内蒙古工业大学理学院,呼和浩特010051
基金项目:基金项目:国家自然科学基金项目(10761004),内蒙古工业大学校基金项目(X200832)
摘    要:
一元抽样调查的理论已经发展相对成熟.但实际问题中往往涉及多个指标,一元理论不能满足需要.本文研究了多元二相抽样,并且在多元二相抽样中添加了一元辅助信息。定义了采用一元辅助信息的多元比估计,得到了采用一元辅助信息的多元二相抽样的比估汁量及其性质.并且证明了在满足一定条件时.采用一元辅助信息的多元二相抽样的比估计量优于多元简单随机抽样的简单估计量.

关 键 词:简单随机抽样  二相抽样  辅助信息  比估计

THE RATIO ESTIMATION OF MULTIVARIATE TWO-PHASE SAMPLING WITH USE OF SINGLE AUXILIARY INFORMATION
LU Jing-li,YAN Zai-zai,DING Changjiang. THE RATIO ESTIMATION OF MULTIVARIATE TWO-PHASE SAMPLING WITH USE OF SINGLE AUXILIARY INFORMATION[J]. Journal of Inner Mongolia Polytechnic University(Social Sciences Edition), 2009, 28(4): 252-257
Authors:LU Jing-li  YAN Zai-zai  DING Changjiang
Affiliation:(School of Science ,Inner Mongolia University of Technology, Hoh hot 010051, China )
Abstract:
Presently, the single sampling survey has already usually too many indexes are involved which makes it difficult for come to maturity, but, in practice, the survey to deal with. To meet need of survey, multivariate two-phase sampling complemented with single auxiliary informatio developed. The multivariate ratio estimation with use of single auxiliary information is defined and estimator is attained two-phase sampling It is proved that under complemented with sin the n is specific conditions, the ratio estimator of multivariate gle auxiliary information is better than the simple estimator of multivariate simple random sampling.
Keywords:simple random sampling  two-phase sampling  auxiliary information  ratio estimator
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