An information-theoretic approach to effective inference for Z-functionals |
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Authors: | Chang Chun Wu Run Chu Zhang |
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Institution: | [1]College of Mathematics and Information Engineering, Jiaxing University, Jiaxing 314001, P. R. China [2]KLAS and School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, P. R. China [3]LMPC and School of Mathematical Sciences, Nankai University, Tianjin 300071, P. R. China |
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Abstract: | In this paper, through an information-theoretic approach, we construct estimations and confidence intervals of Z-functionals
involving finite population and with the presence of auxiliary information. In particular, we give a method of estimating
the variance of finite population with known mean. The modified estimates and confidence intervals for Z-functionals can adequately
use the auxiliary information, at least not worse than what the standard ones do. A simulation study is presented to assess
the performance of the modified estimates for the finite sample case. |
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Keywords: | confidence interval finite population modified Z-estimates information-theoretic approach Z-functional |
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