An Information-Theoretic Approach to Effective Inference for Z-functionals

<正> In this paper, through an information-theoretic approach, we construct estimations andconfidence intervals of Z-functionals involving finite population and with the presence of auxiliaryinformation. In particular, we give a method of estimating the variance of finite population withknown mean. The modified estimates and confidence intervals for Z-functionals can adequately usethe auxiliary information, at least not worse than what the standard ones do. A simulation study ispresented to assess the performance of the modified estimates for the finite sample case.