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- W2972384362 abstract "We address simultaneous inference for mixed parameters which are the key ingredients in small area estimation. We assume linear mixed model framework. Firstly, we analyse statistical properties of a max-type statistic and use it to construct simultaneous prediction intervals as well as to implement multiple testing procedure. Secondly, we derive bands based on the volume-of-tube formula. In addition, we adapt some of the simultaneous inference methods from regression and nonparametric curve estimation and compare them with our approaches. Simultaneous intervals are necessary to compare clusters since the presently available intervals are not statistically valid for such analysis. The proposed testing procedures can be used to validate certain statements about the set of mixed parameters or to test pairwise differences. Our proposal is accompanied by simulation experiments and a data example on small area household incomes. Both of them demonstrate an excellent performance and utility of our techniques." @default.
- W2972384362 created "2019-09-19" @default.
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- W2972384362 date "2019-03-07" @default.
- W2972384362 modified "2023-09-27" @default.
- W2972384362 title "Simultaneous inference for mixed and small area parameters" @default.
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