On the generalisation of Quatember’s bootstrap

Tomasz Żądło

doi:10.21307/stattrans-2021-009

On the generalisation of Quatember’s bootstrap

Tomasz Żądło University of Economics in Katowice, Katowice, Poland ORCID:https://orcid.org/0000-0003-0638-0748 Statistics in Transition new series, vol. 22, 2021, 1, pages: 163–178 Published online: 3 March 2021 DOI 10.21307/stattrans-2021-009

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ABSTRACT

The problem of the estimation of the design-variance and the design-MSE of different estimators and predictors is considered. Bootstrap algorithms applicable to complex sampling designs are used. A generalisation of the bootstrap procedure studied by Quatember (2014) is proposed. In most of the cases considered in our simulation study it leads to more accurate estimates (or to very similar ones in remaining cases) of the design- MSE and the design-variance compared with the original algorithm and its other counteparts.

KEYWORDS

bootstrap for complex sampling designs, variance estimation, MSE estimation

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