Bootstrap, jackknife and Edgeworth approximations for finite population L-statistics
Articles
Andrius Čiginas
Vilnius University
Published 2010-12-21
https://doi.org/10.15388/LMR.2010.71
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Keywords

finite population
sampling without replacement
L-statistic
Hoeffding decomposition
bootstrap
jackknife
Edgeworth expansion

How to Cite

Čiginas A. (2010) “Bootstrap, jackknife and Edgeworth approximations for finite population L-statistics”, Lietuvos matematikos rinkinys, 51(proc. LMS), pp. 391–396. doi: 10.15388/LMR.2010.71.

Abstract

In this paper we give exact bootstrap estimators for the parameters defining one-term Edgeworth expansion of distribution function of finite population L-statistic and compare these estimators with corresponding jackknife estimators. We also compare `````` true’ distribution of L-statistic with its normal approximation, Edgeworth expansion, empirical Edgeworth expansion and bootstrap approximation.

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