The consistency of bootstrap and jackknife variance estimators for finite population L-statistics

For the linear combinations of order statistics (L-statistics), we present conditions sufficient for the consistency of their finite-population bootstrap variance estimator and the classical jackknife variance estimator.

Bibliographic Details
Main Author: Andrius Čiginas
Format: Article
Language:English
Published: Vilnius University Press 2012-12-01
Series:Lietuvos Matematikos Rinkinys
Subjects:
Online Access:https://www.journals.vu.lt/LMR/article/view/14863
_version_ 1819018295921082368
author Andrius Čiginas
author_facet Andrius Čiginas
author_sort Andrius Čiginas
collection DOAJ
description For the linear combinations of order statistics (L-statistics), we present conditions sufficient for the consistency of their finite-population bootstrap variance estimator and the classical jackknife variance estimator.
first_indexed 2024-12-21T03:17:09Z
format Article
id doaj.art-574dda6103fa4dee830ec692017b7404
institution Directory Open Access Journal
issn 0132-2818
2335-898X
language English
last_indexed 2024-12-21T03:17:09Z
publishDate 2012-12-01
publisher Vilnius University Press
record_format Article
series Lietuvos Matematikos Rinkinys
spelling doaj.art-574dda6103fa4dee830ec692017b74042022-12-21T19:17:48ZengVilnius University PressLietuvos Matematikos Rinkinys0132-28182335-898X2012-12-0153A10.15388/LMR.A.2012.04The consistency of bootstrap and jackknife variance estimators for finite population L-statisticsAndrius Čiginas0Vilnius UniversityFor the linear combinations of order statistics (L-statistics), we present conditions sufficient for the consistency of their finite-population bootstrap variance estimator and the classical jackknife variance estimator.https://www.journals.vu.lt/LMR/article/view/14863finite populationsampling without replacementL-statisticHoeffding decompositionbootstrapjackknife
spellingShingle Andrius Čiginas
The consistency of bootstrap and jackknife variance estimators for finite population L-statistics
Lietuvos Matematikos Rinkinys
finite population
sampling without replacement
L-statistic
Hoeffding decomposition
bootstrap
jackknife
title The consistency of bootstrap and jackknife variance estimators for finite population L-statistics
title_full The consistency of bootstrap and jackknife variance estimators for finite population L-statistics
title_fullStr The consistency of bootstrap and jackknife variance estimators for finite population L-statistics
title_full_unstemmed The consistency of bootstrap and jackknife variance estimators for finite population L-statistics
title_short The consistency of bootstrap and jackknife variance estimators for finite population L-statistics
title_sort consistency of bootstrap and jackknife variance estimators for finite population l statistics
topic finite population
sampling without replacement
L-statistic
Hoeffding decomposition
bootstrap
jackknife
url https://www.journals.vu.lt/LMR/article/view/14863
work_keys_str_mv AT andriusciginas theconsistencyofbootstrapandjackknifevarianceestimatorsforfinitepopulationlstatistics
AT andriusciginas consistencyofbootstrapandjackknifevarianceestimatorsforfinitepopulationlstatistics