Orthogonal decomposition of finite population statistics and its applications to distributional asymptotics
Bloznelis M, Götze F (2001)
ANNALS OF STATISTICS 29(3): 899-917.
Zeitschriftenaufsatz
| Veröffentlicht | Englisch
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Autor*in
Bloznelis, M;
Götze, FriedrichUniBi
Einrichtung
Abstract / Bemerkung
We study orthogonal decomposition of symmetric statistics based on samples drawn without replacement from finite populations. Several applications to finite population statistics are given: we establish one-term Edgeworth expansions for general asymptotically normal symmetric statistics, prove an Efron-Stein inequality and the consistency of the jackknife estimator of variance. Our expansions provide second order a.s. approximations to Wu's jackknife histogram.
Stichworte
stochastic;
ANOVA;
Hoeffding decomposition;
sampling without replacement;
finite;
population;
asymptotic expansion;
Edgeworth expansion;
Efron-Stein inequality;
jackknife histogram;
jackknife estimator of variance;
expansion
Erscheinungsjahr
2001
Zeitschriftentitel
ANNALS OF STATISTICS
Band
29
Ausgabe
3
Seite(n)
899-917
ISSN
0090-5364
Page URI
https://pub.uni-bielefeld.de/record/1615952
Zitieren
Bloznelis M, Götze F. Orthogonal decomposition of finite population statistics and its applications to distributional asymptotics. ANNALS OF STATISTICS. 2001;29(3):899-917.
Bloznelis, M., & Götze, F. (2001). Orthogonal decomposition of finite population statistics and its applications to distributional asymptotics. ANNALS OF STATISTICS, 29(3), 899-917.
Bloznelis, M, and Götze, Friedrich. 2001. “Orthogonal decomposition of finite population statistics and its applications to distributional asymptotics”. ANNALS OF STATISTICS 29 (3): 899-917.
Bloznelis, M., and Götze, F. (2001). Orthogonal decomposition of finite population statistics and its applications to distributional asymptotics. ANNALS OF STATISTICS 29, 899-917.
Bloznelis, M., & Götze, F., 2001. Orthogonal decomposition of finite population statistics and its applications to distributional asymptotics. ANNALS OF STATISTICS, 29(3), p 899-917.
M. Bloznelis and F. Götze, “Orthogonal decomposition of finite population statistics and its applications to distributional asymptotics”, ANNALS OF STATISTICS, vol. 29, 2001, pp. 899-917.
Bloznelis, M., Götze, F.: Orthogonal decomposition of finite population statistics and its applications to distributional asymptotics. ANNALS OF STATISTICS. 29, 899-917 (2001).
Bloznelis, M, and Götze, Friedrich. “Orthogonal decomposition of finite population statistics and its applications to distributional asymptotics”. ANNALS OF STATISTICS 29.3 (2001): 899-917.
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