One-term Edgeworth expansion for finite population U-statistics of degree two
Bloznelis M, Götze F (1999)
ACTA APPLICANDAE MATHEMATICAE 58(1-3): 75-90.
Zeitschriftenaufsatz
| Veröffentlicht | Englisch
Download
Es wurden keine Dateien hochgeladen. Nur Publikationsnachweis!
Autor*in
Bloznelis, M;
Götze, FriedrichUniBi
Einrichtung
Abstract / Bemerkung
By means of Hoeffding's decomposition, we represent a finite population U-statistic of degree two by the sum of a linear and a quadratic part. Assuming that the linear part is nondegenerate, we prove the validity of one-term Edgeworth expansion for the distribution function of the statistic under the optimal (minimal) conditions on the linear part and 2 + delta moment condition on the quadratic part. No condition is imposed on the ratio N / n, where N, respectively n, denotes the sample size respectively the population size.
Stichworte
U-statistic;
Edgeworth expansion;
finite population
Erscheinungsjahr
1999
Zeitschriftentitel
ACTA APPLICANDAE MATHEMATICAE
Band
58
Ausgabe
1-3
Seite(n)
75-90
ISSN
0167-8019
Page URI
https://pub.uni-bielefeld.de/record/1621192
Zitieren
Bloznelis M, Götze F. One-term Edgeworth expansion for finite population U-statistics of degree two. ACTA APPLICANDAE MATHEMATICAE. 1999;58(1-3):75-90.
Bloznelis, M., & Götze, F. (1999). One-term Edgeworth expansion for finite population U-statistics of degree two. ACTA APPLICANDAE MATHEMATICAE, 58(1-3), 75-90. https://doi.org/10.1023/A:1006317230342
Bloznelis, M, and Götze, Friedrich. 1999. “One-term Edgeworth expansion for finite population U-statistics of degree two”. ACTA APPLICANDAE MATHEMATICAE 58 (1-3): 75-90.
Bloznelis, M., and Götze, F. (1999). One-term Edgeworth expansion for finite population U-statistics of degree two. ACTA APPLICANDAE MATHEMATICAE 58, 75-90.
Bloznelis, M., & Götze, F., 1999. One-term Edgeworth expansion for finite population U-statistics of degree two. ACTA APPLICANDAE MATHEMATICAE, 58(1-3), p 75-90.
M. Bloznelis and F. Götze, “One-term Edgeworth expansion for finite population U-statistics of degree two”, ACTA APPLICANDAE MATHEMATICAE, vol. 58, 1999, pp. 75-90.
Bloznelis, M., Götze, F.: One-term Edgeworth expansion for finite population U-statistics of degree two. ACTA APPLICANDAE MATHEMATICAE. 58, 75-90 (1999).
Bloznelis, M, and Götze, Friedrich. “One-term Edgeworth expansion for finite population U-statistics of degree two”. ACTA APPLICANDAE MATHEMATICAE 58.1-3 (1999): 75-90.
Export
Markieren/ Markierung löschen
Markierte Publikationen
Web of Science
Dieser Datensatz im Web of Science®Suchen in
Google Scholar