Invariant U-statistics

Hajime Yamato, Yoshihiko Maesono

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

For a class of distributions which are invariant under a group of transformations, we propose an estimator of an estimable parameter. The estimator, which we call the invariant U-statistic, is the uniformly minimum variance unbiased estimator of the corresponding estimable parameter for the class of all continuous distributions which are invariant under the group of transformations.

Original languageEnglish
Pages (from-to)3253-3263
Number of pages11
JournalCommunications in Statistics - Theory and Methods
Volume15
Issue number11
DOIs
Publication statusPublished - Jan 1 1986
Externally publishedYes

Fingerprint

U-statistics
Invariant
Uniformly Minimum Variance Unbiased Estimator
Estimator
Continuous Distributions
Class

All Science Journal Classification (ASJC) codes

  • Statistics and Probability

Cite this

Invariant U-statistics. / Yamato, Hajime; Maesono, Yoshihiko.

In: Communications in Statistics - Theory and Methods, Vol. 15, No. 11, 01.01.1986, p. 3253-3263.

Research output: Contribution to journalArticle

Yamato, Hajime ; Maesono, Yoshihiko. / Invariant U-statistics. In: Communications in Statistics - Theory and Methods. 1986 ; Vol. 15, No. 11. pp. 3253-3263.
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