Invariant U-statistics

Hajime Yamato; Yoshihiko Maesono

doi:10.1080/03610928608829307

Invariant U-statistics

Hajime Yamato, Yoshihiko Maesono

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	3253-3263
Number of pages	11
Journal	Communications in Statistics - Theory and Methods
Volume	15
Issue number	11
DOIs	https://doi.org/10.1080/03610928608829307
Publication status	Published - Jan 1 1986
Externally published	Yes

All Science Journal Classification (ASJC) codes

Statistics and Probability

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10.1080/03610928608829307

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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.",

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AB - 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.

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EP - 3263

JO - Communications in Statistics - Theory and Methods

JF - Communications in Statistics - Theory and Methods

IS - 11

ER -

Invariant U-statistics

Abstract

All Science Journal Classification (ASJC) codes

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