[Rank-Based Robust Analysis of Linear Models. I. Exposition and Review]: Comment

Hettmansperger, Thomas P.; Aubuchon, James C.

doi:10.1214/ss/1177012918

Search citation statements

Order By: Relevance

Paper Sections

Select...

ý ý ý1

Introduction1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

1997

2018

Publication Types

Select...

Article3

Other1

Relationship

Self Cite0

Independent4

Authors

Journals

Cited by 3 publications

(2 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…case the usual univariate concepts of sign, centered rank and signed-rank are w Ž .x obtained Hettmansperger and Aubuchon 1988 .…”

Section: ý ý ýmentioning

confidence: 99%

On the efficiency of multivariate spatial sign and rank tests

Möttönen¹,

Oja²,

Tienari³

1997

Ann. Statist.

View full text Add to dashboard Cite

Asymptotic Pitman efficiencies of multivariate spatial sign and rank methods are considered in the one-sample location case. Limiting distributions of the spatial sign and signed-rank tests under the null hypothesis as well as under contiguous sequences of alternatives are given. Formulae for asymptotic relative efficiencies are found and, under multivariate t distributions, relative efficiencies with respect to Hotelling's T 2 test are calculated.

show abstract

“…case the usual univariate concepts of sign, centered rank and signed-rank are w Ž .x obtained Hettmansperger and Aubuchon 1988 .…”

Section: ý ý ýmentioning

confidence: 99%

On the efficiency of multivariate spatial sign and rank tests

Möttönen¹,

Oja²,

Tienari³

1997

Ann. Statist.

View full text Add to dashboard Cite

show abstract

“…See Hettmansperger & Aubuchon (1988). The objective function (4) (when applied to the residuals) generates LAD-methods, different median-type estimates and sign tests in the one-sample, two-sample, c-sample and general linear model setttings.…”

Section: Introductionmentioning

confidence: 99%

Affine Invariant Multivariate Sign and Rank Tests and Corresponding Estimates: a Review

Oja

1999

Scandinavian J Statistics

View full text Add to dashboard Cite

The paper reviews recent contributions to the statistical inference methods, tests and estimates, based on the generalized median of Oja. Multivariate analogues of sign and rank concepts, af®ne invariant one-sample and two-sample sign tests and rank tests, af®ne equivariant median and Hodges±Lehmann-type estimates are reviewed and discussed. Some comparisons are made to other generalizations. The theory is illustrated by two examples.

show abstract

Nonparametric Measures of Multivariate Correlation

Shevlyakov

Oja

2016

Robust Correlation

View full text Add to dashboard Cite

[Rank-Based Robust Analysis of Linear Models. I. Exposition and Review]: Comment

Cited by 3 publications

References 0 publications

On the efficiency of multivariate spatial sign and rank tests

On the efficiency of multivariate spatial sign and rank tests

Affine Invariant Multivariate Sign and Rank Tests and Corresponding Estimates: a Review

Nonparametric Measures of Multivariate Correlation

Contact Info

Product

Resources

About