### Abstract

Original language | English |
---|---|

Title of host publication | Encyclopedia of Environmetrics, 2nd Edition |

Editors | W. Piegorsch, A. El Shaarawi |

Publisher | Wiley |

Pages | 910-915 |

Number of pages | 3510 |

ISBN (Print) | 9780470973882 |

Publication status | Published - 2012 |

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### Cite this

*Encyclopedia of Environmetrics, 2nd Edition*(pp. 910-915). Wiley.

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*Encyclopedia of Environmetrics, 2nd Edition.*Wiley, pp. 910-915.

**Equivariant estimation.** / Hallin, M.; Jurechova, J.

Research output: Chapter in Book/Report/Conference proceeding › Chapter › Scientific › peer-review

TY - CHAP

T1 - Equivariant estimation

AU - Hallin, M.

AU - Jurechova, J.

N1 - Pagination: 3510

PY - 2012

Y1 - 2012

N2 - The concepts of invariance and equivariance of estimators with respect to various groups of transformations of the sample space are defined. The structure and properties of equivariant and minimum risk equivariant estimators are characterized. Emphasis is put on equivariance with respect to shift, scale, and affine transformations.

AB - The concepts of invariance and equivariance of estimators with respect to various groups of transformations of the sample space are defined. The structure and properties of equivariant and minimum risk equivariant estimators are characterized. Emphasis is put on equivariance with respect to shift, scale, and affine transformations.

M3 - Chapter

SN - 9780470973882

SP - 910

EP - 915

BT - Encyclopedia of Environmetrics, 2nd Edition

A2 - Piegorsch, W.

A2 - El Shaarawi, A.

PB - Wiley

ER -