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Fisher information and Stam inequality on a finite group ( Bull . London . Math . Soc . 40 (2008) 855–862)

Fisher information and Stam inequality on a finite group ( Bull . London . Math . Soc . 40 (2008)... Bull. London Math. Soc. 42 (2010) 973 e 2010 London Mathematical Society doi:10.1112/blms/bdq067 Editorial statement Fisher information and Stam inequality on a finite group (Bull. London Math. Soc. 40 (2008) 855­862) The editors thank the authors of the paper [2] for pointing out an error in the paper. The Stam inequality 1 IX+Y 1 1 + , IX IY is known to hold on finite cyclic groups and on the circle. The proof uses a conditional expectation property of the Fisher score. Lemma 3.1 in [2], extending this to finite groups, is not correct as stated, and the claimed Stam-like inequality does not hold for finite non-abelian groups. A detailed discussion and counterexamples may be found in [1]. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Bulletin of the London Mathematical Society Oxford University Press

Fisher information and Stam inequality on a finite group ( Bull . London . Math . Soc . 40 (2008) 855–862)

Fisher information and Stam inequality on a finite group ( Bull . London . Math . Soc . 40 (2008) 855–862)

Bulletin of the London Mathematical Society , Volume 42 (6) – Dec 1, 2010

Abstract

Bull. London Math. Soc. 42 (2010) 973 e 2010 London Mathematical Society doi:10.1112/blms/bdq067 Editorial statement Fisher information and Stam inequality on a finite group (Bull. London Math. Soc. 40 (2008) 855­862) The editors thank the authors of the paper [2] for pointing out an error in the paper. The Stam inequality 1 IX+Y 1 1 + , IX IY is known to hold on finite cyclic groups and on the circle. The proof uses a conditional expectation property of the Fisher score. Lemma 3.1 in [2], extending this to finite groups, is not correct as stated, and the claimed Stam-like inequality does not hold for finite non-abelian groups. A detailed discussion and counterexamples may be found in [1].

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References (2)

Publisher
Oxford University Press
Copyright
© 2010 London Mathematical Society
Subject
EDITORIAL STATEMENT
ISSN
0024-6093
eISSN
1469-2120
DOI
10.1112/blms/bdq067
Publisher site
See Article on Publisher Site

Abstract

Bull. London Math. Soc. 42 (2010) 973 e 2010 London Mathematical Society doi:10.1112/blms/bdq067 Editorial statement Fisher information and Stam inequality on a finite group (Bull. London Math. Soc. 40 (2008) 855­862) The editors thank the authors of the paper [2] for pointing out an error in the paper. The Stam inequality 1 IX+Y 1 1 + , IX IY is known to hold on finite cyclic groups and on the circle. The proof uses a conditional expectation property of the Fisher score. Lemma 3.1 in [2], extending this to finite groups, is not correct as stated, and the claimed Stam-like inequality does not hold for finite non-abelian groups. A detailed discussion and counterexamples may be found in [1].

Journal

Bulletin of the London Mathematical SocietyOxford University Press

Published: Dec 1, 2010

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