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On the Edgeworth expansion for elementary polynomials based on trimmed samples

Published online by Cambridge University Press:  17 April 2009

Yuri V. Borovskikh  and
N. C. Weber
Yuri V. Borovskikh
Affiliation:
Department of Applied Mathematics, Transport University, Moskovsky Avenue, 9, 190031 St Petersburg, Russia
N. C. Weber
Affiliation:
School of Mathematics and Statistics F07, University of Sydney, New South Wales 2006, Australia
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This paper develops a one term Edgeworth expansion under minimal conditions for elementary symmetric polynomials of any degree based on trimmed samples. These statistics are special cases of trimmed U-statistics and natural extensions of the trimmed mean.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 71 , Issue 1 , February 2005 , pp. 155 - 166
Copyright
Copyright © Australian Mathematical Society 2005

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