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This is the preliminary program for the 2007 Joint Statistical Meetings in Salt Lake City, Utah.

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Activity Number: 261
Type: Invited
Date/Time: Tuesday, July 31, 2007 : 10:30 AM to 12:20 PM
Sponsor: IMS
Abstract - #308058
Title: Sufficiency and the Preservation of Fisher Information
Author(s): David Pollard*+
Companies: Yale University
Address: Box 208290 Yale Station, New Haven, CT, 06520,
Keywords: Fisher information ; DQM
Abstract:

The Fisher information (FI) for a set of data is never smaller than the FI for some function of the data, T(data), with equality at least when T is a sufficient statistic. Recently, Kagan and Shepp (2005 Amer. Statistician) gave an example of an insufficient statistic for which FI(data) = FI(T). This talk will explore the relationship between loss of FI and sufficiency, when expressed using Hellinger differentiability and Le Cam's theory for equivalence of experiments.


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Revised September, 2007