Bahadur, R. R. (1955) A characterization of sufficiency Annals of Mathematical Statistics, 26 (2). pp. 286-293. ISSN 0003-4851
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Official URL: http://www.projecteuclid.org/euclid.aoms/117772854...
Related URL: http://dx.doi.org/10.1214/aoms/1177728545
Abstract
The main conclusion of this paper can be described as follows. Consider a statistical decision problem in which certain structural conditions are satisfied, and let T be a statistic on the sample space. Then the class of decision functions which depend on the sample point only through T is essentially complete if and only if T is a sufficient statistic. The structural conditions in question are satisfied in many estimation problems.
Item Type: | Article |
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Source: | Copyright of this article belongs to Institute of Mathematical Statistics. |
ID Code: | 27025 |
Deposited On: | 08 Dec 2010 12:49 |
Last Modified: | 17 May 2016 10:19 |
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