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December, 1952 Bhattacharyya Bounds without Regularity Assumptions
D. A. S. Fraser, Irwin Guttman
Ann. Math. Statist. 23(4): 629-632 (December, 1952). DOI: 10.1214/aoms/1177729344


In [1] a method for removing the regularity conditions from the Cramer-Rao Inequality was given and applied to the estimation of a single real parameter. It was noted there that the method would extend to problems more general than estimating a single real parameter. However, the method extends also for the estimation of a single real parameter and produces analogues of the Bhattacharyya bounds with and without nuisance parameters.


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D. A. S. Fraser. Irwin Guttman. "Bhattacharyya Bounds without Regularity Assumptions." Ann. Math. Statist. 23 (4) 629 - 632, December, 1952.


Published: December, 1952
First available in Project Euclid: 28 April 2007

zbMATH: 0048.12002
MathSciNet: MR55630
Digital Object Identifier: 10.1214/aoms/1177729344

Rights: Copyright © 1952 Institute of Mathematical Statistics

Vol.23 • No. 4 • December, 1952
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