Confidence bounds and hypothesis tests for normal distribution coefficients of variation

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S. P Verrill
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Last edited by Tom Morris
September 22, 2022 | History

Confidence bounds and hypothesis tests for normal distribution coefficients of variation

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For normally distributed populations, we obtain confidence bounds on a ratio of two coefficients of variation, provide a test for the equality of k coefficients of variation, and provide confidence bounds on a coefficient of variation shared by k populations. To develop these confidence bounds and test, we first establish that estimators based on Newton steps from [the square root of n]-consistent estimators may be used in place of efficient solutions of the likelihood equations in likelihood ratio, Wald, and Rao tests. Taking a quadratic mean differentiability approach, Lehmann and Romano have outlined proofs of similar results. We take a Cramér condition approach and make the conditions and their use explicit. Keywords: coefficient of variation, signal to noise ratio, risk to return ratio, one-step Newton estimators, Newton's method, [the square root of n]-consistent estimators, efficient likelihood estimators, Cramér conditions, quadratic mean differentiability, likelihood ratio test, Wald test, Rao test, asymptotics.

Publish Date
Language
English
Pages
57

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Edition Notes

Cover title.

"September 2007"--P. [2] of cover.

Includes bibliographical references (p. 11-12).

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Published in
Madison, WI
Series
Research paper FPL-RP -- 638.

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57 p. :
Number of pages
57

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OL16153937M

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Download catalog record: RDF / JSON
September 22, 2022 Edited by Tom Morris merge authors
January 21, 2010 Edited by WorkBot add subjects and covers
December 11, 2009 Created by WorkBot add works page