Buy this book
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.
Buy this book
Edition | Availability |
---|---|
1
Confidence bounds and hypothesis tests for normal distribution coefficients of variation
2007, USDA, Forest Service, Forest Products Laboratory
in English
|
aaaa
|
Book Details
Edition Notes
Cover title.
"September 2007"--P. [2] of cover.
Includes bibliographical references (p. 11-12).
Also available on the World Wide Web.
The Physical Object
Edition Identifiers
Work Identifiers
Community Reviews (0)
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 |