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Upper Bounds of Generalized p-values for Testing the Coefficients of Variation of Lognormal Distributions


Paper Type 
Contributed Paper
Title 
Upper Bounds of Generalized p-values for Testing the Coefficients of Variation of Lognormal Distributions
Author 
Rada Somkhuean, Suparat Niwitpong and Sa-aat Niwitpong*
Email 
snw@kmutnb.ac.th
Abstract:
 The coefficient of variation is defined as the ratio of the standard deviation to the mean. It has been widely used to compare the variability between groups of observations. Recently, there have been many researchers proposed tests and confidence intervals for the coefficients of variation of data from normal distribution.  However,  this paper presents the new generalized p-values for testing the single coefficient of variation and the difference between coefficients of variation for lognormal distribution using the generalized p-value developed by Tsui & Weerahandi [16]. Moreover, for each generalized p-value, we derive a closed form expression of its upper bound. Numerical computations illustrate the theoretical results. 

 

Start & End Page 
672 - 682
Received Date 
2014-02-03
Revised Date 
Accepted Date 
2014-04-24
Full Text 
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Keyword 
Upper bound, generalized p-value, coefficient of variation
Volume 
Vol.43 No.3 (APRIL 2016)
DOI 
SDGs
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Chiang Mai Journal of Science

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