Upper Bound of the Generalized p Value for the Population Variances of Lognormal Distributions with Known Coefficients of Variation

This paper presents an upper bound for each of the generalized p values for testing the one population variance, the difference between two population variances, and the ratio of population variances for lognormal distribution when coefficients of variation are known. For each of the proposed genera...

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Main Authors: Rada Somkhuean, Sa-aat Niwitpong, Suparat Niwitpong
Format: Article
Language:English
Published: Wiley 2017-01-01
Series:Journal of Probability and Statistics
Online Access:http://dx.doi.org/10.1155/2017/4793702
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author Rada Somkhuean
Sa-aat Niwitpong
Suparat Niwitpong
author_facet Rada Somkhuean
Sa-aat Niwitpong
Suparat Niwitpong
author_sort Rada Somkhuean
collection DOAJ
description This paper presents an upper bound for each of the generalized p values for testing the one population variance, the difference between two population variances, and the ratio of population variances for lognormal distribution when coefficients of variation are known. For each of the proposed generalized p values, we derive a closed form expression of the upper bound of the generalized p value. Numerical computations illustrate the theoretical results.
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institution Kabale University
issn 1687-952X
1687-9538
language English
publishDate 2017-01-01
publisher Wiley
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series Journal of Probability and Statistics
spelling doaj-art-e5316db7d41f45caa015e678075203622025-02-03T06:13:18ZengWileyJournal of Probability and Statistics1687-952X1687-95382017-01-01201710.1155/2017/47937024793702Upper Bound of the Generalized p Value for the Population Variances of Lognormal Distributions with Known Coefficients of VariationRada Somkhuean0Sa-aat Niwitpong1Suparat Niwitpong2Department of Applied Statistics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok 10800, ThailandDepartment of Applied Statistics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok 10800, ThailandDepartment of Applied Statistics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok 10800, ThailandThis paper presents an upper bound for each of the generalized p values for testing the one population variance, the difference between two population variances, and the ratio of population variances for lognormal distribution when coefficients of variation are known. For each of the proposed generalized p values, we derive a closed form expression of the upper bound of the generalized p value. Numerical computations illustrate the theoretical results.http://dx.doi.org/10.1155/2017/4793702
spellingShingle Rada Somkhuean
Sa-aat Niwitpong
Suparat Niwitpong
Upper Bound of the Generalized p Value for the Population Variances of Lognormal Distributions with Known Coefficients of Variation
Journal of Probability and Statistics
title Upper Bound of the Generalized p Value for the Population Variances of Lognormal Distributions with Known Coefficients of Variation
title_full Upper Bound of the Generalized p Value for the Population Variances of Lognormal Distributions with Known Coefficients of Variation
title_fullStr Upper Bound of the Generalized p Value for the Population Variances of Lognormal Distributions with Known Coefficients of Variation
title_full_unstemmed Upper Bound of the Generalized p Value for the Population Variances of Lognormal Distributions with Known Coefficients of Variation
title_short Upper Bound of the Generalized p Value for the Population Variances of Lognormal Distributions with Known Coefficients of Variation
title_sort upper bound of the generalized p value for the population variances of lognormal distributions with known coefficients of variation
url http://dx.doi.org/10.1155/2017/4793702
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AT saaatniwitpong upperboundofthegeneralizedpvalueforthepopulationvariancesoflognormaldistributionswithknowncoefficientsofvariation
AT suparatniwitpong upperboundofthegeneralizedpvalueforthepopulationvariancesoflognormaldistributionswithknowncoefficientsofvariation