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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Format: | Article |
Language: | English |
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Wiley
2017-01-01
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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. |
format | Article |
id | doaj-art-e5316db7d41f45caa015e67807520362 |
institution | Kabale University |
issn | 1687-952X 1687-9538 |
language | English |
publishDate | 2017-01-01 |
publisher | Wiley |
record_format | Article |
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 |
work_keys_str_mv | AT radasomkhuean upperboundofthegeneralizedpvalueforthepopulationvariancesoflognormaldistributionswithknowncoefficientsofvariation AT saaatniwitpong upperboundofthegeneralizedpvalueforthepopulationvariancesoflognormaldistributionswithknowncoefficientsofvariation AT suparatniwitpong upperboundofthegeneralizedpvalueforthepopulationvariancesoflognormaldistributionswithknowncoefficientsofvariation |