A new test for the homogeneity of inverse gaussian scale parameters based on computational approach test
In this paper, we focused on testing homogeneity of scale parameters of k Inverse Gaussian distributions (IGDs) since this distribution is one of the most common distribution for analyzing nonnegative right-skewed data. We have proposed a new test statistic based on the Computational Approach Test (...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Penerbit Universiti Kebangsaan Malaysia
2019
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| Online Access: | http://journalarticle.ukm.my/13902/ http://journalarticle.ukm.my/13902/1/25%20Fikri%20Gokpinar.pdf |
| _version_ | 1848813406385078272 |
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| author | Gül, Hasan Hüseyin Gökpinar, Esra Ebegil, Meral Özdemir, Yaprak Arzu Gökpinar, Fikri |
| author_facet | Gül, Hasan Hüseyin Gökpinar, Esra Ebegil, Meral Özdemir, Yaprak Arzu Gökpinar, Fikri |
| author_sort | Gül, Hasan Hüseyin |
| building | UKM Institutional Repository |
| collection | Online Access |
| description | In this paper, we focused on testing homogeneity of scale parameters of k Inverse Gaussian distributions (IGDs) since this distribution is one of the most common distribution for analyzing nonnegative right-skewed data. We have proposed a new test statistic based on the Computational Approach Test (CAT), which is a type of parametric bootstrap method, for testing homogeneity of scale parameters of k IGDs. Simulation results have been presented to compare the performances of the proposed method and existing methods such as the likelihood ratio test, modified likelihood ratio test and generalized likelihood ratio test in terms of type I error rate and power. The results showed that the proposed CAT is better than the others in terms of the type I error rates and powers in some cases. |
| first_indexed | 2025-11-15T00:17:41Z |
| format | Article |
| id | oai:generic.eprints.org:13902 |
| institution | Universiti Kebangasaan Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T00:17:41Z |
| publishDate | 2019 |
| publisher | Penerbit Universiti Kebangsaan Malaysia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | oai:generic.eprints.org:139022020-01-10T08:55:18Z http://journalarticle.ukm.my/13902/ A new test for the homogeneity of inverse gaussian scale parameters based on computational approach test Gül, Hasan Hüseyin Gökpinar, Esra Ebegil, Meral Özdemir, Yaprak Arzu Gökpinar, Fikri In this paper, we focused on testing homogeneity of scale parameters of k Inverse Gaussian distributions (IGDs) since this distribution is one of the most common distribution for analyzing nonnegative right-skewed data. We have proposed a new test statistic based on the Computational Approach Test (CAT), which is a type of parametric bootstrap method, for testing homogeneity of scale parameters of k IGDs. Simulation results have been presented to compare the performances of the proposed method and existing methods such as the likelihood ratio test, modified likelihood ratio test and generalized likelihood ratio test in terms of type I error rate and power. The results showed that the proposed CAT is better than the others in terms of the type I error rates and powers in some cases. Penerbit Universiti Kebangsaan Malaysia 2019-08 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/13902/1/25%20Fikri%20Gokpinar.pdf Gül, Hasan Hüseyin and Gökpinar, Esra and Ebegil, Meral and Özdemir, Yaprak Arzu and Gökpinar, Fikri (2019) A new test for the homogeneity of inverse gaussian scale parameters based on computational approach test. Sains Malaysiana, 48 (8). pp. 1777-1785. ISSN 0126-6039 http://www.ukm.my/jsm/malay_journals/jilid48bil8_2019/KandunganJilid48Bil8_2019.html |
| spellingShingle | Gül, Hasan Hüseyin Gökpinar, Esra Ebegil, Meral Özdemir, Yaprak Arzu Gökpinar, Fikri A new test for the homogeneity of inverse gaussian scale parameters based on computational approach test |
| title | A new test for the homogeneity of inverse gaussian scale parameters based on computational approach test |
| title_full | A new test for the homogeneity of inverse gaussian scale parameters based on computational approach test |
| title_fullStr | A new test for the homogeneity of inverse gaussian scale parameters based on computational approach test |
| title_full_unstemmed | A new test for the homogeneity of inverse gaussian scale parameters based on computational approach test |
| title_short | A new test for the homogeneity of inverse gaussian scale parameters based on computational approach test |
| title_sort | new test for the homogeneity of inverse gaussian scale parameters based on computational approach test |
| url | http://journalarticle.ukm.my/13902/ http://journalarticle.ukm.my/13902/ http://journalarticle.ukm.my/13902/1/25%20Fikri%20Gokpinar.pdf |