On some tests for exponentiality based on the mean residual life function
We build on the work of Aly (1983) and Jammalamadaka & Taufer (2006) to developnew tests for exponentiality based on the mean residual life function. We obtain theasymptotic null distributions of the proposed tests and give approximations for theirlimiting critical values. We also give tables of...
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| Format: | Article |
| Language: | English |
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Elsevier
2016-05-01
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| Series: | Kuwait Journal of Science |
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| Online Access: | https://journalskuwait.org/kjs/index.php/KJS/article/view/1216 |
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| _version_ | 1849434271944540160 |
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| author | Suja Mansour Aboukhamseen Emad-Eldin A. A. Aly |
| author_facet | Suja Mansour Aboukhamseen Emad-Eldin A. A. Aly |
| author_sort | Suja Mansour Aboukhamseen |
| collection | DOAJ |
| description | We build on the work of Aly (1983) and Jammalamadaka & Taufer (2006) to developnew tests for exponentiality based on the mean residual life function. We obtain theasymptotic null distributions of the proposed tests and give approximations for theirlimiting critical values. We also give tables of their finite sample Monte Carlo criticalvalues. We report the results of several Monte Carlo studies conducted to compare theproposed tests with a number of their competitors in terms of power. |
| format | Article |
| id | doaj-art-67aea11df06449da915751ff017f89aa |
| institution | Kabale University |
| issn | 2307-4108 2307-4116 |
| language | English |
| publishDate | 2016-05-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Kuwait Journal of Science |
| spelling | doaj-art-67aea11df06449da915751ff017f89aa2025-08-20T03:26:43ZengElsevierKuwait Journal of Science2307-41082307-41162016-05-01432427On some tests for exponentiality based on the mean residual life functionSuja Mansour Aboukhamseen0Emad-Eldin A. A. AlyKuwait UniversityWe build on the work of Aly (1983) and Jammalamadaka & Taufer (2006) to developnew tests for exponentiality based on the mean residual life function. We obtain theasymptotic null distributions of the proposed tests and give approximations for theirlimiting critical values. We also give tables of their finite sample Monte Carlo criticalvalues. We report the results of several Monte Carlo studies conducted to compare theproposed tests with a number of their competitors in terms of power.https://journalskuwait.org/kjs/index.php/KJS/article/view/1216Brownian bridgelimit theoremsMonte Carlo simulations. |
| spellingShingle | Suja Mansour Aboukhamseen Emad-Eldin A. A. Aly On some tests for exponentiality based on the mean residual life function Kuwait Journal of Science Brownian bridge limit theorems Monte Carlo simulations. |
| title | On some tests for exponentiality based on the mean residual life function |
| title_full | On some tests for exponentiality based on the mean residual life function |
| title_fullStr | On some tests for exponentiality based on the mean residual life function |
| title_full_unstemmed | On some tests for exponentiality based on the mean residual life function |
| title_short | On some tests for exponentiality based on the mean residual life function |
| title_sort | on some tests for exponentiality based on the mean residual life function |
| topic | Brownian bridge limit theorems Monte Carlo simulations. |
| url | https://journalskuwait.org/kjs/index.php/KJS/article/view/1216 |
| work_keys_str_mv | AT sujamansouraboukhamseen onsometestsforexponentialitybasedonthemeanresiduallifefunction AT emadeldinaaaly onsometestsforexponentialitybasedonthemeanresiduallifefunction |