On testing exponentiality under Type-I censoring
Two new goodness-of-fit testing procedures are introduced to test exponentiality when data are subject to Type-I censoring. We proposed four test statistics for this purpose. Under extensive Monte Carlo simulations, we showed that the proposed tests maintain the nominal significance level and show g...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Frontiers Media S.A.
2023-02-01
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| Series: | Frontiers in Applied Mathematics and Statistics |
| Subjects: | |
| Online Access: | https://www.frontiersin.org/articles/10.3389/fams.2023.1113477/full |
| _version_ | 1811164205793935360 |
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| author | Reza Pakyari Omama M. Al-Hamed |
| author_facet | Reza Pakyari Omama M. Al-Hamed |
| author_sort | Reza Pakyari |
| collection | DOAJ |
| description | Two new goodness-of-fit testing procedures are introduced to test exponentiality when data are subject to Type-I censoring. We proposed four test statistics for this purpose. Under extensive Monte Carlo simulations, we showed that the proposed tests maintain the nominal significance level and show good power for both monotonic and non-monotonic hazard function alternatives even for small samples as n = 10. A real dataset is studied for illustrative purposes. |
| first_indexed | 2024-04-10T15:17:41Z |
| format | Article |
| id | doaj.art-d8e63dd0da4d46e5876262e7b7c33513 |
| institution | Directory Open Access Journal |
| issn | 2297-4687 |
| language | English |
| last_indexed | 2024-04-10T15:17:41Z |
| publishDate | 2023-02-01 |
| publisher | Frontiers Media S.A. |
| record_format | Article |
| series | Frontiers in Applied Mathematics and Statistics |
| spelling | doaj.art-d8e63dd0da4d46e5876262e7b7c335132023-02-14T18:19:55ZengFrontiers Media S.A.Frontiers in Applied Mathematics and Statistics2297-46872023-02-01910.3389/fams.2023.11134771113477On testing exponentiality under Type-I censoringReza PakyariOmama M. Al-HamedTwo new goodness-of-fit testing procedures are introduced to test exponentiality when data are subject to Type-I censoring. We proposed four test statistics for this purpose. Under extensive Monte Carlo simulations, we showed that the proposed tests maintain the nominal significance level and show good power for both monotonic and non-monotonic hazard function alternatives even for small samples as n = 10. A real dataset is studied for illustrative purposes.https://www.frontiersin.org/articles/10.3389/fams.2023.1113477/fullbeta distributionbinomial distributionexponential distributiongoodness-of-fit testingmaximum likelihood estimatororder statistics |
| spellingShingle | Reza Pakyari Omama M. Al-Hamed On testing exponentiality under Type-I censoring Frontiers in Applied Mathematics and Statistics beta distribution binomial distribution exponential distribution goodness-of-fit testing maximum likelihood estimator order statistics |
| title | On testing exponentiality under Type-I censoring |
| title_full | On testing exponentiality under Type-I censoring |
| title_fullStr | On testing exponentiality under Type-I censoring |
| title_full_unstemmed | On testing exponentiality under Type-I censoring |
| title_short | On testing exponentiality under Type-I censoring |
| title_sort | on testing exponentiality under type i censoring |
| topic | beta distribution binomial distribution exponential distribution goodness-of-fit testing maximum likelihood estimator order statistics |
| url | https://www.frontiersin.org/articles/10.3389/fams.2023.1113477/full |
| work_keys_str_mv | AT rezapakyari ontestingexponentialityundertypeicensoring AT omamamalhamed ontestingexponentialityundertypeicensoring |