Assessing dominance in survival functions: A test for right-censored data
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866915234730475520 |
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| author | Belzunce, Félix Martínez-Riquelme, Carolina Valenciano, Jaime |
| author_facet | Belzunce, Félix Martínez-Riquelme, Carolina Valenciano, Jaime |
| contents | This paper proposes a new statistical test to assess the dominance of survival functions in the presence of right-censored data. Traditional methods, such as the log-rank test, are inadequate for determining whether one survival function consistently dominates another, especially when survival curves cross. The proposed test is based on the supremum of the difference between Kaplan-Meier estimators and allows for distinguishing between dominance and crossing survival curves. The paper presents the test's asymptotic properties, along with simulations and applications to real datasets. The results demonstrate that the test has high sensitivity for detecting crossings and dominance compared to conventional methods. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_07012 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Assessing dominance in survival functions: A test for right-censored data Belzunce, Félix Martínez-Riquelme, Carolina Valenciano, Jaime Methodology Statistics Theory 60E15, 62P10 This paper proposes a new statistical test to assess the dominance of survival functions in the presence of right-censored data. Traditional methods, such as the log-rank test, are inadequate for determining whether one survival function consistently dominates another, especially when survival curves cross. The proposed test is based on the supremum of the difference between Kaplan-Meier estimators and allows for distinguishing between dominance and crossing survival curves. The paper presents the test's asymptotic properties, along with simulations and applications to real datasets. The results demonstrate that the test has high sensitivity for detecting crossings and dominance compared to conventional methods. |
| title | Assessing dominance in survival functions: A test for right-censored data |
| topic | Methodology Statistics Theory 60E15, 62P10 |
| url | https://arxiv.org/abs/2504.07012 |