Comparison of nonparametric estimates of the survival functions
The article compares three types of estimates: exponential, multiplying and power structures for the survival function of three random censoring observations on the right. It was previously established that all these three estimates are equivalent with a growing sample size, i.e. three with the same...
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| Format: | Article |
| Language: | English |
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Samara National Research University
2023-10-01
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| Series: | Вестник Самарского университета: Естественнонаучная серия |
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| Online Access: | https://journals.ssau.ru/est/article/viewFile/27064/10241 |
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| author | Abdurakhim A. Abdushukurov Sukhrob B. Bozorov |
| author_facet | Abdurakhim A. Abdushukurov Sukhrob B. Bozorov |
| author_sort | Abdurakhim A. Abdushukurov |
| collection | DOAJ |
| description | The article compares three types of estimates: exponential, multiplying and power structures for the survival function of three random censoring observations on the right. It was previously established that all these three estimates are equivalent with a growing sample size, i.e. three with the same centering and normalization converge to the same Gaussian process. For specific samples, it is shown that power estimates are defined on the entire line, in contrast to exponential and multiply estimates. Therefore, power estimates are better than the other two. Censored data is used in survival analyses, biomedical trials, and industrial experiments. There are several censoring schemes (right, left, both sides, combined with competing risks, and others). However, right-sided random censoring is common in the statistical literature because it is easy to describe from a methodological point of view. Here we also consider this type of censoring, to compare our results with others. |
| format | Article |
| id | doaj-art-e647f5cd753d472c95c930fe3c6026b7 |
| institution | OA Journals |
| issn | 2541-7525 2712-8954 |
| language | English |
| publishDate | 2023-10-01 |
| publisher | Samara National Research University |
| record_format | Article |
| series | Вестник Самарского университета: Естественнонаучная серия |
| spelling | doaj-art-e647f5cd753d472c95c930fe3c6026b72025-08-20T01:52:44ZengSamara National Research UniversityВестник Самарского университета: Естественнонаучная серия2541-75252712-89542023-10-01293727810.18287/2541-7525-2023-29-3-72-788785Comparison of nonparametric estimates of the survival functionsAbdurakhim A. Abdushukurov0https://orcid.org/0000-0002-0994-8127Sukhrob B. Bozorov1https://orcid.org/0009-0001-8133-4963Lomonosov Moscow State University, Tashkent branchGulistan State UniversityThe article compares three types of estimates: exponential, multiplying and power structures for the survival function of three random censoring observations on the right. It was previously established that all these three estimates are equivalent with a growing sample size, i.e. three with the same centering and normalization converge to the same Gaussian process. For specific samples, it is shown that power estimates are defined on the entire line, in contrast to exponential and multiply estimates. Therefore, power estimates are better than the other two. Censored data is used in survival analyses, biomedical trials, and industrial experiments. There are several censoring schemes (right, left, both sides, combined with competing risks, and others). However, right-sided random censoring is common in the statistical literature because it is easy to describe from a methodological point of view. Here we also consider this type of censoring, to compare our results with others.https://journals.ssau.ru/est/article/viewFile/27064/10241estimatorsrandom censorship from the rightsurvival functionconfidence bands |
| spellingShingle | Abdurakhim A. Abdushukurov Sukhrob B. Bozorov Comparison of nonparametric estimates of the survival functions Вестник Самарского университета: Естественнонаучная серия estimators random censorship from the right survival function confidence bands |
| title | Comparison of nonparametric estimates of the survival functions |
| title_full | Comparison of nonparametric estimates of the survival functions |
| title_fullStr | Comparison of nonparametric estimates of the survival functions |
| title_full_unstemmed | Comparison of nonparametric estimates of the survival functions |
| title_short | Comparison of nonparametric estimates of the survival functions |
| title_sort | comparison of nonparametric estimates of the survival functions |
| topic | estimators random censorship from the right survival function confidence bands |
| url | https://journals.ssau.ru/est/article/viewFile/27064/10241 |
| work_keys_str_mv | AT abdurakhimaabdushukurov comparisonofnonparametricestimatesofthesurvivalfunctions AT sukhrobbbozorov comparisonofnonparametricestimatesofthesurvivalfunctions |