Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2022 15 (3)
- Authors
- Abdushukurov, Abdurahim A.; Saifulloeva, Gulnoz S.
- Contact information
- Abdushukurov, Abdurahim A.: Moscow State University named after M. V. Lomonosov, Tashkent Branch Tashkent, Uzbekistan; ; Saifulloeva, Gulnoz S.: Navoi State Pedagogical Institute Navoi, Uzbekistan;
- Keywords
- censored data; competing risks; empirical estimates; Kac estimate; strong approximation; Gaussian process; characteristic function
- Abstract
A general random censorship model is considered in the paper. Approximation results are proved for empirical Kac processes. This model includes important special cases such as random censorship on the right and competing risks model. The obtained results use strong approximation theory and optimal approximation rates are built. Cumulative hazard processes are also investigated in a similar manner in the general setting. These results are also used for estimating of characteristic functions in random censorship model on the right
- Pages
- 292–307
- DOI
- 10.17516/1997-1397-2022-15-3-292-307
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/145502
Journal of Siberian Federal University. Mathematics & Physics / On Approximation of Empirical Kac Processes under General Random Censorship Model
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