Asymptotic properties of modified empirical Kac processes under general random censorship model
In this paper, we consider a general random censorship model and prove asymptotic properties of modified empirical Kac processes. This model includes such important special cases as random censorship on the right and competing risks model. Our results use strong approximation method. Cumulative hazard processes also investigated in a similar manner in the general setting. Contribution of the authors: the authors contributed equally to this article. The authors declare no conflicts of interests.
Keywords
censored data, empirical estimates, Kac estimate, strong approximation, Gaussian processAuthors
Name | Organization | |
Abdushukurov Abdurakhim A. | Moscow State University named after M.V.Lomonosov | a_abdushukurov@rambler.ru |
Sayfulloyeva Gulnoz S. | Navoi State Pedagogical Institute | sayfullayevagulnoz@gmail.com |
References

Asymptotic properties of modified empirical Kac processes under general random censorship model | Vestnik Tomskogo gosudarstvennogo universiteta. Upravlenie, vychislitelnaja tehnika i informatika – Tomsk State University Journal of Control and Computer Science. 2022. № 61. DOI: 10.17223/19988605/61/3