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

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.

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Keywords

censored data, empirical estimates, Kac estimate, strong approximation, Gaussian process

Authors

NameOrganizationE-mail
Abdushukurov Abdurakhim A.Moscow State University named after M.V.Lomonosova_abdushukurov@rambler.ru
Sayfulloyeva Gulnoz S.Navoi State Pedagogical Institutesayfullayevagulnoz@gmail.com
Всего: 2

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

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

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