Geodesic
On approximation of empirical Kac processes under general random censorship model
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 15 (2022) no. 3, pp. 292-307

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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.
Keywords: censored data, competing risks, empirical estimates, Kac estimate, strong approximation, Gaussian process, characteristic function. 
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Abdurahim A. Abdushukurov; Gulnoz S. Saifulloeva. On approximation of empirical Kac processes under general random censorship model. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 15 (2022) no. 3, pp. 292-307. http://geodesic.mathdoc.fr/item/JSFU_2022_15_3_a3/