The rate of strong uniform consistency for the multivariate product-limit estimator

DOI10.1016/0047-259X(83)90015-5zbMath0517.62044OpenAlexW2087622961MaRDI QIDQ1053388

Lajos Horváth

Publication date: 1983

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0047-259x(83)90015-5

zbMATH Keywords

survival functionmultivariate censored datamultivariate product-limit estimatorrate of strong uniform consistencyvariable censoring model

Mathematics Subject Classification ID

Estimation in multivariate analysis (62H12) Nonparametric estimation (62G05) Strong limit theorems (60F15)

Related Items (9)

Nonparametric estimators for a survivor function of paired recurrent events ⋮ A test of independence for the coordinates of bivariate censored data ⋮ Kaplan-Meier estimate on the plane: Weak convergence, LIL, and the bootstrap ⋮ I.i.d. representations for the bivariate product limit estimators and the bootstrap versions ⋮ Unnamed Item ⋮ Estimation of conditional jointly survival function under dependent right random censored data ⋮ Moment and probability inequalities for the bivariate product-limit estimator. ⋮ A new measure of association for bivariate survival data ⋮ Strong approximations of the quantile process of the product-limit estimator

Cites Work

• Unnamed Item
• On the rate for uniform strong consistency of empirical distributions of independent nonidentically distributed multivariate random variables
• A uniform bound for the deviation of empirical distribution functions
• A large sample study of the life table and product limit estimates under random censorship
• The rate of strong uniform consistency for the product-limit estimator

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