Limit theorems for a general weighted process under random censoring

DOI10.2307/3315576zbMath0758.60031OpenAlexW2130542868MaRDI QIDQ4018595

Alex J. Koning, John H. J. Einmahl

Publication date: 16 January 1993

Published in: Canadian Journal of Statistics (Search for Journal in Brave)

Full work available at URL: https://research.tilburguniversity.edu/en/publications/ab26769f-cec3-4b07-9e8a-97be6e94ce15

zbMATH Keywords

Wiener processesrandom censoringlimit theoremsfunctional LILweighted processesGlivenko-Cantelli type theorems

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Nonparametric estimation (62G05) Central limit and other weak theorems (60F05) Strong limit theorems (60F15) Functional limit theorems; invariance principles (60F17)

Related Items (4)

Functional limit laws for the increments of Kaplan-Meier product-limit processes and applications ⋮ Confidence bands for the quantile function under random censoring ⋮ KMT‐type inequalities and goodness‐of‐fit tests ⋮ Gaussian approximation to the extreme value index estimator of a heavy-tailed distribution under random censoring

Cites Work

• Unnamed Item
• Unnamed Item
• Large sample behaviour of the product-limit estimator on the whole line
• Some properties of bivariate empirical hazard processes under random censoring
• Strong uniform consistency for nonparametric survival curve estimators from randomly censored data
• A functional law of the iterated logarithm for weighted empirical distributions
• Confidence bands for the quantile function under random censoring
• Nonparametric Estimation from Incomplete Observations
• Estimation of total time on test transforms and lorenz curves under random censorship
• An approximation of partial sums of independent RV'-s, and the sample DF. I

This page was built for publication: Limit theorems for a general weighted process under random censoring