Some properties of bivariate empirical hazard processes under random censoring
type: Item
instance of: scholarly article
title: Some properties of bivariate empirical hazard processes under random censoring
zbMATH Open document ID: 0677.62049
DOI: 10.1016/0047-259X(89)90110-3
published in: Journal of Multivariate Analysis
publication date: 1989-01-01T00:00:00Z
review text: Taking the path dependent estimators of the bivariate hazard rate process of \textit{G. Campbell} and the reviewer [Nonparametric statistical inference, Budapest 1980, Vol. I, Colloq. Math. Soc. János Bolyai 32, 103-121 (1982; Zbl 0516.62041)] the author generalizes some local fluctuation inequalities [see \textit{J. H. J. Einmahl}, Multivariate empirical processes. (1987; Zbl 0619.60031)] for the bivariate case. Based on these methods he obtains a speed of strong convergence for the weighted bivariate empirical process.
Mathematics Subject Classification ID: 62H12
Mathematics Subject Classification ID: 60F15
Mathematics Subject Classification ID: 62E20
zbMATH DE Number: 4109866
zbMATH Keywords: path dependent estimators
zbMATH Keywords: bivariate hazard rate process
zbMATH Keywords: local fluctuation inequalities
zbMATH Keywords: speed of strong convergence
zbMATH Keywords: weighted bivariate empirical process
author: Frits Ruymgaart
reviewed by: Antónia Földes
MaRDI profile type: Publication
cites work: Nonparametric inference for a family of counting processes
cites work: Weak convergence of stochastic integrals related to counting processes
cites work: Q3241303
cites work: A large sample study of the life table and product limit estimates under random censorship
cites work: Nonparametric bivariate estimation with randomly censored data
cites work: Q3664222
cites work: Q3756219
cites work: Q3831896
cites work: Q3906237
cites work: Large sample behaviour of the product-limit estimator on the whole line
cites work: Nonparametric Estimation from Incomplete Observations
cites work: Some comments on the hazard gradient
cites work: Q4107769
cites work: Q3339850
cites work: Local convergence of empirical measures in the random censorship situation with application to density and rate estimators
cites work: Q3395931
full work available at URL: 0047-259x(89)90110-3
OpenAlex ID: W2085980787
Recommended article: Hazard and density estimation from bivariate censored data
Recommended article: Q5859229
Recommended article: On Censored Bivariate Random Variables: Copula, Characterization, and Estimation
Recommended article: Q3738404
Recommended article: Multivariate hazard rates under random censorship
Recommended article: Empirical likelihood for the bivariate survival function under univariate censoring
Recommended article: Asymptotic properties of empirical processes from censored samples of random size
description: scientific article; zbMATH DE number 4109866