Weak asymptotic representations for quantiles of the product-limit estimator

DOI10.1016/0378-3758(88)90002-XzbMath0641.62025OpenAlexW1966359734MaRDI QIDQ1100826

Irène Gijbels, Noël Veraverbeke

Publication date: 1988

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-3758(88)90002-x

zbMATH Keywords

confidence intervalsproduct-limit estimatorquantileslifetime distributionkernel-type estimatorsSufficient conditionsresidual lifetime distributionBahadur-type representationfirst-order asymptotic resultsweak representation theorem

Mathematics Subject Classification ID

Nonparametric estimation (62G05) Central limit and other weak theorems (60F05)

Related Items (12)

Asymptotic approximation of kernel-type estimators with its application. ⋮ Quantile estimation in the proportional hazards model of random censorship ⋮ Sequential fixed-width confidence intervals for quantiles in the presence of censoring ⋮ Quantiles of the conditional residual lifetime ⋮ Relative deficiency op kernel type estimators of quantiles based on right censored data ⋮ Large sample properties of nonparametric copula estimators under bivariate censoring ⋮ Nonparametric estimation of univariate and bivariate survival functions under right censoring: a survey ⋮ \(\mathcal L_1\)-deficiency of the sample quantile estimator with respect to a kernel quantile estimator ⋮ Weak convergence of sequences of first passage processes and applications ⋮ Estimation of a smooth quantile function under the proportional hazards model ⋮ Estimation of the quantiles of the duration of old age ⋮ Weak and strong quantile representations for randomly truncated data with applications,

Cites Work

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• On the asymptotic properties of a kernel type quantile estimator from censored samples
• A kernel-type estimator for generalized quantiles
• On the asymptotic normality of statistics with estimated parameters
• A large sample study of the life table and product limit estimates under random censorship
• The product-limit estimator and the bootstrap: Some asymptotic representations
• Nonparametric Estimation from Incomplete Observations
• A Kernel-Type Estimator of a Quantile Function From Right-Censored Data
• Nonparametric Statistical Data Modeling
• A New Proof of the Bahadur Representation of Quantiles and an Application

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