Empirical quantile process under type-II progressive censoring

DOI10.1016/j.spl.2004.01.020zbMath1058.62029OpenAlexW2045886705MaRDI QIDQ1770070

Laurent Bordes, Sergio Alvarez-Andrade

Publication date: 7 April 2005

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2004.01.020

zbMATH Keywords

Weak convergenceReliabilityMartingalesQuantile processMonte-Carlo studyProgressive censoringVariance estimators

Mathematics Subject Classification ID

Asymptotic properties of nonparametric inference (62G20) Nonparametric estimation (62G05) Central limit and other weak theorems (60F05) Censored data models (62N01) Order statistics; empirical distribution functions (62G30) Inference from stochastic processes (62M99) Reliability and life testing (62N05)

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Progressive censoring methodology: an appraisal (with comments and rejoinder) ⋮ Progressive censoring under inverse sampling for nonparametric multi-sample location problem ⋮ Exact two-sample nonparametric confidence, prediction, and tolerance intervals based on ordinary and progressively type-II right censored data ⋮ Proportional hazards regression under progressive type-II censoring ⋮ Homogeneity tests based on several progressively type-II censored samples ⋮ On the quantile process under progressive censoring

Cites Work

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• Non-parametric estimation under progressive censoring.
• Advances in survival analysis.
• A concept of generalized order statistics
• Interval Estimation of Parameters of Life from Progressively Censored Data
• Exact Non-parametric Confidence Intervals for Quantiles with Progressive Type-II Censoring
• Statistical models based on counting processes

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