On the asymptotic properties of a flexible hazard estimator

DOI10.1214/aos/1033066198zbMath0853.62030OpenAlexW2045489037MaRDI QIDQ1922394

Anastasios A. Tsiatis, Robert L. Strawderman

Publication date: 9 January 1997

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aos/1033066198

zbMATH Keywords

consistencyasymptotic normalitysplinesurvival analysismartingalemaximum likelihood estimatorcensoringhazard functionlarge sample approximationhazard relationshipstochastic time-dependent covariate

Mathematics Subject Classification ID

Asymptotic properties of parametric estimators (62F12) Asymptotic properties of nonparametric inference (62G20) Applications of statistics to biology and medical sciences; meta analysis (62P10) Nonparametric estimation (62G05) Inference from stochastic processes (62M99) Martingales with continuous parameter (60G44)

Related Items (1)

A more flexible joint latent model for longitudinal and survival time data

Cites Work

• Cox's regression model for counting processes: A large sample study
• Large-sample inference for log-spline models
• Spline smoothing and optimal rates of convergence in nonparametric regression models
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• Optimal rates of convergence for nonparametric estimators
• Asymptotics for doubly flexible logspline response models
• Nonparametric inference for a family of counting processes
• A practical guide to splines
• The use of polynomial splines and their tensor products in multivariate function estimation. (With discussion)
• Optimal global rates of convergence for nonparametric regression
• Approximation Theorems of Mathematical Statistics
• On Inference in Parametric Survival Data Models
• On the Unique Consistent Solution to the Likelihood Equations
• Inverses of Band Matrices and Local Convergence of Spline Projections
• Hazard Regression
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