Asymptotic theory for nonparametric estimation of survival curves under order restrictions

DOI10.1214/aos/1032298291zbMath0896.62044OpenAlexW1980211134MaRDI QIDQ1354404

Jian Huang, Jens Thomas Præstgaard

Publication date: 6 October 1998

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

Full work available at URL: https://doi.org/10.1214/aos/1032298291

zbMATH Keywords

Brownian motionsurvival analysisstochastic orderingorder restrictionsconcave majorantnonparametric maximum likelihood estimators

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Asymptotic properties of nonparametric inference (62G20) Nonparametric estimation (62G05) General nonlinear regression (62J02)

Related Items

Constrained nonparametric maximum likelihood estimation of stochastically ordered survivor functions, Estimation of cumulative incidence functions in competing risks studies under an order restriction, Estimating cumulative incidence functions when the life distributions are constrained, Nonparametric inference under a monotone hazard ratio order, Least-squares estimation of two-ordered monotone regression curves, Bayesian analysis for monotone hazard ratio, A test for the presence of stochastic ordering under censoring: the \(k\)-sample case, Marginal densities of the least concave majorant of Brownian motion., Minimum Distance Estimation of the Distribution Functions of Stochastically Ordered Random Variables, An appraisal of some aspects of statistical inference under inequality constraints, Estimation of two ordered mean residual life functions, Estimating a distribution function subject to a stochastic order restriction: a comparative study

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Some limit theorems for empirical processes (with discussion)
• Cube root asymptotics
• The concave majorant of Brownian motion
• Universal Donsker classes and metric entropy
• Central limit theorems for empirical measures
• A large sample study of the life table and product limit estimates under random censorship
• Weak convergence and empirical processes. With applications to statistics
• A survey of product-integration with a view toward application in survival analysis
• Maximum Likelihood Estimation of the Survival Functions of Stochastically Ordered Random Variables
• Nonparametric Estimation under Censoring and Passive Registration
• Maximum Likelihood Estimation of the Distributions of Two Stochastically Ordered Random Variables
• Weak Convergence of a Two-sample Empirical Process and a New Approach to Chernoff-Savage Theorems
• The Isotonic Regression Problem and Its Dual
• Convergence of stochastic processes