Nonparametric estimation of a convex bathtub-shaped hazard function

DOI10.3150/09-BEJ202zbMath1200.62025arXiv0801.0712WikidataQ39910950 ScholiaQ39910950MaRDI QIDQ605882

Hanna K. Jankowski, Jon A. Wellner

Publication date: 15 November 2010

Published in: Bernoulli (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0801.0712

zbMATH Keywords

consistencyhazard ratelimit distributionnonparametric estimationforce of mortalityantimodebathtubconvex failure rateenvelope processU-shaped

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Asymptotic properties of nonparametric inference (62G20) Nonparametric estimation (62G05) Estimation in survival analysis and censored data (62N02)

Related Items

Hazard rate estimation for left truncated and right censored data, One sample goodness of fit tests in presence of shape restrictions on the hazard rate function, Nonparametric estimation of a convex bathtub-shaped hazard function, Inference for Local Parameters in Convexity Constrained Models, Nonparametric maximum likelihood computation of a \(U\)-shaped hazard function, On Bayes inference for a bathtub failure rate via S-paths, Limit distribution theory for block estimators in multiple isotonic regression, Minimax theory of nonparametric hazard rate estimation: efficiency and adaptation, Computation of nonparametric convex hazard estimators via profile methods, Confidence intervals for multiple isotonic regression and other monotone models, Limit distribution theory for maximum likelihood estimation of a log-concave density, Semiparametric regression with the U-shaped baseline hazard function in the additive hazards model under general censoring mechanisms, Inference for the mode of a log-concave density

Uses Software

• ConvexHaz

Cites Work

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• Estimating the intensity of a random measure by histogram type estimators
• Nonparametric estimation of a convex bathtub-shaped hazard function
• Subsampling
• The TTT transformation and a new bathtub distribution model
• Adaptive estimation of the intensity of inhomogeneous Poisson processes via concentration inequalities
• Minimax lower bounds and moduli of continuity
• A canonical process for estimation of convex functions: the ``invelope of integrated Brownian motion \(+t^ 4\).
• Estimation of a convex function: Characterizations and asymptotic theory.
• Likelihood ratio tests for monotone functions.
• Large sample confidence regions based on subsamples under minimal assumptions
• Weak convergence and empirical processes. With applications to statistics
• Consistent estimation of a convex density at the origin
• Estimation of a function under shape restrictions. Applications to reliability
• Bathtub distributions: a review
• Computation of nonparametric convex hazard estimators via profile methods
• Asymptotic behavior of the grenander estimator at density flat regions
• The Support Reduction Algorithm for Computing Non‐Parametric Function Estimates in Mixture Models
• Bayesian Non‐Parametric Estimation of Smooth Hazard Rates for Seismic Hazard Assessment
• Confidence Intervals for Current Status Data
• Convex Analysis