Proportional hazards and threshold regression: their theoretical and practical connections

DOI10.1007/S10985-009-9138-0zbMath1322.62284OpenAlexW1998284002WikidataQ23918153 ScholiaQ23918153MaRDI QIDQ746030

Mei-Ling Ting Lee, George A. Whitmore

Publication date: 15 October 2015

Published in: Lifetime Data Analysis (Search for Journal in Brave)

Full work available at URL: http://europepmc.org/articles/pmc6447409

zbMATH Keywords

Brownian motionstochastic processPoisson processrenewal processboundarygamma processfirst hitting timesurvival timetime to eventprocess time

Mathematics Subject Classification ID

Nonparametric regression and quantile regression (62G08) Time series, auto-correlation, regression, etc. in statistics (GARCH) (62M10) Applications of statistics to biology and medical sciences; meta analysis (62P10) Reliability and life testing (62N05)

Related Items (14)

Multi‐parameter regression survival modeling: An alternative to proportional hazards ⋮ Constructing Normalcy and Discrepancy Indexes for Birth Weight and Gestational Age Using a Threshold Regression Mixture Model ⋮ Issues in Fitting Inverse Gaussian First Hitting Time Regression Models for Lifetime Data ⋮ Benefits of Threshold Regression: A Case-Study Comparison with Cox Proportional Hazards Regression ⋮ A boosting first-hitting-time model for survival analysis in high-dimensional settings ⋮ Semiparametric predictive inference for failure data using first-hitting-time threshold regression ⋮ A semiparametric inverse‐Gaussian model and inference for survival data with a cured proportion ⋮ On some conditional characteristics of hazard rate processes induced by external shocks ⋮ Stochastic methodology for prognostics under continuously varying environmental profiles ⋮ Asymptotically refined score and GOF tests for inverse Gaussian models ⋮ Connecting Threshold Regression and Accelerated Failure Time Models ⋮ Matrix-variate Lindley distributions and its applications ⋮ A new class of survival distribution for degradation processes subject to shocks ⋮ Accounting for delayed entry into observational studies and clinical trials: length-biased sampling and restricted mean survival time

Uses Software

• invGauss

Cites Work

• Unnamed Item
• Review and implementation of cure models based on first hitting times for Wiener processes
• A case-control study relating railroad worker mortality to diesel exhaust exposure using a threshold regression model
• Modeling low birth weights using threshold regression: Results for U. S. birth data
• Multiple time scales and the lifetime coefficient of variation: Engineering applications
• Understanding the shape of the hazard rate: A process point of view. (With comments and a rejoinder).
• Alternative time scales and failure time models
• Survival analysis. Techniques for censored and truncated data.
• Multiple time scales in survival analysis
• Threshold regression for survival analysis: modeling event times by a stochastic process reaching a boundary
• On the collapsibility of lifetime regression models

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