Gaussian models for degradation processes. I: Methods for the analysis of biomarker data
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Publication:1906150
DOI10.1007/BF00985763zbMath0836.62098WikidataQ36893578 ScholiaQ36893578MaRDI QIDQ1906150
Sharon-Lise T. Normand, Kjell A. Doksum
Publication date: 26 February 1996
Published in: Lifetime Data Analysis (Search for Journal in Brave)
Wiener processinverse Gaussian distributionstationary Gaussian processcovariatesHIVregression modelsCD4latency timeresidual timebiomarker processesdegradation processes
Applications of statistics to biology and medical sciences; meta analysis (62P10) Inference from stochastic processes (62M99)
Related Items (25)
Step-stress accelerated degradation test planning based on Wiener process with correlation ⋮ Estimating duration distribution aided by auxiliary longitudinal measures in presence of missing time origin ⋮ Optimum step-stress accelerated degradation test for Wiener degradation process under constraints ⋮ A time-discrete and zero-adjusted gamma process model with application to degradation analysis ⋮ Threshold regression for survival analysis: modeling event times by a stochastic process reaching a boundary ⋮ Degradation data analysis and remaining useful life estimation: a review on Wiener-process-based methods ⋮ Stochastic Accelerated Degradation Models Based on a Generalized Cumulative Damage Approach ⋮ Gamma Degradation Models: Inference and Optimal Design ⋮ Misspecification Analysis of Gamma with Inverse Gaussian Degradation Processes ⋮ Regression Analysis of Spatially Correlated Event Durations With Missing Origins Annotated by Longitudinal Measures ⋮ Profile optimum planning for degradation analysis ⋮ Degradation data analysis for samples under unequal operating conditions: a case study on train wheels ⋮ A Bivariate Gamma Model for a Latent Degradation Process ⋮ A semiparametric inverse‐Gaussian model and inference for survival data with a cured proportion ⋮ Mis-specification analyses of gamma and Wiener degradation processes ⋮ Accelerated degradation models for failure based on geometric Brownian motion and gamma processes ⋮ Objective Bayesian analysis accelerated degradation test based on Wiener process models ⋮ Joint modeling of degradation and failure time data ⋮ Stochastic comparisons and ageing properties of an extended gamma process ⋮ Evidence synthesis through a degradation model applied to myocardial infarction ⋮ Statistical Models to Analyze Failure, Wear, Fatigue, and Degradation Data with Explanatory Variables ⋮ A new class of survival distribution for degradation processes subject to shocks ⋮ Reliability assessment for products with two performance characteristics based on marginal stochastic processes and copulas ⋮ Unbiased parameters estimation and mis-specification analysis of Wiener process-based degradation model with random effects ⋮ Designing a Degradation Test with a Two-Parameter Exponential Lifetime Distribution
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