Modeling Remaining Useful Life Dynamics in Reliability Engineering

1. Introduction, 2. Reminder of Reliability Engineering Fundamentals, 3. The RUL Loss Rate for a Special Class of Time-to-Failure Distributions: MRL Linear Function of Time, 4. Generalization to an MRL Piecewise-Linear Function of Time, 5. Generalization to a Wide Class of Lifetime Distributions, 6. Properties of the dg Metric, 7. Multiple Failure or Degradation Modes, 8. Statistical Estimation Aspects, 9. Implications for Maintenance Optimization, 10. Advanced Topics and Further Research

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prognostics health management;lifetime data analysis;stochastic degradation modeling;failure rate estimation;industrial asset monitoring;advanced maintenance strategies;nonlinear mean residual life transformation;Fisher Information Measure;Cumulative Distribution Function;Exponential Distribution Case;RUL Prediction;Reliability Function;Finite Life Time;RUL Estimate;Cumulative Hazard Function;RUL;Standard Normal Deviate;PHM.;Predictive Maintenance;Dirac Distribution;Weibull Distribution;Exponential Distribution;Laplace Transform;Rayleigh Distribution;Gamma Distribution;Maximum Likelihood Estimation Method;MRL Function;Confidence Interval;Differential Entropy;Piecewise Linear Function;Predictive Maintenance Policy;Gamma Degradation Process