Tabla de Contenidos: “…5.7 Application to the Pareto Distribution -- 5.8 Application to Continuous Degradation Processes -- 5.8.1 Problem Statement -- 5.8.2 RUL for Wiener Process With Drift -- 5.8.3 RUL for Gamma Process -- 5.9 Exercises -- Bibliography -- 6 Properties of the Dg Metric -- 6.1 Introduction -- 6.2 Derivative of G(t) -- 6.3 Differential Equation for MRL -- 6.3.1 Example: The Rayleigh Distribution -- 6.3.2 Other Example: The Gamma Distribution -- 6.4 Second Derivative of G(t) -- 6.4.1 Weibull Distribution -- 6.4.2 Gamma Distribution -- 6.5 Upper Bound for the Average RUL Loss Rate -- 6.6 Exercises -- Bibliography -- 7 Multiple Failure Or Degradation Modes -- 7.1 Introduction -- 7.2 General Formulation -- 7.3 Illustration in Special Case -- 7.4 Exercises -- Bibliography -- 8 Statistical Estimation Aspects -- 8.1 Introduction -- 8.2 Nonparametric Estimation -- 8.3 Parametric Estimation-Illustration On Two Case Studies -- 8.3.1 Parametric Estimation: The Maximum Likelihood Estimation Method -- 8.3.1.1 Maximum Likelihood Estimator -- 8.3.1.2 Desirable Properties of the Maximum Likelihood Estimator -- 8.3.1.3 Derivation of a Confidence Interval -- 8.3.2 First Case Study: Light-Emitting Diodes (LEDs) -- 8.3.3 Second Case Study: Redundant System -- 8.4 Surrogate Model for the G(t) Transformation -- 8.5 Bayesian Estimation -- 8.6 Exercises -- Bibliography -- 9 Implications for Maintenance Optimization -- 9.1 Introduction -- 9.2 Maintenance Decisions: Balancing Costs and Risks -- 9.3 Quantifying Costs and Risks -- 9.3.1 Rejuvenation and Maintenance Efficiency -- 9.3.2 Minimal Maintenance (ABAO) -- 9.3.3 Perfect Maintenance (AGAN) -- 9.4 Predictive Maintenance -- 9.5 Exercises -- Bibliography -- 10 Advanced Topics and Further Research -- 10.1 The Gini Index -- 10.2 Entropy and the K Parameter -- 10.2.1 Entropy -- 10.2.2 Differential Entropy…”

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