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Book Cover
E-book
Author Hu, Chao

Title Engineering Design under Uncertainty and Health Prognostics
Published Cham : Springer, 2018

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Description 1 online resource (350 pages)
Series Springer Series in Reliability Engineering Ser
Springer Series in Reliability Engineering Ser
Contents Intro; Preface; Contents; 1 Basic Concepts of Reliability; 1.1 Concept of Reliability; 1.2 History of Reliability Engineering; 1.3 Reliability Practices in a Product's Life-Cycle; 1.4 Outline of Following Chapters; References; 2 Fundamentals of Probability Theory; 2.1 Probability Concepts; 2.2 Axioms and Theorems of Probability Theory; 2.2.1 Basic Axioms; 2.2.2 Addition Theorems; 2.2.3 Multiplication Theorem; 2.2.4 Total Probability Theorem; 2.3 Random Variables and Univariate Distribution Functions; 2.3.1 Discrete Random Variables; 2.3.2 Continuous Random Variables
2.4 Statistical Moments of Random Variables2.4.1 Mean; 2.4.2 Variance; 2.4.3 Skewness and Kurtosis; 2.5 Commonly Used Univariate Distribution Functions; 2.5.1 Discrete Probability Distributions; 2.5.2 Continuous Probability Distributions; 2.6 Random Vectors and Joint Distribution Functions; 2.6.1 Joint and Marginal Probability Distributions; 2.6.2 Conditional Probability and Independence; 2.6.3 Covariance and Correlation Coefficient; 2.6.4 Bivariate Normal Distribution; 2.7 Exercises; 3 Statistical Data Analysis; 3.1 Conventional (or Frequentist) Statistical Methods; 3.1.1 Graphical Methods
3.1.2 Quantitative Methods3.2 Bayesian Statistics; 3.2.1 Bayes' Theorem; 3.2.2 Bayesian Inference; 3.3 Exercises; References; 4 Fundamentals of Reliability Analysis; 4.1 Definition of Reliability; 4.1.1 Time-Independent Reliability; 4.1.2 Time-Dependent Reliability; 4.2 Reliability Function (Time-Independent); 4.3 Reliability Function (Time-Dependent); 4.3.1 Reliability and Failure Rate Functions; 4.3.2 Parametric Time-to-Failure Distributions; 4.3.3 Remarks on Time-Dependent Reliability; 4.4 Exercises; References; 5 Reliability Analysis Techniques (Time-Independent)
5.1 Overview of Reliability Analysis Techniques5.2 Expansion Methods; 5.3 MPP-Based Methods; 5.3.1 First-Order Reliability Method (FORM); 5.3.2 Second-Order Reliability Method (SORM); 5.4 Sampling Methods; 5.4.1 Direct Monte Carlo Simulation; 5.4.2 Importance Sampling Method; 5.5 Stochastic Response Surface Methods; 5.5.1 Dimension Reduction (DR) Method; 5.5.2 Stochastic Spectral Method; 5.5.3 Stochastic Collocation Method; 5.6 Exercises; Appendix: A 99-Line MATLAB Code for UDR-Based SRSM; References; 6 Time-Dependent Reliability Analysis in Design
6.1 Overview of Time-Dependent Reliability Analysis6.2 Simulation-Based Methods for Time-Dependent Reliability Analysis; 6.2.1 Procedure for Time-Dependent Reliability Analysis Using MCS; 6.2.2 Example of Time-Dependent Reliability Analysis Using MCS; 6.3 Extreme Value-Based Methods; 6.3.1 Concept of a Nested Time Prediction Model; 6.3.2 The NERS Methodology; 6.3.3 Example of Reliability Analysis Using NERS; 6.4 Composite Limit State Methods; 6.4.1 Introduction to the Composite Limit State Method; 6.4.2 Example of Time-Dependent Reliability Analysis Using the CLS Method
Notes 6.4.3 Further Development of CLS-Based Methods
Print version record
Form Electronic book
Author Youn, Byeng D
Wang, Pingfeng, 1980-
ISBN 9783319925745
3319925741