Intro -- Statistical Analysis of Profile Monitoring -- Contents -- Preface -- Contributors -- 1 Introduction to Profile Monitoring -- Introduction -- 1.1 Functional Relationships Qualified as Profiles -- 1.2 Functional Relationships not Qualified as Profiles -- 1.3 Structure of This Book -- References -- 2 Simple Linear Profiles -- Introduction -- 2.1 Phase I Simple Linear Profile -- 2.2 Phase II Simple Linear Profile -- 2.3 Special Cases and an Important Application -- 2.4 Diagnostic Statistics -- 2.5 Violation of the Model Assumptions -- Appendix -- References -- 3 Multiple Linear and Polynomial Profiles -- Introduction -- 3.1 Monitoring Multiple Linear Profiles -- 3.2 Monitoring Polynomial Profiles -- References -- 4 Binary Response Profiles -- Introduction -- 4.1 Model Setting and Parameter Estimation -- 4.2 Phase I Control -- 4.3 Phase II Monitoring -- 4.4 Applications -- 4.5 Conclusions -- References -- 5 Parametric Nonlinear Profiles -- Introduction -- 5.1 Nonlinear Model Estimation -- 5.2 Phase I Methods -- 5.3 Phase II Methods -- 5.4 Variance Profiles -- Appendix -- References -- 6 Nonparametric Nonlinear Profiles -- Introduction -- 6.1 Model Formulation and Nonparametric Example -- 6.2 Splines -- 6.3 Component Analysis -- 6.4 Wavelets -- References -- 7 Multivariate Linear Profiles Monitoring -- Introduction -- 7.1 Monitoring Multivariate Simple Linear Profiles -- 7.2 Monitoring Multivariate Multiple Linear Profiles -- References -- 8 Statistical Process Control for Geometric Specifications -- Introduction -- 8.1 Examples of Geometric Feature Concerning Circularity -- 8.2 Control Charts for Profile Monitoring -- 8.3 Simple Approaches for Monitoring Manufactured Profiles: The Industrial Practice -- 8.4 Performance Comparison -- 8.5 Moving from 2D Profiles to 3D Surfaces -- 8.6 Concluding Remarks -- Acknowledgments -- References.

9 Correlation and Autocorrelation in Profiles -- Introduction -- 9.1 Methods for WPA for Linear Models -- 9.2 Methods for BPC for Linear Models -- 9.3 Methods for WPA and BPC for Other (Nonlinear) Models -- 9.4 Phase I Analysis -- 9.5 Phase II Analysis -- 9.6 Related Issues: Rational Subgrouping and Random Effects -- 9.7 Discussion and Open Questions -- Acknowledgment -- References -- 10 Nonparametric Profile Monitoring -- Introduction -- 10.1 Monitoring Profiles Based on Nonparametric Regression -- 10.2 Nonparametric Profile Monitoring Using Change-Point Formulation and Adaptive Smoothing -- 10.3 Nonparametric Profile Monitoring by Mixed-Effects Modeling -- Appendix A: Approximate the Distributions of Quadratic Forms Like zT Az -- Appendix B: The Expression of lrt,k in Model (10.8) -- References -- Index.

A one-of-a-kind presentation of the major achievements in statistical profile monitoring methods Statistical profile monitoring is an area of statistical quality control that is growing in significance for researchers and practitioners, specifically because of its range of applicability across various service and manufacturing settings. Comprised of contributions from renowned academicians and practitioners in the field, Statistical Analysis of Profile Monitoring presents the latest state-of-the-art research on the use of control charts to monitor process and product quality profiles. The book presents comprehensive coverage of profile monitoring definitions, techniques, models, and application examples, particularly in various areas of engineering and statistics. The book begins with an introduction to the concept of profile monitoring and its applications in practice. Subsequent chapters explore the fundamental concepts, methods, and issues related to statistical profile monitoring, with topics of coverage including: Simple and multiple linear profiles Binary response profiles Parametric and nonparametric nonlinear profiles Multivariate linear profiles monitoring Statistical process control for geometric specifications Correlation and autocorrelation in profiles Nonparametric profile monitoring Throughout the book, more than two dozen real-world case studies highlight the discussed topics along with innovative examples and applications of profile monitoring. Statistical Analysis of Profile Monitoring is an excellent book for courses on statistical quality control at the graduate level. It also serves as a valuable reference for quality engineers, researchers and anyone who works in monitoring and improving statistical processes.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2018. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.