Distribution-Free Methods for Statistical Process Monitoring and Control

Preface
Contents
Recent Advances on Univariate Distribution-Free Shewhart-Type Control Charts
	1 Introduction
	2 Distribution-Free Control Charts Based on Order Statistics
		2.1 A Median Control Chart Based on Bootstrap Methods
		2.2 Precedence Control Charts with Signaling Rules
		2.3 A Two-Chart Nonparametric Monitoring Scheme Based on Order Statistics
		2.4 A Nonparametric Control Chart Based on the Pooled Median
		2.5 A Nonparametric Control Chart Based on Grouped Observations
		2.6 One-Sided Control Charts Based on Precedence Statistics
		2.7 The Minimum and the Median Precedence Control Chart with Improved Runs-Rules
		2.8 Control Charts Based on the Total Median Statistic
		2.9 Multiple-Chart Nonparametric Monitoring Schemes Based on Order Statistics
		2.10 Distribution-Free Precedence Control Charts with the 2-of-(h+1) Supplementary Runs-Rule
		2.11 A Four-Chart Monitoring Scheme Based on Order Statistics
	3 Distribution-Free Control Charts Based on Sign Statistics
		3.1 Nonparametric Sign Control Charts Based on Runs
		3.2 Improved Shewhart-Type Runs-Rules Nonparametric Sign Charts
		3.3 Shewhart-Type Sign Control Charts for Monitoring a Finite Horizon Process
		3.4 Shewhart-Type Sign Control Charts for Low-Volume Production
		3.5 Nonparametric Signed-Rank Control Charts with Variable Sampling Intervals
		3.6 Sign Control Charts Based on Ranked Set Sampling
	4 Distribution-Free Control Charts Based on Ranks
		4.1 Nonparametric Control Charts Based on the Wilcoxon-Type Rank-Sum Statistic
		4.2 A Nonparametric Control Chart Based on the Mood Statistic
		4.3 A Shewhart-Lepage Control Chart for the Joint Monitoring of Location and Scale
		4.4 A Shewhart–Cucconi Control Chart for the Joint Monitoring of Location and Scale
		4.5 Nonparametric Control Charts Based on the Hogg-Fisher-Randle and the Savage Rank Statistic
		4.6 Distribution-Free Phase II Mann–Whitney Control Charts with Runs-Rules
		4.7 Economically Designed Nonparametric Control Chart Based on the Wilcoxon Rank-sum Statistic
		4.8 Distribution-Free Lepage-Type Circular-Grid Charts for Joint Monitoring of Location and Scale Parameters
		4.9 Distribution-Free Fuzzy Shewhart–Lepage Control Schemes
		4.10 Generalized Shewhart-Lepage-Type Control Schemes
		4.11 Nonparametric Control Charts Based on Modified Wilcoxon-Type Statistics
		4.12 Distribution-Free Control Charts for Subgroup Location and Scale Based on the Multi-sample Lepage Statistic
		4.13 Wilcoxon-Type Control Charts Based on Progressively Censored Reference Data
	References
Multivariate Nonparametric Control Charts Based on Ordered Samples, Signs and Ranks
	1 Introduction
	2 Brief Literature Review on Univariate Charts
		2.1 Monitoring of Location
		2.2 Monitoring of Scale
		2.3 Simultaneous Monitoring of Location and Scale
	3 Presentation of the Multivariate Control Charts
		3.1 Monitoring of Location
		3.2 Monitoring of Scale
		3.3 Simultaneous Monitoring of Location and Scale
	4 Comparison Study
	5 Conclusion—Future Research
	References
The Shewhart Sign Chart with Ties: Performance and Alternatives
	1 Introduction
	2 The Shewhart SN Chart ``Without Ties\'\'
	3 The Shewhart SN Chart ``With Ties\'\'
	4 Effect of the Measurement System Resolution on the Shewhart SN Chart
	5 Procedures to Tackle the Occurrence of Rounding-Off Errors
		5.1 Procedure 1: Computing New Chart Control Limits C\'
		5.2 Procedure 2: Bernoulli Trial Approach
	6 Conclusions
	References
Statistical Process Monitoring and the Issue of Assumptions in Practice: Normality and Independence
	1 Introduction
	2 Consequences of the Distributional Assumption
	3 Other Assumptions and Considerations When Designing a Control Chart
	4 Applications
	5 Concluding Remarks
	References
On Change-Point Analysis-Based Distribution-Free Control Charts with Phase I Applications
	1 Introduction
	2 Background and Literature Review
	3 Change-Point Analysis-Based Distribution-Free Control Charts
		3.1 Detection of Single or Multiple Level Shifts
		3.2 Detection of Scale Changes
		3.3 Adjustment of the p-Values Obtained During the Previous Two Steps
	4 Empirical Study
		4.1 RS/P-Based Phase I Analysis
		4.2 Adjusted GLRT-Based Phase I Analysis
	5 Comparative Performance Evaluation
	6 Concluding Remarks
	References
A Class of Distribution-Free Exponentially Weighted Moving Average Schemes for Joint Monitoring of Location and Scale Parameters
	1 Introduction
	2 Distribution-Free EWMA Schemes
		2.1 Lepage-Type Monitoring Schemes
		2.2 Cucconi-Type Monitoring Schemes
	3 Implementation of the Proposed Monitoring Procedures
		3.1 Implementation of the EL and cEL Schemes
		3.2 Implementation of the EC, cEC1, cEC2, and cEC3 Schemes
	4 Numerical Results and Comparisons
		4.1 Determination of Control Limits
		4.2 Performance of the Proposed Procedures at Microlevel
		4.3 OOC Performance of the Proposed Procedures at Macrolevel
	5 Illustration and Data Monitoring
	6 Concluding Remarks
	References
Distribution-Free Phase II Control Charts Based on Order Statistics with Runs-Rules
	1 Introduction
	2 The 3-of-3 DR Control Chart Based on Order Statistics
	3 The 3-of-3 KL Control Chart Based on Order Statistics
	4 Numerical Comparisons
	5 Conclusions
	References
A Nonparametric Control Chart for Dynamic Disease Risk Monitoring
	1 Introduction
	2 Proposed Method
		2.1 Risk Estimation and Variable Selection
		2.2 Online Disease Risk Monitoring
	3 Simulation Study
	4 Real Data Example
	5 Concluding Remarks
	References