Statistical Process Capability Indices with Industrial Applications

1 Introduction and genesis

1.1 Introduction of Process Capability Index

1.2 History of Process Capability Index

1.3 Background: Process Capability Index

1.4 Basic concepts

1.5 Types of Process Capability Index

1.6 Process Capability Index for non-normal distributions

1.7 Applications in Control Charts

1.8 Applications in Sampling Plans


2 Process Capability Index (PCI) for Non-normal distributions 2.1 Evaluation of PCI under non-normal distribution

2.2 PCI based on median absolute deviations

2.3 Modified PCI under non-normal distribution

2.4 Modified PCI under Weibull distribution


3 Repetitive Sampling Plans based on PCI

3.1 Introduction

3.2 Variable plans based on PCI

3.3 One-sided PCI

3.4 Multiple Dependent state repetitive sampling based on one-sided PCI


4 Multiple Dependent State Sampling

4.1 Introduction

4.2 Multiple Dependent State Sampling using PCI

4.3 Multiple Dependent state repetitive sampling based PCI

4.4 New PCI in Sampling Plan

4.5 Generalized Multiple Dependent State Sampling


5 Resubmitted Sampling

5.1 Introduction

5.2 Variable plan using resubmitted sampling using exact approach

5.3 Variable plan using resubmitted sampling using approximation

5.4 EWMA based Plan


6 Mixed Plans

6.1 Introduction

6.2 Mixed sampling plan

6.3 Mixed repetitive plan

6.4 Mixed multiple dependent state plan

6.5 Variable lot size sampling

6.6 Mixed repetitive and multiple dependent state plans


7 Skip Sampling

7.1 Introduction

7.2 Skip-V sampling plan

7.3 Skip-R sampling plan


8 Miscellaneous