1 Introduction. - 1. 1 Common-cause and special-cause variability. - 1. 2 Transient and persistent special causes. - 1. 3 The Shewhart and CUSUM charts. - 1. 4 Basis for the CUSUM chart for a normal mean. - 1. 5 Out-of-control distribution of the CUSUM. - 1. 6 Testing for a shift the V mask. - 1. 7 Estimation following a signal. - 1. 8 Using individual readings or rational groups. - 1. 9 The decision interval form of the CUSUM. - 1. 10 Summary. - 1. 11 Further reading. - 2 CUSUM design. - 2. 1 The choice of k and h. - 2. 2 Runs run length and average run length. - 2. 3 The Shewhart Xbar chart as CUSUM. - 2. 4 Summary. - 2. 5 Further reading. - 3 More about normal data. - 3. 1 In-control ARLs. - 3. 2 Out-of-control ARLs. - 3. 3 FIR CUSUMs: zero start and steady state start. - 3. 4 Controlling for the mean within a range. - 3. 5 The impact of variance shifts. - 3. 6 Combined Shewhart and CUSUM charts. - 3. 7 Effect of model departures. - 3. 8 Weighted CUSUMs. - 3. 9 Summary. - 3. 10 Further reading. - 4 Other continuous distributions. - 4. 1 The gamma family and normal variances. - 4. 2 The inverse Gaussian family. - 4. 3 Example from General Motors. - 4. 4 Comments. - 4. 5 Further reading. - 5 Discrete data. - 5. 1 Types of discrete data. - 5. 2 The graininess of the ARL function. - 5. 3 The Poisson distribution and count data. - 5. 4 The Poisson and CUSUMs. - 5. 5 Weighted Poisson CUSUMs. - 5. 6 The binomial distribution. - 5. 7 Weighted binomial CUSUMs. - 5. 8 Other discrete distributions. - 5. 9 Summary. - 5. 10 Further reading. - 6 Theoretical foundations of the CUSUM. - 6. 1 General theory. - 6. 2 The general exponential family. - 6. 3 The Markov property of CUSUMs. - 6. 4 Getting the ARL. - 6. 5 Summary. - 6. 6 Further reading. - 7 Calibration and short runs. - 7. 1 The self-starting approach. - 7. 2 The self-starting CUSUM for a normal mean. - 7. 3 Self-startingCUSUMs for gamma data. - 7. 4 Discrete data. - 7. 5 Summary. - 7. 6 Further reading. - 8 Multivariate data. - 8. 1 Outline of the multivariate normal. - 8. 2 Shewhart chartingHotelling's T2. - 8. 3 CUSUM charting various approaches. - 8. 4 Regression adjustment. - 8. 5 Choice of regression adjustment. - 8. 6 The use of several regression-adjusted variables. - 8. 7 The multivariate exponentially weighted moving average. - 8. 8 Summary. - 8. 9 Further reading. - 9 Special topics. - 9. 1 Robust CUSUMs. - 9. 2 Recursive residuals in regression. - 9. 3 Autocorrelated data. - 9. 4 Summary. - 9. 5 Further reading. - 10 Software. - 10. 1 Programs and templates. - 10. 2 Data files. - References. Language: English