Resumen de Nonparametric CUSUM Control Charts and Their Use in Two-Stage SPC Applications

Tatevik Ambartsoumian, Daniel R. Jeske

• This article develops a nonparametric cumulative sum (CUSUM) for sequential monitoring of independent and identically distributed observations when the underlying in-control density is arbitrary and unknown but can be estimated from historical in-control data. The approach utilizes a smooth bootstrap algorithm along with an adaptive nonparametric kernel density estimator to make the CUSUM work for reasonably sized sets of in-control data. The authors discuss how the CUSUM fits into a two-stage SPC algorithm.