Distribution-free control chart

Distribution-free (nonparametric) control charts are one of the most important tools of statistical process monitoring and control. Implementation techniques of distribution-free control charts do not require any knowledge about the underlying process distribution or its parameters. The main advantage of distribution-free control charts is its in-control robustness, in the sense that, irrespective of the nature of the underlying process distributions, the properties of these control charts remain the same when the process is smoothly operating without presence of any assignable cause.

Early research on nonparametric control charts may be found in 1981[1] when P.K. Bhattacharya and D. Frierson introduced a nonparametric control chart for detecting small disorders. However, major growth of nonparametric control charting schemes has taken place only in the recent years[when?].

  1. ^ Bhattacharya, P. K.; Frierson, Dargan (May 1981). "A Nonparametric Control Chart for Detecting Small Disorders". The Annals of Statistics. 9 (3): 544–554. doi:10.1214/aos/1176345458. ISSN 0090-5364.