Sequential rank CUSUM charts for angular data

F. Lombard, Douglas M Hawkins, Cornelis J. Potgieter

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

A cumulative sum (CUSUM) control chart has desirable properties for checking whether a distribution has changed from an in-control to an out-of-control setting. Distribution-free CUSUMs based on sequential ranks to detect changes in the mean direction and dispersion of angular data are developed and some of their properties are illustrated by theoretical calculations and Monte Carlo simulation. Three applications to sequentially observed angular data from health science, industrial quality control and astrophysics are discussed.

Original languageEnglish (US)
Pages (from-to)268-279
Number of pages12
JournalComputational Statistics and Data Analysis
Volume105
DOIs
StatePublished - Jan 1 2017

Fingerprint

Cumulative Sum
Chart
Astrophysics
Distribution-free
Control Charts
Quality Control
Quality control
Health
Monte Carlo Simulation
Control charts
Monte Carlo simulation

Keywords

  • Angular data
  • CUSUM
  • Sequential ranks

Cite this

Sequential rank CUSUM charts for angular data. / Lombard, F.; Hawkins, Douglas M; Potgieter, Cornelis J.

In: Computational Statistics and Data Analysis, Vol. 105, 01.01.2017, p. 268-279.

Research output: Contribution to journalArticle

Lombard, F. ; Hawkins, Douglas M ; Potgieter, Cornelis J. / Sequential rank CUSUM charts for angular data. In: Computational Statistics and Data Analysis. 2017 ; Vol. 105. pp. 268-279.
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