Sequential rank CUSUM charts for angular data

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

doi:10.1016/j.csda.2016.08.001

Sequential rank CUSUM charts for angular data

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

Statistics (Twin Cities)

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

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 language	English (US)
Pages (from-to)	268-279
Number of pages	12
Journal	Computational Statistics and Data Analysis
Volume	105
DOIs	https://doi.org/10.1016/j.csda.2016.08.001
State	Published - Jan 1 2017

Keywords

Angular data
CUSUM
Sequential ranks

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10.1016/j.csda.2016.08.001

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title = "Sequential rank CUSUM charts for angular data",

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.",

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author = "F. Lombard and Hawkins, {Douglas M.} and Potgieter, {Cornelis J.}",

year = "2017",

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doi = "10.1016/j.csda.2016.08.001",

language = "English (US)",

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journal = "Computational Statistics and Data Analysis",

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TY - JOUR

T1 - Sequential rank CUSUM charts for angular data

AU - Lombard, F.

AU - Hawkins, Douglas M.

AU - Potgieter, Cornelis J.

PY - 2017/1/1

Y1 - 2017/1/1

N2 - 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.

AB - 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.

KW - Angular data

KW - CUSUM

KW - Sequential ranks

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UR - http://www.scopus.com/inward/citedby.url?scp=84986898391&partnerID=8YFLogxK

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DO - 10.1016/j.csda.2016.08.001

M3 - Article

AN - SCOPUS:84986898391

SN - 0167-9473

VL - 105

SP - 268

EP - 279

JO - Computational Statistics and Data Analysis

JF - Computational Statistics and Data Analysis

ER -

Sequential rank CUSUM charts for angular data

Abstract

Keywords

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