IDEAS home Printed from https://ideas.repec.org/a/eee/csdana/v105y2017icp268-279.html
   My bibliography  Save this article

Sequential rank CUSUM charts for angular data

Author

Listed:
  • Lombard, F.
  • Hawkins, Douglas M.
  • Potgieter, Cornelis J.

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.

Suggested Citation

  • Lombard, F. & Hawkins, Douglas M. & Potgieter, Cornelis J., 2017. "Sequential rank CUSUM charts for angular data," Computational Statistics & Data Analysis, Elsevier, vol. 105(C), pages 268-279.
    • Handle: RePEc:eee:csdana:v:105:y:2017:i:c:p:268-279
    DOI: 10.1016/j.csda.2016.08.001
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0167947316301827
    Download Restriction: Full text for ScienceDirect subscribers only.
    File URL: https://libkey.io/10.1016/j.csda.2016.08.001?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. David McDonald, 1990. "A cusum procedure based on sequential ranks," Naval Research Logistics (NRL), John Wiley & Sons, vol. 37(5), pages 627-646, October.
    2. Berens, Philipp, 2009. "CircStat: A MATLAB Toolbox for Circular Statistics," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 31(i10).
    3. F. Lombard & R. K. Maxwell, 2012. "A cusum procedure to detect deviations from uniformity in angular data," Journal of Applied Statistics, Taylor & Francis Journals, vol. 39(9), pages 1871-1880, April.
    4. Taylor, Charles C., 2008. "Automatic bandwidth selection for circular density estimation," Computational Statistics & Data Analysis, Elsevier, vol. 52(7), pages 3493-3500, March.
    5. Douglas M. Hawkins & F. Lombard, 2015. "Segmentation of circular data," Journal of Applied Statistics, Taylor & Francis Journals, vol. 42(1), pages 88-97, January.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Arthur Pewsey & Eduardo García-Portugués, 2021. "Recent advances in directional statistics," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 30(1), pages 1-58, March.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Arthur Pewsey & Eduardo García-Portugués, 2021. "Recent advances in directional statistics," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 30(1), pages 1-58, March.
    2. Joshua M. Diamond & Julio I. Chapeton & Weizhen Xie & Samantha N. Jackson & Sara K. Inati & Kareem A. Zaghloul, 2024. "Focal seizures induce spatiotemporally organized spiking activity in the human cortex," Nature Communications, Nature, vol. 15(1), pages 1-15, December.
    3. María Alonso‐Pena & Gerda Claeskens & Irène Gijbels, 2024. "Nonparametric estimation of densities on the hypersphere using a parametric guide," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 51(3), pages 956-986, September.
    4. Paula Saavedra-Nieves & Rosa M. Crujeiras, 2022. "Nonparametric estimation of directional highest density regions," Advances in Data Analysis and Classification, Springer;German Classification Society - Gesellschaft für Klassifikation (GfKl);Japanese Classification Society (JCS);Classification and Data Analysis Group of the Italian Statistical Society (CLADAG);International Federation of Classification Societies (IFCS), vol. 16(3), pages 761-796, September.
    5. Kyerl Park & Yoonsoo Yeo & Kisung Shin & Jeehyun Kwag, 2024. "Egocentric neural representation of geometric vertex in the retrosplenial cortex," Nature Communications, Nature, vol. 15(1), pages 1-14, December.
    6. Jennifer B Tennessen & Marla M Holt & Brianna M Wright & M Bradley Hanson & Candice K Emmons & Deborah A Giles & Jeffrey T Hogan & Sheila J Thornton & Volker B Deecke, 2023. "Divergent foraging strategies between populations of sympatric matrilineal killer whales," Behavioral Ecology, International Society for Behavioral Ecology, vol. 34(3), pages 373-386.
    7. Thomas Schreiner & Marit Petzka & Tobias Staudigl & Bernhard P. Staresina, 2023. "Respiration modulates sleep oscillations and memory reactivation in humans," Nature Communications, Nature, vol. 14(1), pages 1-11, December.
    8. Thomas Schreiner & Elisabeth Kaufmann & Soheyl Noachtar & Jan-Hinnerk Mehrkens & Tobias Staudigl, 2022. "The human thalamus orchestrates neocortical oscillations during NREM sleep," Nature Communications, Nature, vol. 13(1), pages 1-16, December.
    9. Jan Beran & Britta Steffens & Sucharita Ghosh, 2022. "On nonparametric regression for bivariate circular long-memory time series," Statistical Papers, Springer, vol. 63(1), pages 29-52, February.
    10. Celia M. Gagliardi & Marc E. Normandin & Alexandra T. Keinath & Joshua B. Julian & Matthew R. Lopez & Manuel-Miguel Ramos-Alvarez & Russell A. Epstein & Isabel A. Muzzio, 2024. "Distinct neural mechanisms for heading retrieval and context recognition in the hippocampus during spatial reorientation," Nature Communications, Nature, vol. 15(1), pages 1-22, December.
    11. García-Portugués, Eduardo & Crujeiras, Rosa M. & González-Manteiga, Wenceslao, 2013. "Kernel density estimation for directional–linear data," Journal of Multivariate Analysis, Elsevier, vol. 121(C), pages 152-175.
    12. Alireza Saeedi & Kun Wang & Ghazaleh Nikpourian & Andreas Bartels & Nikos K. Logothetis & Nelson K. Totah & Masataka Watanabe, 2024. "Brightness illusions drive a neuronal response in the primary visual cortex under top-down modulation," Nature Communications, Nature, vol. 15(1), pages 1-16, December.
    13. Thomas Schreiner & Benjamin J. Griffiths & Merve Kutlu & Christian Vollmar & Elisabeth Kaufmann & Stefanie Quach & Jan Remi & Soheyl Noachtar & Tobias Staudigl, 2024. "Spindle-locked ripples mediate memory reactivation during human NREM sleep," Nature Communications, Nature, vol. 15(1), pages 1-15, December.
    14. César Henrique Mattos Pires & Felipe M. Pimenta & Carla A. D'Aquino & Osvaldo R. Saavedra & Xuerui Mao & Arcilan T. Assireu, 2020. "Coastal Wind Power in Southern Santa Catarina, Brazil," Energies, MDPI, vol. 13(19), pages 1-23, October.
    15. Alexis T Baria & Brian Maniscalco & Biyu J He, 2017. "Initial-state-dependent, robust, transient neural dynamics encode conscious visual perception," PLOS Computational Biology, Public Library of Science, vol. 13(11), pages 1-29, November.
    16. Matthijs J. Warrens & Bunga C. Pratiwi, 2016. "Kappa Coefficients for Circular Classifications," Journal of Classification, Springer;The Classification Society, vol. 33(3), pages 507-522, October.
    17. Masataka Sawayama & Shin'ya Nishida, 2018. "Material and shape perception based on two types of intensity gradient information," PLOS Computational Biology, Public Library of Science, vol. 14(4), pages 1-40, April.
    18. Aguiar-Conraria, Luis & Martins, Manuel M.F. & Soares, Maria Joana, 2018. "Estimating the Taylor rule in the time-frequency domain," Journal of Macroeconomics, Elsevier, vol. 57(C), pages 122-137.
    19. Assaf Breska & Leon Y Deouell, 2017. "Neural mechanisms of rhythm-based temporal prediction: Delta phase-locking reflects temporal predictability but not rhythmic entrainment," PLOS Biology, Public Library of Science, vol. 15(2), pages 1-30, February.
    20. Sunny Nigam & Russell Milton & Sorin Pojoga & Valentin Dragoi, 2023. "Adaptive coding across visual features during free-viewing and fixation conditions," Nature Communications, Nature, vol. 14(1), pages 1-12, December.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:csdana:v:105:y:2017:i:c:p:268-279. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/csda .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.