A nonparametric multivariate phase I location control chart based on data depth

A. Hedayati (), S. Dehghan () and M. R. Faridrohani ()
Additional contact information
A. Hedayati: Shahid Beheshti University
S. Dehghan: Shahid Beheshti University
M. R. Faridrohani: Shahid Beheshti University

Quality & Quantity: International Journal of Methodology, 2025, vol. 59, issue 2, No 26, 1660 pages

Abstract: Abstract In this paper, we propose a new depth-based nonparametric multivariate control chart for phase I to detect location changes. The proposed depth-based is affine invariant and asymptotically nonparametric over a broad family of distributions and also does not require any symmetric assumption. Simulation studies are provided to analyze the performance of the proposed control chart based on various depth functions. We apply the proposed control chart to a real data set for illustrative purposes. Our proposed statistic performs well and in some cases better than competitors.

Keywords: Affine invariant; Asymptotically distribution-free; Depth function; Nonparametric multivariate control chart; Phase I profile monitoring (search for similar items in EconPapers)
Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s11135-024-02035-0 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:qualqt:v:59:y:2025:i:2:d:10.1007_s11135-024-02035-0

Ordering information: This journal article can be ordered from
http://www.springer.com/economics/journal/11135

DOI: 10.1007/s11135-024-02035-0

Access Statistics for this article

Quality & Quantity: International Journal of Methodology is currently edited by Vittorio Capecchi

More articles in Quality & Quantity: International Journal of Methodology from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().