An Outlier Detection Approach to Recognize the Sources of a Process Failure within a Multivariate Poisson Process

Chia-Ding Hou and Rung-Hung Su ()
Additional contact information
Chia-Ding Hou: Department of Statistics and Information Science, Fu Jen Catholic University, New Taipei City 242062, Taiwan
Rung-Hung Su: Department of Statistics and Information Science, Fu Jen Catholic University, New Taipei City 242062, Taiwan

Mathematics, 2024, vol. 12, issue 18, 1-10

Abstract: Among attribute processes, the number of nonconformities conforming to a Poisson distribution is among the most crucial quality attributes. Furthermore, owing to the variety of quality attributes, the significance of the multivariate Poisson process in industry cannot be overstated. An out-of-control multivariate Poisson process can be detected using an alarm on a multivariate control chart. Nevertheless, pinpointing the specific quality attributes that led to the process shifts is complex. The study focuses on the causes that lead to process shifts in multivariate Poisson processes, unlike the majority of studies examining shifts in multivariate normal processes. This paper initially presents a statistical method for detecting outliers in a multivariate Poisson distribution. Furthermore, a progressive testing algorithm is then developed to identify the variables responsible for a failure within a multivariate Poisson process. According to simulation results, the proposed approach can effectively determine the sources of a process fault within a multivariate Poisson process.

Keywords: nonconformity; multivariate poisson process; outlier (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/12/18/2813/pdf (application/pdf)
https://www.mdpi.com/2227-7390/12/18/2813/ (text/html)

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:gam:jmathe:v:12:y:2024:i:18:p:2813-:d:1475904

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().