Control Charts for Overdispersed Count Data: Exploring the Poisson Chris-Jerry Distribution in Agriculture and Medicine
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27740%2F25%3A10257561" target="_blank" >RIV/61989100:27740/25:10257561 - isvavai.cz</a>
Result on the web
<a href="https://onlinelibrary.wiley.com/doi/10.1002/qre.3745?af=R" target="_blank" >https://onlinelibrary.wiley.com/doi/10.1002/qre.3745?af=R</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1002/qre.3745" target="_blank" >10.1002/qre.3745</a>
Alternative languages
Result language
angličtina
Original language name
Control Charts for Overdispersed Count Data: Exploring the Poisson Chris-Jerry Distribution in Agriculture and Medicine
Original language description
Statistical process control (SPC) is vital for overseeing processes and ensuring quality standards, with control charts being key tools in this process. As manufacturing systems and components become more complex, there is an increasing demand for control charts built on advanced statistical distributions. The Poisson-based count chart is commonly used to monitor nonconformities in production, but its use depends on the assumption that the mean and variance of the data are equal. In many cases, particularly in fields such as biology and medicine, overdispersion occurs, where the variance surpasses the mean. In such cases, the Poisson Chris-Jerry (PSNCJ) distribution offers a more suitable approach for modeling count data. This study explores the development and characteristics of the PSNCJ distribution and presents control charts specifically designed for datasets that conform to this model. Its effectiveness is evaluated through both simulations and real-world applications. Moreover, the PSNCJ count chart is applied to datasets from agriculture and biology, demonstrating its practical significance in these fields. The results validate the utility and accuracy of the proposed control charts.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10103 - Statistics and probability
Result continuities
Project
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Continuities
O - Projekt operacniho programu
Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Quality and Reliability Engineering International
ISSN
0748-8017
e-ISSN
1099-1638
Volume of the periodical
41
Issue of the periodical within the volume
5
Country of publishing house
US - UNITED STATES
Number of pages
23
Pages from-to
1913-1935
UT code for WoS article
001431327100001
EID of the result in the Scopus database
2-s2.0-85218700272