Detailed Information

Cited 1 time in webofscience Cited 0 time in scopus
Metadata Downloads

Comparisons of the Performance with Bayes Estimator and MLE for Control Charts Based on Geometric Distribution

Authors
Hong, HwijuLee, Jaeheon
Issue Date
Oct-2015
Publisher
KOREAN STATISTICAL SOC
Keywords
ARL; Bayes estimator; geometric chart; MLE; Phase I sample
Citation
KOREAN JOURNAL OF APPLIED STATISTICS, v.28, no.5, pp 907 - 920
Pages
14
Journal Title
KOREAN JOURNAL OF APPLIED STATISTICS
Volume
28
Number
5
Start Page
907
End Page
920
URI
https://scholarworks.bwise.kr/cau/handle/2019.sw.cau/9027
DOI
10.5351/KJAS.2015.28.5.907
ISSN
1225-066X
2383-5818
Abstract
Charts based on geometric distribution are effective to monitor the proportion of nonconforming items in high-quality processes where the in-control proportion nonconforming is low. The implementation of this chart is often based on the assumption that in-control proportion nonconforming is known or accurately estimated. However, accurate parameter estimation is very difficult and may require a larger sample size than that available in practice for high-quality process where the proportion of nonconforming items is very small. An inaccurate estimate of the parameter can result in estimated control limits that cause unreliability in the monitoring process. The maximum likelihood estimator (MLE) is often used to estimate in-control proportion nonconforming. In this paper, we recommend a Bayes estimator for the in-control proportion nonconforming to incorporate practitioner knowledge and avoid estimation issues when no nonconforming items are observed in the Phase I sample. The effects of parameter estimation on the geometric chart and the geometric CUSUM chart are considered when the MLE and the Bayes estimator are used. The results show that chart performance with estimated control limits based on the Bayes estimator is generally better than that based on the MLE.
Files in This Item
There are no files associated with this item.
Appears in
Collections
Graduate School > ETC > 1. Journal Articles

qrcode

Items in ScholarWorks are protected by copyright, with all rights reserved, unless otherwise indicated.

Related Researcher

Researcher Lee, Jae Heon photo

Lee, Jae Heon
경영경제대학 (응용통계학과)
Read more

Altmetrics

Total Views & Downloads

BROWSE