Martingale approach to EWMA control charts for changes in exponential distribution
Exponentially weighted moving average (EWMA) procedure is a popular chart used for detecting small shifts of parameters of distributions in quality control and surveillance problems. The objective of this paper is to derive characteristics of a particular process such as Average Run Length (ARL)...
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| Format: | Article |
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Penerbit ukm
2008
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| _version_ | 1796927450443153408 |
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| author | Yupaporn Areepong, Novikov , Alexander |
| author_facet | Yupaporn Areepong, Novikov , Alexander |
| author_sort | Yupaporn Areepong, |
| collection | UKM |
| description | Exponentially weighted moving average (EWMA) procedure is a popular chart used for
detecting small shifts of parameters of distributions in quality control and surveillance
problems. The objective of this paper is to derive characteristics of a particular process such as
Average Run Length (ARL) and Average Delay time (AD) under EWMA procedure assuming
that observations follow an exponential distribution. Using the martingale approach we find
explicit expressions for characteristics of EWMA as Average Run Length (ARL) and
Average Delay time (AD). We compare the performance of the proposed expressions under
EWMA and other procedures such as CUSUM based ARL and AD using some simulation
studies |
| first_indexed | 2024-03-06T03:44:17Z |
| format | Article |
| id | ukm.eprints-1867 |
| institution | Universiti Kebangsaan Malaysia |
| last_indexed | 2024-03-06T03:44:17Z |
| publishDate | 2008 |
| publisher | Penerbit ukm |
| record_format | dspace |
| spelling | ukm.eprints-18672011-06-15T07:45:33Z http://journalarticle.ukm.my/1867/ Martingale approach to EWMA control charts for changes in exponential distribution Yupaporn Areepong, Novikov , Alexander Exponentially weighted moving average (EWMA) procedure is a popular chart used for detecting small shifts of parameters of distributions in quality control and surveillance problems. The objective of this paper is to derive characteristics of a particular process such as Average Run Length (ARL) and Average Delay time (AD) under EWMA procedure assuming that observations follow an exponential distribution. Using the martingale approach we find explicit expressions for characteristics of EWMA as Average Run Length (ARL) and Average Delay time (AD). We compare the performance of the proposed expressions under EWMA and other procedures such as CUSUM based ARL and AD using some simulation studies Penerbit ukm 2008-07 Article PeerReviewed Yupaporn Areepong, and Novikov , Alexander (2008) Martingale approach to EWMA control charts for changes in exponential distribution. Journal of Quality Measurement and Analysis, 4 (1). pp. 197-203. ISSN 1823-5670 http://www.ukm.my/~ppsmfst/jqma/index.html |
| spellingShingle | Yupaporn Areepong, Novikov , Alexander Martingale approach to EWMA control charts for changes in exponential distribution |
| title | Martingale approach to EWMA control charts for
changes in exponential distribution
|
| title_full | Martingale approach to EWMA control charts for
changes in exponential distribution
|
| title_fullStr | Martingale approach to EWMA control charts for
changes in exponential distribution
|
| title_full_unstemmed | Martingale approach to EWMA control charts for
changes in exponential distribution
|
| title_short | Martingale approach to EWMA control charts for
changes in exponential distribution
|
| title_sort | martingale approach to ewma control charts for changes in exponential distribution |
| work_keys_str_mv | AT yupapornareepong martingaleapproachtoewmacontrolchartsforchangesinexponentialdistribution AT novikovalexander martingaleapproachtoewmacontrolchartsforchangesinexponentialdistribution |