On power of control chart for the ratio of two Poisson distributions under misclassification error
When the control charts for the ratio of two Poisson distributions need to be constructed, a situation may require controlling the ratio rather than a single parameter. Chakraborty and Khurshid [6] constructed Shewhart control chart and Chakraborty and Khurshid [7] studied measurement error effect o...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
University of Belgrade
2020-01-01
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| Series: | Yugoslav Journal of Operations Research |
| Subjects: | |
| Online Access: | http://www.doiserbia.nb.rs/img/doi/0354-0243/2020/0354-02431900029C.pdf |
| _version_ | 1819275179186978816 |
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| author | Chakraborty Ashit B. Khurshid Anwer |
| author_facet | Chakraborty Ashit B. Khurshid Anwer |
| author_sort | Chakraborty Ashit B. |
| collection | DOAJ |
| description | When the control charts for the ratio of two Poisson distributions need to be constructed, a situation may require controlling the ratio rather than a single parameter. Chakraborty and Khurshid [6] constructed Shewhart control chart and Chakraborty and Khurshid [7] studied measurement error effect on control chart for the ratio of two Poisson distributions, respectively. The effects of misclassification on the performance of control charts have been investigated by several authors. Measurement error variability has uncertainty that can arise from several sources. In this paper, we study the effect of the two sources of variability on the power characteristics of control chart under misclassification error for the ratio of two Poisson distributions as studied by Sahai and Khurshid [36]. Probabilities of misclassification of conforming and non-conforming units for grid of values are provided. |
| first_indexed | 2024-12-23T23:20:12Z |
| format | Article |
| id | doaj.art-9d18f6f645bf423f80c2a972d19f3fe2 |
| institution | Directory Open Access Journal |
| issn | 0354-0243 1820-743X |
| language | English |
| last_indexed | 2024-12-23T23:20:12Z |
| publishDate | 2020-01-01 |
| publisher | University of Belgrade |
| record_format | Article |
| series | Yugoslav Journal of Operations Research |
| spelling | doaj.art-9d18f6f645bf423f80c2a972d19f3fe22022-12-21T17:26:22ZengUniversity of BelgradeYugoslav Journal of Operations Research0354-02431820-743X2020-01-0130219920810.2298/YJOR180315029C0354-02431900029COn power of control chart for the ratio of two Poisson distributions under misclassification errorChakraborty Ashit B.0Khurshid Anwer1Department of Statistics, St. Anthony's College, Shillong, Meghalaya, IndiaDepartment of Mathematical and Physical Sciences, College of Arts and Sciences, University of Nizwa, Birkat Al Mouz, OmanWhen the control charts for the ratio of two Poisson distributions need to be constructed, a situation may require controlling the ratio rather than a single parameter. Chakraborty and Khurshid [6] constructed Shewhart control chart and Chakraborty and Khurshid [7] studied measurement error effect on control chart for the ratio of two Poisson distributions, respectively. The effects of misclassification on the performance of control charts have been investigated by several authors. Measurement error variability has uncertainty that can arise from several sources. In this paper, we study the effect of the two sources of variability on the power characteristics of control chart under misclassification error for the ratio of two Poisson distributions as studied by Sahai and Khurshid [36]. Probabilities of misclassification of conforming and non-conforming units for grid of values are provided.http://www.doiserbia.nb.rs/img/doi/0354-0243/2020/0354-02431900029C.pdfmisclassification errorratio of poisson distributionpowerlavin equation |
| spellingShingle | Chakraborty Ashit B. Khurshid Anwer On power of control chart for the ratio of two Poisson distributions under misclassification error Yugoslav Journal of Operations Research misclassification error ratio of poisson distribution power lavin equation |
| title | On power of control chart for the ratio of two Poisson distributions under misclassification error |
| title_full | On power of control chart for the ratio of two Poisson distributions under misclassification error |
| title_fullStr | On power of control chart for the ratio of two Poisson distributions under misclassification error |
| title_full_unstemmed | On power of control chart for the ratio of two Poisson distributions under misclassification error |
| title_short | On power of control chart for the ratio of two Poisson distributions under misclassification error |
| title_sort | on power of control chart for the ratio of two poisson distributions under misclassification error |
| topic | misclassification error ratio of poisson distribution power lavin equation |
| url | http://www.doiserbia.nb.rs/img/doi/0354-0243/2020/0354-02431900029C.pdf |
| work_keys_str_mv | AT chakrabortyashitb onpowerofcontrolchartfortheratiooftwopoissondistributionsundermisclassificationerror AT khurshidanwer onpowerofcontrolchartfortheratiooftwopoissondistributionsundermisclassificationerror |