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KazemiNia, Ali Akbar, Sadeghpour Gildeh, Bahram, Abbasi Ganji, Zainab. (1401). The Design of Generalized Likelihood Ratio Control Chart for Monitoring the von Mises Distributed Data. , 12(1), 1-13. doi: 10.22103/jmmrc.2022.19133.1213
Ali Akbar KazemiNia; Bahram Sadeghpour Gildeh; Zainab Abbasi Ganji. "The Design of Generalized Likelihood Ratio Control Chart for Monitoring the von Mises Distributed Data". , 12, 1, 1401, 1-13. doi: 10.22103/jmmrc.2022.19133.1213
KazemiNia, Ali Akbar, Sadeghpour Gildeh, Bahram, Abbasi Ganji, Zainab. (1401). 'The Design of Generalized Likelihood Ratio Control Chart for Monitoring the von Mises Distributed Data', , 12(1), pp. 1-13. doi: 10.22103/jmmrc.2022.19133.1213
KazemiNia, Ali Akbar, Sadeghpour Gildeh, Bahram, Abbasi Ganji, Zainab. The Design of Generalized Likelihood Ratio Control Chart for Monitoring the von Mises Distributed Data. , 1401; 12(1): 1-13. doi: 10.22103/jmmrc.2022.19133.1213

The Design of Generalized Likelihood Ratio Control Chart for Monitoring the von Mises Distributed Data

Journal of Mahani Mathematical Research
دوره 12، شماره 1 - شماره پیاپی 24، فروردین 2023، صفحه 1-13    اصل مقاله (576.53 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22103/jmmrc.2022.19133.1213
نویسندگان
Ali Akbar KazemiNia1؛ Bahram Sadeghpour Gildeh1؛ Zainab Abbasi Ganji* 2
1Department of Statistics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran
2Khorasan Razavi Agricultural and Natural research and Education center, Mashhad, Iran
چکیده
‎In this paper‎, ‎a new generalized likelihood ratio (GLR) control chart based on sequentially probability ratio test (SPRT) is introduced to monitor the directional mean of von Mises distribution‎. ‎Different window size of past samples are utilized to construct the GLR chart statistic‎, ‎and the performance of this chart in detecting a wide range of parameter shift is evaluated‎. ‎A simulation study is carried out to investigate the performance of the proposed control chart in comparison with cumulative sum (CUSUM) control chart‎. ‎To guide practitioners‎, ‎a real example is provided‎.
کلیدواژه‌ها
von Mises distribution؛ average run length؛ maximum likelihood estimation؛ CUSUM؛ generalized likelihood ratio
مراجع
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