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Detecting semi-referees in the Plackett-Luce model | ||
| AUT Journal of Mathematics and Computing | ||
| مقاله 5، دوره 4، شماره 2، 2023، صفحه 137-144 اصل مقاله (592.2 K) | ||
| نوع مقاله: Original Article | ||
| شناسه دیجیتال (DOI): 10.22060/ajmc.2022.20659.1072 | ||
| نویسندگان | ||
| Omid Naghshineh Arjmand* 1؛ Nastaran Mirzaei2 | ||
| 1Department of Mathematics and Computer Science, Amirkabir University of Technology (Tehran Polytechnic), Tehran, Iran | ||
| 2Shahrood University of Technology, Iran | ||
| چکیده | ||
| In this paper, we use the Plackett-Luce model for detecting some referees who judge arbitrariness with inaccuracy or without paying enough attention, which is called Semi-referees. We will investigate our method by simulation and sample of real data. | ||
| کلیدواژهها | ||
| Ranking؛ Semi-referee؛ Plackett-Luce؛ Bradley-Terry | ||
| مراجع | ||
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[1] R. A. Bradley and M. E. Terry, Rank analysis of incomplete block designs. I. The method of paired comparisons, Biometrika, 39 (1952), pp. 324–345.
[2] L. R. Ford, Jr., Solution of a ranking problem from binary comparisons, Amer. Math. Monthly, 64 (1957), pp. 28–33.
[3] D. R. Hunter, MM algorithms for generalized Bradley-Terry models, Ann. Statist., 32 (2004), pp. 384–406.
[4] E. Zermelo, Die Berechnung der Turnier-Ergebnisse als ein Maximumproblem der Wahrscheinlichkeitsrech[1]nung, Math. Z., 29 (1929), pp. 436–460.
[1] R. A. Bradley and M. E. Terry, Rank analysis of incomplete block designs. I. The method of paired comparisons, Biometrika, 39 (1952), pp. 324–345.
[2] L. R. Ford, Jr., Solution of a ranking problem from binary comparisons, Amer. Math. Monthly, 64 (1957), pp. 28–33.
[3] D. R. Hunter, MM algorithms for generalized Bradley-Terry models, Ann. Statist., 32 (2004), pp. 384–406.
[4] E. Zermelo, Die Berechnung der Turnier-Ergebnisse als ein Maximumproblem der Wahrscheinlichkeitsrech[1]nung, Math. Z., 29 (1929), pp. 436–460. | ||
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