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https://ah.lib.nccu.edu.tw/handle/140.119/87532| 題名: | The Influence of Variance in Two-Armed Bandit Problems | 作者: | 黃秋霖 Huang, Qiu-Lin |
貢獻者: | 余清祥 Yu, Qing-Xiang 黃秋霖 Huang, Qiu-Lin |
關鍵詞: | Two-armed bandit問題 治療法 策略 效用函數 變異因子 |
日期: | 1995 | 上傳時間: | 28-Apr-2016 | 摘要: | 本論文主要是發掘變異數在Two-armed Bandit問題中的影響。在文中我們假設兩種治療法的成功率分別是θ1和θ2，且以π1~Beta(cα,cβ)和π2~Beta(α,β)為其驗前機率分配。此外，我們假設所有病人數(N)已知。 The focus of the report is to find the influence of variance in Two-armed Bandit problems. In this report, we consider the case when the success probabilities of the two treatmentsθ1,θ2 haveπ1~Beta(cα,cβ) andπ2~Beta(α,β) as their priors, and the total number of patients, N is known. |
參考文獻: | [1] Apostal, T. M. (1975) Mathematical analysis. Addison- Wesley.\r\n[2] Berry, D. A. and Fristedt, B. (1985) Bandit problems - Sequential allocation of experiments, Ch.apm.an and Hall.\r\n[3] Berry, D. A. and Pearson, L. (1984) Optimal design for two-stage clinical trials with dichotomous responses. Unit. of Minnesota Tech.. Rep.\r\n[4] Canner, P. L. (1970). Selecting one of the two treatments when the responses are dichotomous, J.A.S.A. , 65, 293-306.\r\n[5] Chernoff, H. and Ray, S. N. (1965). A bayes sequential sampling inspection plan. Ann. Math.. Statist. 36, 1387-1407.\r\n[6] Clayton, M. K. and ` Witmer, J. A. (1988) Two-stage bandit , Annals of Stat. Vo1.16 , No.2, 887-894.\r\n[7] Colton, T. (1963) A model for selecting one of two medical treatment. J.A.S.A. , 58, 388-400.\r\n[8] Cornfield, J., Halperin, M. , and Greenhouse, S.W. (1969). An adaptive procedure for sequential clinical trials. 1. A.S.A, 64, 759- 770.\r\n[9] Eick, S. G. (1988) The two-armed bandit with delayed responses, Annals of Stat, Vol.l6, No.2: 254-264.\r\n[10] Eick, S. G. (1988) Gittins procedures for bandits with delayed responses: J.R.S.S. , Soc. B , 50, No.1, 125-132 .\r\n[11] Petkau, A. J. (1978) Sequential medical trials for comparing an experimental with a standard treatment. 1. Am.er. Statist. Assoc, 73, 328-338.\r\n[12] Witmer, J. A. (1983) Bayesian multistage decision problems, Ph. D. Thesis.\r\n[13] Witmer , J. A. (1986) Bayesian multistage decision problems, Annals of Stat., Vol. 14, No. 1. 283-297. | 描述: | 碩士 國立政治大學 統計學系 |
資料來源: | http://thesis.lib.nccu.edu.tw/record/#B2002003013 | 資料類型: | thesis |
| Appears in Collections: | 學位論文 |
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