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題名 A note on optimal strategies of a generalized two-stage bandit problem
作者 余清祥
Yue, Jack C.
關鍵詞 Optimal strategy ; Two-armed Bernoulli bandit ; Two-stage decision
日期 2004-12
上傳時間 19-Dec-2008 14:52:01 (UTC+8)
摘要 In Yue [Yue, J. C. (1999). Generalized two-stage bandit problem. Commun. Statist. Theo. Meth. 28(9):2261-2276], a two-stage approach was used to explore the Bernoulli two-armed bandit problem, where he assumed that one arm has a smaller prior variance than the other arm. In this paper, adapting Yue`s assumption, we study the structure of the optimal strategy, which maximizes the expected number of successes. We confirm the conjecture of Pearson [Pearson, L. M. (1980). Treatment Allocation for Clinical Trials in Stages. Ph.D. thesis, University of Minnesota] that it is never optimal to allocate an equal number of observations to two identical arms in the first stage.
關聯 Communications in statistics: Theory and methods , 33(7), 1577-1585
資料類型 article
DOI http://dx.doi.org/10.1081/STA-120037261
dc.creator (作者) 余清祥zh_TW
dc.creator (作者) Yue, Jack C.-
dc.date (日期) 2004-12en_US
dc.date.accessioned 19-Dec-2008 14:52:01 (UTC+8)-
dc.date.available 19-Dec-2008 14:52:01 (UTC+8)-
dc.date.issued (上傳時間) 19-Dec-2008 14:52:01 (UTC+8)-
dc.identifier.uri (URI) https://nccur.lib.nccu.edu.tw/handle/140.119/18162-
dc.description.abstract (摘要) In Yue [Yue, J. C. (1999). Generalized two-stage bandit problem. Commun. Statist. Theo. Meth. 28(9):2261-2276], a two-stage approach was used to explore the Bernoulli two-armed bandit problem, where he assumed that one arm has a smaller prior variance than the other arm. In this paper, adapting Yue`s assumption, we study the structure of the optimal strategy, which maximizes the expected number of successes. We confirm the conjecture of Pearson [Pearson, L. M. (1980). Treatment Allocation for Clinical Trials in Stages. Ph.D. thesis, University of Minnesota] that it is never optimal to allocate an equal number of observations to two identical arms in the first stage.-
dc.format application/en_US
dc.language enen_US
dc.language en-USen_US
dc.language.iso en_US-
dc.relation (關聯) Communications in statistics: Theory and methods , 33(7), 1577-1585en_US
dc.subject (關鍵詞) Optimal strategy ; Two-armed Bernoulli bandit ; Two-stage decision-
dc.title (題名) A note on optimal strategies of a generalized two-stage bandit problemen_US
dc.type (資料類型) articleen
dc.identifier.doi (DOI) 10.1081/STA-120037261en_US
dc.doi.uri (DOI) http://dx.doi.org/10.1081/STA-120037261en_US