| A KIND OF URN MODEL FOR ADAPTIVE SEQUENTIAL DESIGN |
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| 作者姓名： | 白志东 陈桂景 胡飞芳 |
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| 基金项目： | This work is supported by a grant of National University of Singapore(RP 3972712)，by partially National Science Foundation of |
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| 摘 要： | 1 IntroductionIn sequential medical experiment on a cohort of human beings,there is an ethicaJ imper-ative to provide the best possible medical care fOr the individua1 patient. This ethical im-perative may be comprondsed if a randomization scheme involving 50-50 allocation is u8ed asaccruing evidence begins to favor(albeit not yet conclusively) one experAnental theraPy overanother.Adaptive designs have long been proposed to remedy this situation using gelleralizedFriedman's urn model. Genera…
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A KIND OF URN MODEL FOR ADAPTIVE SEQUENTIAL DESIGN |
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| Abstract: | This paper proposes a new kind of generalized Friendman's urn model,which with adaptive nonhomogeneous generating matrix.This model may be applied in sequential medical experiment.In this model some limit theorems (strong consistency and asymptot- ical normality) have been obtained. |
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| Keywords: | Generalized Friedman's urn adaptive sequetial design generating matrix strong consistency asymptotical normality |
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