数学物理学报(英文版) ›› 2001, Vol. 21 ›› Issue (2): 224-228.

• 论文 • 上一篇    下一篇

A KIND OF URN MODEL FOR ADAPTIVE SEQUENTIAL DESIGN

 白志东, 陈桂景, 胡飞芳   

  1. Department of Statistics &|Applied Probability,National University of Singapore, Singapore Department of Mathematics,Anhui University, Hefei 230039,China Department of Statistics &|Applied Probability,National University of Singapore, Singapore
  • 出版日期:2001-04-07 发布日期:2001-04-07
  • 基金资助:

    This work is supported by a grant of National University of Singapore(RP 3972712)and by partially National Science Foundation of China,No.19671001.

A KIND OF URN MODEL FOR ADAPTIVE SEQUENTIAL DESIGN

 BAI Zhi-Dong, CHEN Gui-Jing, HU Fei-Fang   

  1. Department of Statistics &|Applied Probability,National University of Singapore, Singapore Department of Mathematics,Anhui University, Hefei 230039,China Department of Statistics &|Applied Probability,National University of Singapore, Singapore
  • Online:2001-04-07 Published:2001-04-07
  • Supported by:

    This work is supported by a grant of National University of Singapore(RP 3972712)and by partially National Science Foundation of China,No.19671001.

摘要:

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.

关键词: Generalized Friedman’s urn,adaptive sequetial design,generating matrix,strong consistency,asymptotical normality

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.

Key words: Generalized Friedman’s urn,adaptive sequetial design,generating matrix,strong consistency,asymptotical normality

中图分类号: 

  • 62L05