Acta mathematica scientia,Series B ›› 2001, Vol. 21 ›› Issue (2): 224-228.

• Articles • Previous Articles     Next Articles

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.

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

CLC Number: 

  • 62L05
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