Asymptotics in response-adaptive designs generated by a two-color, randomly reinforced urn

Details Asymptotics in response-adaptive designs generated by a two-color, randomly reinforced urn Asymptotics in response-adaptive designs generated by a two-color, randomly reinforced urn

2009-04-02

arxiv.org/abs/0904.0350v1

Annals of Statistics 2009, Vol. 37, No. 2, 1058-1078

Mathematics

Statistics Theory

Published in at http://dx.doi.org/10.1214/08-AOS596 the Annals of Statistics (http://www.imstat.org/aos/) by the Institute of

Scientific paper

10.1214/08-AOS596

This paper illustrates asymptotic properties for a response-adaptive design generated by a two-color, randomly reinforced urn model. The design considered is optimal in the sense that it assigns patients to the best treatment, with probability converging to one. An approach to show the joint asymptotic normality of the estimators of the mean responses to the treatments is provided in spite of the fact that allocation proportions converge to zero and one. Results on the rate of convergence of the number of patients assigned to each treatment are also obtained. Finally, we study the asymptotic behavior of a suitable test statistic.

Affiliated with

Also associated with

No associations

Rating

Asymptotics in response-adaptive designs generated by a two-color, randomly reinforced urn does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Asymptotics in response-adaptive designs generated by a two-color, randomly reinforced urn, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Asymptotics in response-adaptive designs generated by a two-color, randomly reinforced urn will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-63730