Immigrated urn models - asymptotic properties and applications

Details Immigrated urn models - asymptotic properties and applications Immigrated urn models - asymptotic properties and applications

2008-12-19

arxiv.org/abs/0812.3698v2

The Annals of Statistics 2011, Vol. 39, No. 1, 643-671

Mathematics

Statistics Theory

Scientific paper

10.1214/10-AOS851

Urn models have been widely studied and applied in both scientific and social science disciplines. In clinical studies, the adoption of urn models in treatment allocation schemes has been proved to be beneficial to both researchers, by providing more efficient clinical trials, and patients, by increasing the likelihood of receiving the better treatment. In this paper, we propose a new and general class of immigrated urn (IMU) models that incorporates the immigration mechanism into the urn process. Theoretical properties are developed and the advantages of the IMU models are discussed. In general, the IMU models have smaller variabilities than the classical urn models, yielding more powerful statistical inferences in applications. Illustrative examples are presented to demonstrate the wide applicability of the IMU models. The proposed IMU framework, including many popular classical urn models, not only offers a unify perspective for us to comprehend the urn process, but also enables us to generate several novel urn models with desirable properties.

Affiliated with

Also associated with

No associations

Rating

Immigrated urn models - asymptotic properties and applications 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 Immigrated urn models - asymptotic properties and applications, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Immigrated urn models - asymptotic properties and applications will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-726672