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Exact Group Sequential Methods for Estimating a Binomial Proportion
Joint Authors
Source
Journal of Probability and Statistics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-24, 24 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-02-20
Country of Publication
Egypt
No. of Pages
24
Main Subjects
Abstract EN
We first review existing sequential methods for estimating a binomial proportion.
Afterward, we propose a new family of group sequential sampling schemes for estimating a binomial proportion with prescribed margin of error and confidence level.
In particular, we establish the uniform controllability of coverage probability and the asymptotic optimality for such a family of sampling schemes.
Our theoretical results establish the possibility that the parameters of this family of sampling schemes can be determined so that the prescribed level of confidence is guaranteed with little waste of samples.
Analytic bounds for the cumulative distribution functions and expectations of sample numbers are derived.
Moreover, we discuss the inherent connection of various sampling schemes.
Numerical issues are addressed for improving the accuracy and efficiency of computation.
Computational experiments are conducted for comparing sampling schemes.
Illustrative examples are given for applications in clinical trials.
American Psychological Association (APA)
Chen, Zhengjia& Chen, Xinjia. 2013. Exact Group Sequential Methods for Estimating a Binomial Proportion. Journal of Probability and Statistics،Vol. 2013, no. 2013, pp.1-24.
https://search.emarefa.net/detail/BIM-484287
Modern Language Association (MLA)
Chen, Zhengjia& Chen, Xinjia. Exact Group Sequential Methods for Estimating a Binomial Proportion. Journal of Probability and Statistics No. 2013 (2013), pp.1-24.
https://search.emarefa.net/detail/BIM-484287
American Medical Association (AMA)
Chen, Zhengjia& Chen, Xinjia. Exact Group Sequential Methods for Estimating a Binomial Proportion. Journal of Probability and Statistics. 2013. Vol. 2013, no. 2013, pp.1-24.
https://search.emarefa.net/detail/BIM-484287
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-484287