Sequential Bayesian design for estimation of EDp

Yubin Tian; Dianpeng Wang

doi:10.1109/BMEI.2009.5305435

Sequential Bayesian design for estimation of ED_p

Yubin Tian^*, Dianpeng Wang

^*Corresponding author for this work

School of Mathematics and Statistics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

3 Citations (Scopus)

Abstract

Maximum likelihood recursions of Wu can be used to estimate extreme percentiles of a dose-quantal effective curve. For certain choices of initial designs, Wu's method performs well. In bioassay, there often exist some different initial designs which are known as the up-and-down designs. Based on the existing data set from such a design, we propose three sequential empirical Bayesian designs by quickly and efficiently exploiting the information in the testing data and known knowledge. The improvement obtained by using the new procedures for the estimation of extreme percentiles is substantial.

Original language	English
Title of host publication	Proceedings of the 2009 2nd International Conference on Biomedical Engineering and Informatics, BMEI 2009
DOIs	https://doi.org/10.1109/BMEI.2009.5305435
Publication status	Published - 2009
Event	2009 2nd International Conference on Biomedical Engineering and Informatics, BMEI 2009 - Tianjin, China Duration: 17 Oct 2009 → 19 Oct 2009

Publication series

Name	Proceedings of the 2009 2nd International Conference on Biomedical Engineering and Informatics, BMEI 2009

Conference

Conference	2009 2nd International Conference on Biomedical Engineering and Informatics, BMEI 2009
Country/Territory	China
City	Tianjin
Period	17/10/09 → 19/10/09

Keywords

Bayes estimator
Bootstrap
Component
Percentiles
Sequential design

Access to Document

10.1109/BMEI.2009.5305435

Cite this

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title = "Sequential Bayesian design for estimation of EDp",

abstract = "Maximum likelihood recursions of Wu can be used to estimate extreme percentiles of a dose-quantal effective curve. For certain choices of initial designs, Wu's method performs well. In bioassay, there often exist some different initial designs which are known as the up-and-down designs. Based on the existing data set from such a design, we propose three sequential empirical Bayesian designs by quickly and efficiently exploiting the information in the testing data and known knowledge. The improvement obtained by using the new procedures for the estimation of extreme percentiles is substantial.",

keywords = "Bayes estimator, Bootstrap, Component, Percentiles, Sequential design",

author = "Yubin Tian and Dianpeng Wang",

year = "2009",

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language = "English",

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series = "Proceedings of the 2009 2nd International Conference on Biomedical Engineering and Informatics, BMEI 2009",

booktitle = "Proceedings of the 2009 2nd International Conference on Biomedical Engineering and Informatics, BMEI 2009",

note = "2009 2nd International Conference on Biomedical Engineering and Informatics, BMEI 2009 ; Conference date: 17-10-2009 Through 19-10-2009",

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Tian, Y & Wang, D 2009, Sequential Bayesian design for estimation of ED_p. in Proceedings of the 2009 2nd International Conference on Biomedical Engineering and Informatics, BMEI 2009., 5305435, Proceedings of the 2009 2nd International Conference on Biomedical Engineering and Informatics, BMEI 2009, 2009 2nd International Conference on Biomedical Engineering and Informatics, BMEI 2009, Tianjin, China, 17/10/09. https://doi.org/10.1109/BMEI.2009.5305435

Sequential Bayesian design for estimation of ED_p. / Tian, Yubin ; Wang, Dianpeng.
Proceedings of the 2009 2nd International Conference on Biomedical Engineering and Informatics, BMEI 2009. 2009. 5305435 (Proceedings of the 2009 2nd International Conference on Biomedical Engineering and Informatics, BMEI 2009).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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KW - Bootstrap

KW - Component

KW - Percentiles

KW - Sequential design

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