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On Minimum Distance Estimation in Dose Response Studies Open Access


Other title
Dose Response Studies
Minimum Distance Estimation
Robust Statistics
Type of item
Degree grantor
University of Alberta
Author or creator
Zhao, Bangxin
Supervisor and department
Dr. Rohana Karunamuni (Department of Mathematical and Statistical Scienses)
Examining committee member and department
Dr. Linglong Kong (Department of Mathematical and Statistical Scienses)
Dr. Rohana Karunamuni (Department of Mathematical and Statistical Scienses)
Dr. Yan Yuan (School of Public Health Sciences)
Department of Mathematical and Statistical Sciences
Date accepted
Graduation date
Master of Science
Degree level
In this thesis, two robust and efficient methods of estimation are examined in dose-response studies context. In particular, we investigate the minimum Hellinger distance estimation and symmetric chi-squared distance methods of estimation. We support our theoretical results with extensive finite sample simulation studies. Based on the minimum Hellinger distance and symmetric chi-squared distance approaches, new estimators of the regression parameters are derived for logistic and probit models. Then their asymptotic properties such as consistency and asymptotic normality are investigated. It is shown that our minimum Hellinger distance estimator is asymptotically equivalent to the traditional estimators derived using the maximum likelihood and weighted least squares approaches. Simulation studies are used to demonstrate that the new estimators work as good as the traditional estimators and most often outperforms them when a contamination occurs in the data. Lastly, the proposed methods are used to estimate the critical dose.
Permission is hereby granted to the University of Alberta Libraries to reproduce single copies of this thesis and to lend or sell such copies for private, scholarly or scientific research purposes only. Where the thesis is converted to, or otherwise made available in digital form, the University of Alberta will advise potential users of the thesis of these terms. The author reserves all other publication and other rights in association with the copyright in the thesis and, except as herein before provided, neither the thesis nor any substantial portion thereof may be printed or otherwise reproduced in any material form whatsoever without the author's prior written permission.
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