ERA

Download the full-sized PDF of On Minimum Distance Estimation in Dose Response StudiesDownload the full-sized PDF

Analytics

Share

Permanent link (DOI): https://doi.org/10.7939/R37H1DV93

Download

Export to: EndNote  |  Zotero  |  Mendeley

Communities

This file is in the following communities:

Graduate Studies and Research, Faculty of

Collections

This file is in the following collections:

Theses and Dissertations

On Minimum Distance Estimation in Dose Response Studies Open Access

Descriptions

Other title
Subject/Keyword
Dose Response Studies
Minimum Distance Estimation
Robust Statistics
Type of item
Thesis
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
Department of Mathematical and Statistical Sciences
Specialization
Statistics
Date accepted
2013-08-29T10:37:29Z
Graduation date
2013-11
Degree
Master of Science
Degree level
Master's
Abstract
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.
Language
English
DOI
doi:10.7939/R37H1DV93
Rights
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.
Citation for previous publication

File Details

Date Uploaded
Date Modified
2015-10-29T15:25:40.517+00:00
Audit Status
Audits have not yet been run on this file.
Characterization
File format: pdf (Portable Document Format)
Mime type: application/pdf
File size: 4509663
Last modified: 2015:10:12 14:50:08-06:00
Filename: thesis_BangxinZhao.pdf
Original checksum: 6c608e0f2e160783ba37e4cbdec95b34
Well formed: true
Valid: true
File title: Introduction
File title: On Minimum Distance Estimation in Dose Response Studies
File author: Bangxin Zhao
Page count: 103
Activity of users you follow
User Activity Date