Persistent Link:
http://hdl.handle.net/10150/222849
Title:
Nonparametric Inference for Bioassay
Author:
Lin, Lizhen
Issue Date:
2012
Publisher:
The University of Arizona.
Rights:
Copyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.
Abstract:
This thesis proposes some new model independent or nonparametric methods for estimating the dose-response curve and the effective dosage curve in the context of bioassay. The research problem is also of importance in environmental risk assessment and other areas of health sciences. It is shown in the thesis that our new nonparametric methods while bearing optimal asymptotic properties also exhibit strong finite sample performance. Although our specific emphasis is on bioassay and environmental risk assessment, the methodology developed in this dissertation applies broadly to general order restricted inference.
Type:
text; Electronic Dissertation
Keywords:
Dose-response curve; Effective dosage curve; Mean integrated squared error; Monotone shape constrained curve estimation; Mathematics; Asymptotic optimality; Bioassay
Degree Name:
Ph.D.
Degree Level:
doctoral
Degree Program:
Graduate College; Mathematics
Degree Grantor:
University of Arizona
Advisor:
Bhattacharya, Rabi N.

Full metadata record

DC FieldValue Language
dc.language.isoenen_US
dc.titleNonparametric Inference for Bioassayen_US
dc.creatorLin, Lizhenen_US
dc.contributor.authorLin, Lizhenen_US
dc.date.issued2012-
dc.publisherThe University of Arizona.en_US
dc.rightsCopyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.en_US
dc.description.abstractThis thesis proposes some new model independent or nonparametric methods for estimating the dose-response curve and the effective dosage curve in the context of bioassay. The research problem is also of importance in environmental risk assessment and other areas of health sciences. It is shown in the thesis that our new nonparametric methods while bearing optimal asymptotic properties also exhibit strong finite sample performance. Although our specific emphasis is on bioassay and environmental risk assessment, the methodology developed in this dissertation applies broadly to general order restricted inference.en_US
dc.typetexten_US
dc.typeElectronic Dissertationen_US
dc.subjectDose-response curveen_US
dc.subjectEffective dosage curveen_US
dc.subjectMean integrated squared erroren_US
dc.subjectMonotone shape constrained curve estimationen_US
dc.subjectMathematicsen_US
dc.subjectAsymptotic optimalityen_US
dc.subjectBioassayen_US
thesis.degree.namePh.D.en_US
thesis.degree.leveldoctoralen_US
thesis.degree.disciplineGraduate Collegeen_US
thesis.degree.disciplineMathematicsen_US
thesis.degree.grantorUniversity of Arizonaen_US
dc.contributor.advisorBhattacharya, Rabi N.en_US
dc.contributor.committeememberKennedy, Tom G.en_US
dc.contributor.committeememberPiegorsch, Walter W.en_US
dc.contributor.committeememberWatkins, Joseph C.en_US
dc.contributor.committeememberBhattacharya, Rabi N.en_US
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