Mean Squared Error For Optimal Designs in the Polynomial and Spline Regression
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Authors
Peters, Hollis
Date
Type
thesis
Language
eng
Keyword
Optimal Design , Statistics , Nonparametric Regression
Alternative Title
Abstract
This thesis aims to further expand the existing optimal design theory for polynomial and spline regression models. We will show that the classical minimax design in polynomial regression models leads to the recently introduced stronger notion of R-optimality.
Furthermore, we aim to clarify the notion of optimal design theory for spline regression models. We will describe various types of cardinal splines and discuss related to them various theorems within the context of optimal design.
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Queen's University's Thesis/Dissertation Non-Exclusive License for Deposit to QSpace and Library and Archives Canada
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Copying and Preserving Your Thesis
This publication is made available by the authority of the copyright owner solely for the purpose of private study and research and may not be copied or reproduced except as permitted by the copyright laws without written authority from the copyright owner.
ProQuest PhD and Master's Theses International Dissemination Agreement
Intellectual Property Guidelines at Queen's University
Copying and Preserving Your Thesis
This publication is made available by the authority of the copyright owner solely for the purpose of private study and research and may not be copied or reproduced except as permitted by the copyright laws without written authority from the copyright owner.