Principal Component Regression for Construction of Wing Weight Estimation Models

<p>The multivariate data fitting problem occurs frequently in many branches of science and engineering. It is very easy to fit a data set exactly by a mathematical model no matter how the data points are distributed. But building a response by using a limited number of poorly distributed data points is very unreliable, yet necessary in conceptual design process. This thesis documents the lessons learned from fitting the wing weight data of 41 subsonic transports by three types of interpolation methods---least polynomial interpolation, radial basis function interpolation, and Kriging interpolation. The objective of this thesis is to develop an automatic procedure of using this interpolation methods for construction of an approximation of the relationship between the actual wing weight and various key configuration parameters of wing by using actual wing weight data of 41 subsonic transports. The focus of the thesis is on four key technical issues in practical use of approximation methods: data generation and variable screening, fitting the data by a parametric function model, tuning intrinsic model parameters by using cross-validation, and verification of constructed approximation. One controversial topic is the assessment of the constructed approximations, which is of great importance to practitioners but depends too much on subjective judgment. Some formal approaches for the assessment will be proposed and analyzed. Even though the benefits of using principal component regression with cross validation are only demonstrated by the wing weight data fitting problem, the proposed methodology could have significant advantages in fitting other historical or hard-to-obtain data.</p>

Name thesis:degree_name

Doctor of Philosophy (PhD)

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Mathematics & Statistics

Year dc:date.available

2005

Author dc:creator

• Rocha, Humberto

Contributors dc:contributor

• John J. Swetits
• Fang Q. Hu
• Przemyslaw Bogacki
• Dayanand N. Naik
• Wu Li

• Multivariate data fitting
• Principal component regression
• Radial basis functions
• Wing weight
• Mathematics

Statement dc:rights

• <p>In Copyright. URI: <a href="http://rightsstatements.org/vocab/InC/1.0/">http://rightsstatements.org/vocab/InC/1.0/</a> This Item is protected by copyright and/or related rights. You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s).</p>

Identifier

9780542360824

OAI identifier oai:identifier

oai:digitalcommons.odu.edu:mathstat_etds-1054