A Monte Carlo Study of Non-Linear Regression Theory

Author

Ya-ming Liu, Utah State University

Date of Award:

5-1966

Document Type:

Thesis

Degree Name:

Master of Science (MS)

Department:

Mathematics and Statistics

Department name when degree awarded

Statistics

Committee Chair(s)

Rex L. Hurst

Committee

Rex L. Hurst

Abstract

Multiple regression provides the capability of using non-linear functions to fit various curvilinear surfaces. These non-linear functions are, however, linear in the parameters. Non-linear term of the variables such as X², X³, ln X, X, YX are incorporated in a linear model. For example:

Y = b₀ + b₁ x₁ + b₂ x₁² + b₃ lnx₂ + ϵ

Many practical situations require the fitting of mathematical functions which are non-linear in the parameters and perhaps the variables. For example:

Y = b, e^b₂X + ϵ

Checksum

c0036f6cc3bb31b06675071eff4e9434

Recommended Citation

Liu, Ya-ming, "A Monte Carlo Study of Non-Linear Regression Theory" (1966). All Graduate Theses and Dissertations, Spring 1920 to Summer 2023. 6820.
https://digitalcommons.usu.edu/etd/6820