Date of Award

8-1-2023

Degree Name

Doctor of Philosophy

Department

Mathematics

First Advisor

Olive, David

Abstract

ARMA model selection with criterion such as AIC and BIC tends not to select a consistent ARMA model with high probability. Hence data splitting is not reliable. One technique was fairly reliable with large sample sizes, and a modification also worked.The DD plot for visualizing prediction regions can also be used to visualize three bootstrap confidence regions.

Available for download on Wednesday, October 22, 2025

Share

COinS
 

Access

This dissertation is only available for download to the SIUC community. Current SIUC affiliates may also access this paper off campus by searching Dissertations & Theses @ Southern Illinois University Carbondale from ProQuest. Others should contact the interlibrary loan department of your local library or contact ProQuest's Dissertation Express service.