Year
2021
Season
Spring
Paper Type
Master's Thesis
College
College of Arts and Sciences
Degree Name
Master of Science (MS)
Department
Mathematics & Statistics
NACO controlled Corporate Body
University of North Florida. Department of Mathematics and Statistics
First Advisor
Dr. Ping Sa
Second Advisor
Dr. Fei Heng
Rights Statement
http://rightsstatements.org/vocab/InC/1.0/
Third Advisor
Dr. Tyler Grimes
Department Chair
Dr. Richard Patterson
College Dean
Dr. George Rainbolt
Abstract
Tolerance limits are constructed from sample data to ascertain if a proportion of a process is within specification limits. There exists multiple methods of calculating the sample size requirements for tolerance limits under various assumptions. In this research, a distribution-specific algorithm that utilizes the exponentially weighted moving average technique (EWMA), first introduced by Sa and Razaila (2004), is reconstructed. The algorithm is used to calculate the required sample sizes for continuous construction of upper-sided tolerance limits. The sample sizes and intervals constructed from them are compared to three existing methods for various distributions. The distribution-specific algorithm was observed to reduce the sample size requirements more rapidly, and to a greater extent, than the competitors.
Suggested Citation
Visser, Owen, "Upper-Sided EWMA-Based Distribution-Specific Tolerance Limits" (2021). UNF Graduate Theses and Dissertations. 1010.
https://digitalcommons.unf.edu/etd/1010