Date of Award
Spring 5-17-2013
Degree Type
Thesis
Degree Name
Master of Science (MS)
Department
Mathematics and Statistics
First Advisor
Dr. Yuanhui Xiao
Second Advisor
Dr. Yu Xie
Third Advisor
Dr. Yichuan Zhao
Abstract
The Kolmogorov-Smirnov (K-S) test is widely used as a goodness-of-fit test. This thesis consists of two parts to describe ways to improve the classical K-S test in both 1-dimensional and 2-dimensional data. The first part is about how to improve the accuracy of the classical K-S goodness-of-fit test in 1-dimensional data. We replace the p-values estimated by the asymptotic distribution with near-exact p-values. In the second part, we propose two new methods to increase power of the widely used 2-dimensional two-sample Fasano and Franceschini test. Simulation studies show the new methods are significantly more powerful than the Fasano and Franceschini’s test.
DOI
https://doi.org/10.57709/4075144
Recommended Citation
Dong, Xing, "Small Improvement to the Kolmogorov-Smirnov Test." Thesis, Georgia State University, 2013.
doi: https://doi.org/10.57709/4075144