Title
Improving p-value approximation and level accuracy of Monte Carlo tests by quasi-Monte Carlo methods
Abstract
We argue and show empirically that for the Monte Carlo test, if the pseudo-random numbers are replaced by a randomized low discrepancy sequence, the actual errors in approximating the p-value are smaller and the deviations of the exact level from the nominal level have higher potential to be smaller. Hence in real applications the proposed method, called randomized quasi-Monte Carlo test, is suggested to be used instead of the traditional Monte Carlo test.
Year
DOI
Venue
2022
10.1080/03610918.2019.1667389
COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION
Keywords
DocType
Volume
Monte Carlo test, Quasi-Monte Carlo, Resampling, Sobol' sequence
Journal
51
Issue
ISSN
Citations 
3
0361-0918
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Sung Nok Chiu1123.37
Kwong Ip Liu292.15