Title
On NonAsymptotic Optimal Stopping Criteria in Monte Carlo Simulations.
Abstract
We consider the setting of estimating the mean of a random variable by a sequential stopping rule Monte Carlo (MC) method. The performance of a typical second moment based sequential stopping rule MC method is shown to be unreliable in such settings both by numerical examples and through analysis. By analysis and approximations, we construct a higher moment based stopping rule which is shown in numerical examples to perform more reliably and only slightly less efficiently than the second moment based stopping rule.
Year
DOI
Venue
2014
10.1137/130911433
SIAM JOURNAL ON SCIENTIFIC COMPUTING
Keywords
Field
DocType
Monte Carlo methods,optimal stopping,sequential stopping rules,nonasymptotic
Mathematical optimization,Random variable,Monte Carlo method,Optimal stopping,Computational mathematics,Sequential estimation,Stopping rule,Mathematics,Second moment of area
Journal
Volume
Issue
ISSN
36
2
1064-8275
Citations 
PageRank 
References 
3
0.62
2
Authors
4
Name
Order
Citations
PageRank
Christian Bayer151.37
Håkon Hoel2214.02
Erik von Schwerin3383.13
Raul447754.12