Title
A New Unbiased Stochastic Derivative Estimator for Discontinuous Sample Performances with Structural Parameters
Abstract
AbstractIn this paper, we propose a new unbiased stochastic derivative estimator in a framework that can handle discontinuous sample performances with structural parameters. This work extends the three most popular unbiased stochastic derivative estimators: (1) infinitesimal perturbation analysis (IPA), (2) the likelihood ratio (LR) method, and (3) the weak derivative method, to a setting where they did not previously apply. Examples in probability constraints, control charts, and financial derivatives demonstrate the broad applicability of the proposed framework. The new estimator preserves the single-run efficiency of the classic IPA-LR estimators in applications, which is substantiated by numerical experiments.The online appendix is available at https://doi.org/10.1287/opre.2017.1674.
Year
DOI
Venue
2018
10.1287/opre.2017.1674
Periodicals
Keywords
Field
DocType
simulation,stochastic derivative estimation,discontinuous sample performance,likelihood ratio,perturbation analysis,weak derivative
Applied mathematics,Mathematical optimization,Weak derivative,Perturbation theory,Infinitesimal perturbation analysis,Control chart,Mathematics,Derivative (finance),Estimator
Journal
Volume
Issue
ISSN
66
2
0030-364X
Citations 
PageRank 
References 
2
0.37
0
Authors
4
Name
Order
Citations
PageRank
Yijie Peng13212.59
Michael C. Fu21161128.16
Jian-Qiang Hu330439.79
Bernd Heidergott412723.31