Title
Non-Nested Estimators For The Central Moments Of A Conditional Expectation And Their Convergence Properties
Abstract
The central moments of a conditional expectation exhibit important statistical properties, and the variance is used in many important applications. This paper proposes three non-nested estimators for the central moments that guarantee the asymptotic mean squared error (MSE) of order Gamma(-1), where Gamma represents the total computational budget. Moreover, the central limit theorems are provided, along with the confidence intervals with a convergence rate of Gamma(-1/2). Examples are used to verify the theoretical results and compare the finite sample performance. (C) 2021 Elsevier B.V. All rights reserved.
Year
DOI
Venue
2021
10.1016/j.orl.2021.06.012
OPERATIONS RESEARCH LETTERS
Keywords
DocType
Volume
Nested simulation, Central moments, Non-nested estimation, Convergence rate, Central limit theorems
Journal
49
Issue
ISSN
Citations 
5
0167-6377
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Hong-Fa Cheng100.34
Kun Zhang200.34