Quantifying and correcting the bias in estimated risk measures

被引:21
作者
Kim, Joseph Hyun Tae [1 ]
Hardy, Mary R. [1 ]
机构
[1] Univ Waterloo, Waterloo, ON N2L 3G1, Canada
来源
ASTIN BULLETIN | 2007年 / 37卷 / 02期
关键词
D O I
10.2143/AST.37.2.2024072
中图分类号
F [经济];
学科分类号
02 ;
摘要
In this paper we explore the bias in the estimation of the Value at Risk and Conditional Tail Expectation risk measures using Monte Carlo simulation. We assess the use of bootstrap techniques to correct the bias for a number of different examples. In the case of the Conditional Tail Expectation, we show that application of the exact bootstrap can improve estimates, and we develop a practical guideline for assessing when to use the exact bootstrap.
引用
收藏
页码:365 / 386
页数:22
相关论文
共 19 条
[1]  
*AAA LIF CAP AD SU, 2005, REC APPR SETT REG RI
[2]   Coherent measures of risk [J].
Artzner, P ;
Delbaen, F ;
Eber, JM ;
Heath, D .
MATHEMATICAL FINANCE, 1999, 9 (03) :203-228
[3]  
*CIA SEG FUNDS TAS, 2002, REP CIA TASK FORC SE
[4]  
DAVID HA, 1981, ORDER STAT
[5]  
DAVISON AC, 1997, BOOTSTRAP METHODS AP
[6]  
Efron B., 1993, INTRO BOOTSTRAP MONO, DOI DOI 10.1201/9780429246593
[7]  
HALL P, 1992, SPRINGER SERIES STAT
[8]  
HARDY MR, 2003, INVETSMENT GUARANTEE
[9]  
HARRELL FE, 1982, BIOMETRIKA, V69, P635
[10]   The exact bootstrap mean and variance of an L-estimator [J].
Hutson, AD ;
Ernst, MD .
JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES B-STATISTICAL METHODOLOGY, 2000, 62 :89-94