This describes a statistical technique called “tonsuring” for exploratory data analysis in finance. Instead of rejecting “outlier” data that conflicts with the model, this strips out “inlier” data to get a clearer picture of how the market changes for larger moves.
BadrinathS.G., & ChatterjeeS. (1988). On Measuring skewness and Elongation in Common Stock Return Distributions. J. Business, 61, 451-472.
2.
BiroliG.BouchaudJ-P., & PottersM. (2007, October 3). The Student ensemble of correlation matrices. Retrieved from http://arxiv.org/abs/0710.0802.
3.
BoyerB.H.GibsonM.S., & LoretanM. (1997, December). Pitfalls In Tests For Changes In Correlations. Retrieved from http://www.federalreserve.gov/pubs/ifdp/1997/597/ifdp597.pdf.
4.
CappielloL.GérardB., & ManganelliS. (2005, July 28). Measuring Comovements By Regression Quantiles. Retrieved from http://ssrn.com/abstract_id=742507.
5.
GerigA. (2010, July 14) Universal Laws and Economic Phenomena. Retrieved from http://arxiv.org/abs/1002.0377.
6.
HettmanspergerT.P., & McKeanJ.W. (2010). Robust Nonparametric Statistical Methods. New York, NY: Chapman and Hall/CRC Press.
JoeH. (1997). Multivariate Models and Dependence Concepts page 54, exercise 2.9. New York, NY: Chapman and Hall/CRC Press.
9.
JoeH. (2015). Dependence Modeling with Copulas, Section 2.13. New York, NY: Chapman and Hall/CRC Press.
10.
JurečováJ., & SenP.K. (1996). Robust Statistical Procedures: Asymptotics and Interrelations. New York, NY: Wiley.
11.
LuoX., & ShevchenkoP.V. (2010). The t copula with multiple parameters of degrees of freedom: bivariate characteristics and application to risk management. Quantitative Finance, 10, 1039-1054.
12.
McGintyL.AhluwaliaR.WattsM., & BernsteinE. (2004, March 12). Credit Correlation: A Guide. Retrieved from https://docuri.com/download/credit-correlation-a-guide_59c1d8b8f581710b286781c0_pdf.
13.
MercurioD., & SpokoinyV. (2004). Statistical Inference For Time-Inhomogeneous Volatility Models. Annals of Statistics, 32, 577-602.
14.
SchinkusC. (2009). Economic uncertainty and econophysics. Physica A, 388, 4415-4423.
15.
WignerE. (1960). The Unreasonable Effectiveness Of Mathematics In The Natural Sciences. Communications in Pure and Applied Mathematics, 13, 1-14.
