Robust Estimation of Multiple Regression Model with asymmetric innovations and Its Applicability on Asset Pricing Model
AbstractIn this paper, we first develop the modified maximum likelihood (MML) estimators for the multiple regression coefficients in linear model with the underlying distribution assumed to be symmetric, one of Student's t family. We obtain the closed form of the estimators and derive their asymptotic properties. In addition, we demonstrate that the MML estimators are more appropriate to estimate the parameters in the Capital Asset Pricing Model by comparing its performance with that of least squares estimators (LSE) on the monthly returns of US portfolios. Our empirical study reveals that the MML estimators are more efficient than the LSE in terms of relative efficiency of one-step-ahead forecast mean square error for small samples.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoPaper provided by National University of Singapore, Department of Economics in its series Departmental Working Papers with number wp0508.
Date of creation: May 2005
Date of revision:
Maximum likelihood estimators; Modified maximum likelihood estimators; Student’s t family; Capital Asset Pricing Model; Robustness;
Find related papers by JEL classification:
- C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General
- C2 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables
- G1 - Financial Economics - - General Financial Markets
This paper has been announced in the following NEP Reports:
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Li, Tong, 2002. "Robust and consistent estimation of nonlinear errors-in-variables models," Journal of Econometrics, Elsevier, vol. 110(1), pages 1-26, September.
- Sharpe, William F., 1967. "Portfolio Analysis," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 2(02), pages 76-84, June.
- Blume, Marshall E, 1975. "Betas and Their Regression Tendencies," Journal of Finance, American Finance Association, vol. 30(3), pages 785-95, June.
- Li, Tong & Hsiao, Cheng, 2004. "Robust estimation of generalized linear models with measurement errors," Journal of Econometrics, Elsevier, vol. 118(1-2), pages 51-65.
- Hsiao, Cheng, 1989.
"Consistent estimation for some nonlinear errors-in-variables models,"
Journal of Econometrics,
Elsevier, vol. 41(1), pages 159-185, May.
- Hsiao, C., 1988. "Consistent Estimation For Some Nonlinear Errors-In- Variables Models," Papers m8810, Southern California - Department of Economics.
- Drost, F.C. & Nijman, T.E., 1992.
"Temporal Aggregation of Garch Processes,"
9240, Tilburg - Center for Economic Research.
- Drost, F.C. & Nijman, T.E., 1992. "Temporal aggregation of GARCH processes," Discussion Paper 1992-40, Tilburg University, Center for Economic Research.
- Drost, F.C. & Nijman, T.E., 1990. "Temporal Aggregation Of Garch Processes," Papers 9066, Tilburg - Center for Economic Research.
- Drost, F.C. & Nijman, T.E., 1990. "Temporal aggregation of GARCH processes," Discussion Paper 1990-66, Tilburg University, Center for Economic Research.
- Drost, F.C. & Nijman, T.E., 1993. "Temporal aggregation of GARCH processes," Open Access publications from Tilburg University urn:nbn:nl:ui:12-153273, Tilburg University.
- Wing-Keung Wong & Raymond H. Chan, 2004.
"On the Estimation of Cost of Capital and its Reliability,"
Departmental Working Papers
wp0401, National University of Singapore, Department of Economics.
- Wing-keung Wong & Raymond Chan, 2004. "On the estimation of cost of capital and its reliability," Quantitative Finance, Taylor & Francis Journals, vol. 4(3), pages 365-372.
- Clements, Michael P. & Hendry, David F., 1997. "An empirical study of seasonal unit roots in forecasting," International Journal of Forecasting, Elsevier, vol. 13(3), pages 341-355, September.
- Amemiya, Yasuo, 1985. "Instrumental variable estimator for the nonlinear errors-in-variables model," Journal of Econometrics, Elsevier, vol. 28(3), pages 273-289, June.
- Wong, Wing-Keung & Bian, Guorui, 2005.
"Estimating parameters in autoregressive models with asymmetric innovations,"
Statistics & Probability Letters,
Elsevier, vol. 71(1), pages 61-70, January.
- Wing-Keung Wong & Guorui Bian, 2004. "Estimating Parameters in Autoregressive Models with Asymmetric Innovations," Departmental Working Papers wp0408, National University of Singapore, Department of Economics.
- Clark, Peter K, 1973. "A Subordinated Stochastic Process Model with Finite Variance for Speculative Prices," Econometrica, Econometric Society, vol. 41(1), pages 135-55, January.
- Hausman, J. A. & Abrevaya, Jason & Scott-Morton, F. M., 1998. "Misclassification of the dependent variable in a discrete-response setting," Journal of Econometrics, Elsevier, vol. 87(2), pages 239-269, September.
- Hsiao, Cheng & Sun, Bao-Hong, 1998. "Modeling survey response bias - with an analysis of the demand for an advanced electronic device," Journal of Econometrics, Elsevier, vol. 89(1-2), pages 15-39, November.
- Gibbons, Michael R & Ross, Stephen A & Shanken, Jay, 1989. "A Test of the Efficiency of a Given Portfolio," Econometrica, Econometric Society, vol. 57(5), pages 1121-52, September.
- Harvey, Campbell R. & Zhou, Guofu, 1993.
"International asset pricing with alternative distributional specifications,"
Journal of Empirical Finance,
Elsevier, vol. 1(1), pages 107-131, June.
- Campbell R. Harvey & Guofu Zhou, 1993. "International asset pricing with alternative distributional specifications," CEMA Working Papers 277, China Economics and Management Academy, Central University of Finance and Economics.
- Honore, Bo E. & Hu, Luojia, 2004. "Estimation of cross sectional and panel data censored regression models with endogeneity," Journal of Econometrics, Elsevier, vol. 122(2), pages 293-316, October.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: ().
If references are entirely missing, you can add them using this form.