Efficient and robust estimation for financial returns: an approach based on q-entropy
AbstractWe consider a new robust parametric estimation procedure, which minimizes an empirical version of the Havrda-Charvàt-Tsallis entropy. The resulting estimator adapts according to the discrepancy between the data and the assumed model by tuning a single constant q, which controls the trade-off between robustness and effciency. The method is applied to expected return and volatility estimation of financial asset returns under multivariate normality. Theoretical properties, ease of implementability and empirical results on simulated and financial data make it a valid alternative to classic robust estimators and semi-parametric minimum divergence methods based on kernel smoothing.
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Bibliographic InfoPaper provided by University of Modena and Reggio E., Dept. of Economics in its series Center for Economic Research (RECent) with number 041.
Length: pages 38
Date of creation: Feb 2010
Date of revision:
q-entropy; robust estimation; power-divergence; financial returns;
Other versions of this item:
- Davide Ferrari & Sandra Paterlini, 2010. "Efficient and robust estimation for financial returns: an approach based on q-entropy," Department of Economics 0623, University of Modena and Reggio E., Faculty of Economics "Marco Biagi".
- C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
- G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
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