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New characteristics for portfolio surveillance
Authors:Vasyl Golosnoy  Iryna Okhrin  Wolfgang Schmid
Institution:1. Institute of Statistics and Econometrics, Kiel University , Olshausenstr. 40, D24118, Kiel, Germany vgolosnoy@stat-econ.uni-kiel.de;3. Department of Statistics , European University Viadrina , Frankfurt (Oder), D15230, Germany
Abstract:This paper elaborates the tools for the surveillance of the global minimum variance portfolio weights. Golosnoy and Schmid V. Golosnoy and W. Schmid, EWMA control charts for optimal portfolio weights, Sequential Anal. 26 (2007), pp. 195–224] introduced exponentially weighted moving average-type control charts for this task based on the processes of the estimated weights as well as of their first differences. This paper proposes the new approximations to these processes exhibiting better stochastic properties for sequential monitoring purposes. The control schemes for the new processes are compared for different types of economically relevant changes using Monte Carlo simulations. The suggested procedures appear to be superior for the considered performance measures.
Keywords:statistical process control  EWMA control charts  multivariate normal distribution  optimal portfolio weights  volatility timing
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