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On the non-stationarity of financial time series: impact on optimal portfolio selection
non-stationarity of financial time series impact optimal portfolio selection Statistical Finance
2012/6/2
We investigate the possible drawbacks of employing the standard Pearson estimator to measure correlation coefficients between financial stocks in the presence of non-stationary behavior, and we provid...
Segmentation analysis on a multivariate time series of the foreign exchange rates
finite multivariate Gaussian mixture Jensen-Shannon divergence variance-covariance matrix cross-sectional analysis
2012/6/2
This study considers the multivariate segmentation procedure under the assumption of the multivariate Gaussian mixture. Jensen-Shannon divergence between two multivariate Gaussian distributions is emp...
Quantitative features of multifractal subtleties in time series
Quantitative features multifractal subtleties time series
2010/11/1
Based on the Multifractal Detrended Fluctuation Analysis (MFDFA) and on the Wavelet Transform Modulus Maxima (WTMM) methods we investigate the origin of multifractality in the time series.
Superfamily classification of nonstationary time series based on DFA scaling exponents
Superfamily classification DFA scaling exponents
2010/11/3
The superfamily phenomenon of time series with different dynamics can be charac-terized by the motif rank patterns observed in the nearest-neighbor networks of the time series in phase space. However,...
A mathematical proof of the existence of trends in financial time series
Financial time series mathematical finance technical analysis trends
2010/10/29
We are settling a longstanding quarrel in quantitative finance by proving the existence of trends in financial time series thanks to a theorem due to P. Cartier and Y. Perrin, which is expressed in th...