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In this article, we propose a new estimation methodology to deal with PCA for high-dimension, low-sample-size (HDLSS …) data. We first show that HDLSS datasets have different geometric representations depending on whether a ρ …-mixing-type dependency appears in variables or not. When the ρ-mixing-type dependency appears in variables, the HDLSS data converge to an n …
Persistent link: https://www.econbiz.de/10011041986
The recent global financial crisis has shown portfolio correlations between agents as one of the major channels of risk contagion and amplification. In this work, we analyse the structure and dynamics of the cross-correlation matrix of banks' loan portfolios in the yearly bank-firm credit...
Persistent link: https://www.econbiz.de/10014501966
In this paper, we investigate the temporal dynamics of correlations between sentiment indices worldwide. Employing the tools of Random Matrix Theory (RMT) and Principal Component Analysis (PCA), our paper aims to extract latent information embedded in the interactions between economic and...
Persistent link: https://www.econbiz.de/10011791083
It is well known that non-normality plays an important role in asset and risk management. However, handling a large number of assets has long been a challenge due to the curse of dimensionality. We describe a statistical technique, which we call Moment Component Analysis (MCA), that extends...
Persistent link: https://www.econbiz.de/10008797742
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In this paper, we investigate the temporal dynamics of correlations between sentiment indices worldwide. Employing the tools of Random Matrix Theory (RMT) and Principal Component Analysis (PCA), our paper aims to extract latent information embedded in the interactions between economic and...
Persistent link: https://www.econbiz.de/10011790790
Persistent link: https://www.econbiz.de/10014294856