RMT Assessments of the Market Latent Information Embedded in the Stocks' Raw, Normalized, and Partial Correlations

We present here assessment of the latent market information embedded in the raw, affinity (normalized), and partial correlations. We compared the Zipf plot, spectrum, and distribution of the eigenvalues fo...

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Main Authors: Dror Y. Kenett, Yoash Shapira, Eshel Ben-Jacob
Format: Article
Language:English
Published: Wiley 2009-01-01
Series:Journal of Probability and Statistics
Online Access:http://dx.doi.org/10.1155/2009/249370
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author Dror Y. Kenett
Yoash Shapira
Eshel Ben-Jacob
author_facet Dror Y. Kenett
Yoash Shapira
Eshel Ben-Jacob
author_sort Dror Y. Kenett
collection DOAJ
description We present here assessment of the latent market information embedded in the raw, affinity (normalized), and partial correlations. We compared the Zipf plot, spectrum, and distribution of the eigenvalues for each matrix with the results of the corresponding random matrix. The analysis was performed on stocks belonging to the New York and Tel Aviv Stock Exchange, for the time period of January 2000 to March 2009. Our results show that in comparison to the raw correlations, the affinity matrices highlight the dominant factors of the system, and the partial correlation matrices contain more information. We propose that significant stock market information, which cannot be captured by the raw correlations, is embedded in the affinity and partial correlations. Our results further demonstrate the differences between NY and TA markets.
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spelling doaj-art-d95c06f32ebe411dbba1856dd2d605182025-02-03T00:59:35ZengWileyJournal of Probability and Statistics1687-952X1687-95382009-01-01200910.1155/2009/249370249370RMT Assessments of the Market Latent Information Embedded in the Stocks' Raw, Normalized, and Partial CorrelationsDror Y. Kenett0Yoash Shapira1Eshel Ben-Jacob2School of Physics and Astronomy, The Raymond and Beverly Sackler Faculty of Exact Sciences, Tel-Aviv University, Tel-Aviv 69978, IsraelSchool of Physics and Astronomy, The Raymond and Beverly Sackler Faculty of Exact Sciences, Tel-Aviv University, Tel-Aviv 69978, IsraelSchool of Physics and Astronomy, The Raymond and Beverly Sackler Faculty of Exact Sciences, Tel-Aviv University, Tel-Aviv 69978, IsraelWe present here assessment of the latent market information embedded in the raw, affinity (normalized), and partial correlations. We compared the Zipf plot, spectrum, and distribution of the eigenvalues for each matrix with the results of the corresponding random matrix. The analysis was performed on stocks belonging to the New York and Tel Aviv Stock Exchange, for the time period of January 2000 to March 2009. Our results show that in comparison to the raw correlations, the affinity matrices highlight the dominant factors of the system, and the partial correlation matrices contain more information. We propose that significant stock market information, which cannot be captured by the raw correlations, is embedded in the affinity and partial correlations. Our results further demonstrate the differences between NY and TA markets.http://dx.doi.org/10.1155/2009/249370
spellingShingle Dror Y. Kenett
Yoash Shapira
Eshel Ben-Jacob
RMT Assessments of the Market Latent Information Embedded in the Stocks' Raw, Normalized, and Partial Correlations
Journal of Probability and Statistics
title RMT Assessments of the Market Latent Information Embedded in the Stocks' Raw, Normalized, and Partial Correlations
title_full RMT Assessments of the Market Latent Information Embedded in the Stocks' Raw, Normalized, and Partial Correlations
title_fullStr RMT Assessments of the Market Latent Information Embedded in the Stocks' Raw, Normalized, and Partial Correlations
title_full_unstemmed RMT Assessments of the Market Latent Information Embedded in the Stocks' Raw, Normalized, and Partial Correlations
title_short RMT Assessments of the Market Latent Information Embedded in the Stocks' Raw, Normalized, and Partial Correlations
title_sort rmt assessments of the market latent information embedded in the stocks raw normalized and partial correlations
url http://dx.doi.org/10.1155/2009/249370
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