2017
DOI: 10.1155/2017/9586064
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The Multiplex Dependency Structure of Financial Markets

Abstract: We propose here a multiplex network approach to investigate simultaneously different types of dependency in complex datasets. In particular, we consider multiplex networks made of four layers corresponding, respectively, to linear, nonlinear, tail, and partial correlations among a set of financial time series. We construct the sparse graph on each layer using a standard network filtering procedure, and we then analyse the structural properties of the obtained multiplex networks. The study of the time evolution… Show more

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Cited by 72 publications
(44 citation statements)
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“…A sparse precision matrix provides an easily interpretable and intuitive structure of the market state with all the most relevant dependencies directly interconnected in a sparse network. Furthermore, sparsity reduces the number of parameters from order n 2 (with n the number of variables) to order n preventing overfitting (Lauritzen 1996) and filtering out noisy correlations (Barfuss et al 2016, Musmeci et al 2017.…”
Section: Introductionmentioning
confidence: 99%
“…A sparse precision matrix provides an easily interpretable and intuitive structure of the market state with all the most relevant dependencies directly interconnected in a sparse network. Furthermore, sparsity reduces the number of parameters from order n 2 (with n the number of variables) to order n preventing overfitting (Lauritzen 1996) and filtering out noisy correlations (Barfuss et al 2016, Musmeci et al 2017.…”
Section: Introductionmentioning
confidence: 99%
“…The multilayer formulation allows for novel approaches to the study of the dynamics of the economy. Musmeci et al [83] applied the multilayer approach to study the structure of financial markets by building a multilayer network where each layer represents the same data but the links are constructed using different correlation measures: Pearson, Kendall, Tail and Partial correlation. In this way they can provide a complete picture of the market dependency structure as the Pearson layer accounts for linear dependencies, the Kendall layer for monotonic nonlinearity, the Tail gives information about correlations in the tails of the distributions and finally the Partial correlation detects direct relationship that are not explained by the market.…”
Section: Multilayer Network In Economymentioning
confidence: 99%
“…The study of financial multiplex networks has only appeared recently. Empirical analyses of the financial multiplex networks of Colombia, UK, Mexico, Italy, Europe, and USA are provided by León et al [28], Langfield et al [29], Molina-Borboa et al [30], Bargigli et al [31], Aldasoro and Alves [32], and Musmeci et al [33], respectively.…”
Section: Introductionmentioning
confidence: 99%
“…Aldasoro and Alves [32] adopt data on interbank exposures broken down by both maturity and instrument type to investigate structures of the multiplex network of large European banks and find that the network presents positive correlated multiplexity and a high similarity between layers. Musmeci et al [33] analyze structural properties of the multiplex network of US stock markets, which includes four layers corresponding, respectively, to linear, nonlinear, tail, and partial correlations among a set of financial time series. They find that some features are unique to the multiplex structure and would not be visible otherwise by the separate analysis of the single-layer networks.…”
Section: Introductionmentioning
confidence: 99%