2019
DOI: 10.1007/s10663-019-09464-3
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An analysis of systemic risk in worldwide economic sentiment indices

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Cited by 10 publications
(10 citation statements)
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“…However, in the presence of outliers observations in the empirical data, the empirical largest eigenvalue may significantly exceed the Marchenko-Pastur upper bound (Biroli et al, 2007;Bouchaud and Potters, 2009;Lux et al, 2019). In particular, if the largest absolute value of the empirical observations X and defined by max(|x i,j |) = S is larger than (N T ) 1 4 , the upper limit defined by the Marchenko-Pastur law shall be adjusted as follows:…”
Section: Methodsmentioning
confidence: 99%
See 1 more Smart Citation
“…However, in the presence of outliers observations in the empirical data, the empirical largest eigenvalue may significantly exceed the Marchenko-Pastur upper bound (Biroli et al, 2007;Bouchaud and Potters, 2009;Lux et al, 2019). In particular, if the largest absolute value of the empirical observations X and defined by max(|x i,j |) = S is larger than (N T ) 1 4 , the upper limit defined by the Marchenko-Pastur law shall be adjusted as follows:…”
Section: Methodsmentioning
confidence: 99%
“…In this paper we contribute to the above debate by means of a novel econometric procedure that allows one to identify and easily quantify synchronization patterns across European economies. More precisely, we employ the methods of Random Matrix Theory (RMT), a technique introduced by Wigner (1955) that it has recently gained success in the finance literature for performing empirical analyses upon assets cross-correlations and portfolios overlaps (Wang et al, 2011;Bun et al, 2017;Lux et al, 2019). The RMT technique has commonalities with Principal Component Analysis (PCA) and with Dynamic Factor (DF) models (see e.g.…”
Section: Introductionmentioning
confidence: 99%
“…Recently, RMT has been used to study synchronizations between different macroeconomic indicators (e.g. Ormerod and Mounfield 2000;Ormerod 2008;Iyetomi et al 2011;Yoshikawa et al 2015;Lux et al 2020). Indeed, the applications of RMT to the spectral analysis of various types of complex networks have also received considerable attention in related literature (Bandyopadhyay and Jalan 2007;de Carvalho et al 2009;Potestio et al 2009;Jalan 2009;Tran et al 2013;Dumitriu and Johnson 2016), but to the best of our knowledge none of them has studied the spectral properties of cross-correlations between nodes in one set in the formation of links or the strength of interactions with nodes in another set (e.g.…”
Section: Introductionmentioning
confidence: 99%
“…In addition, building Planar Maximally Filtered Graphs (PMFG) (Tumminello et al 2005;Pozzi et al 2008;Di Matteo et al 2010) from the correlation structure for different eigenmodes, we also analyse the network structure of correlations and investigate how this network changes in different periods. Furthermore, to infer systemic risk arising from credit extensions from banks to firms, we measure the absorption ratios that capture the fraction of the total variance explained by a finite number of the first principal components (Kritzman et al 2011;Billio et al 2012;Zheng et al 2012;Lux et al 2020). It should be emphasized that the procedure used in the present paper can be employed to filter noise signals and extract significant patterns out of different large bipartite networks including those in economics and finance such as bank-borrower credit networks, investor-asset networks.…”
Section: Introductionmentioning
confidence: 99%
“…In the first stage, the Business Confidence Index is used as an indicator that contains the expectations of four productive sectors: Construction, Industry, Commerce, and Services (Ochoa-Rico et al 2022). Therefore, it is estimated that every month, this index gathers the opinion on the present and future of entrepreneurs on issues related to variations in sales, production, hiring of employees, inventory level, input prices, and perspectives of the business situation (Lux et al 2020). This index meets the expectations of the Ecuadorian business sector.…”
mentioning
confidence: 99%