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We show how one can actually take advantage of the strongly non-Gaussian nature of the fluctuations of financial assets to simplify the calculation of the Value-at-Risk of complex non linear portfolios. The resulting equations are not hard…

Condensed Matter · Physics 2007-05-23 Jean-Philippe Bouchaud , Marc Potters

Seemingly unrelated linear regression models are introduced in which the distribution of the errors is a finite mixture of Gaussian components. Identifiability conditions are provided. The score vector and the Hessian matrix are derived.…

Methodology · Statistics 2014-03-18 Giuliano Galimberti , Elena Scardovi , Gabriele Soffritti

Forward-looking correlations are of interest in different financial applications, including factor-based asset pricing, forecasting stock-price movements or pricing index options. With a focus on non-FX markets, this paper defines necessary…

Mathematical Finance · Quantitative Finance 2021-07-02 Wolfgang Schadner

This paper proposes a new approach to estimating the distribution of a response variable conditioned on observing some factors. The proposed approach possesses desirable properties of flexibility, interpretability, tractability and…

Methodology · Statistics 2023-03-16 Cheng Peng , Stanislav Uryasev

Effective general-purpose search strategies are an important component in Constraint Programming. We introduce a new idea, namely, using correlations between variables to guide search. Variable correlations are measured and maintained by…

Artificial Intelligence · Computer Science 2018-05-25 Ruiwei Wang , Wei Xia , Roland H. C. Yap

Motivated by differential co-expression analysis in genomics, we consider in this paper estimation and testing of high-dimensional differential correlation matrices. An adaptive thresholding procedure is introduced and theoretical…

Methodology · Statistics 2015-10-22 T. Tony Cai , Anru Zhang

Testing for series correlation among error terms is a basic problem in linear regression model diagnostics. The famous Durbin-Watson test and Durbin's h-test rely on certain model assumptions about the response and regressor variables. The…

Statistics Theory · Mathematics 2019-01-18 Yanqing Yin

Common asset holdings are widely believed to have been the primary vector of contagion in the recent financial crisis. We develop a network approach to the amplification of financial contagion due to the combination of overlapping…

General Finance · Quantitative Finance 2012-11-06 Fabio Caccioli , Munik Shrestha , Cristopher Moore , J. Doyne Farmer

We propose a modified time lag random matrix theory in order to study time lag cross-correlations in multiple time series. We apply the method to 48 world indices, one for each of 48 different countries. We find long-range power-law…

Statistical Finance · Quantitative Finance 2015-05-27 Duan Wang , Boris Podobnik , Davor Horvatić , H. Eugene Stanley

In economic applications, model averaging has found principal use examining the validity of various theories related to observed heterogeneity in outcomes such as growth, development, and trade.Though often easy to articulate, these…

Applications · Statistics 2019-10-16 Alex Lenkoski , Fredrik Lohne Aanes

This work proposes an augmented variant of DebtRank with uncertainty intervals as a method to investigate and assess systemic risk in financial networks, in a context of incomplete data. The algorithm is tested against a default contagion…

Risk Management · Quantitative Finance 2014-12-05 Stefano Gurciullo

Elastomers are viscoelastic materials and their properties significantly depend on the loading rate. The actual stress experienced by these materials is the sum of equilibrium and dissipative (inelastic) terms. At very low loading rates we…

Soft Condensed Matter · Physics 2018-03-14 K. A. Mokhireva , A. L. Svistkov

We introduce a new set of consistent measures of risks, in terms of the semi-invariants of pdf's, such that the centered moments and the cumulants of the portfolio distribution of returns that put more emphasis on the tail the…

Statistical Mechanics · Physics 2008-12-10 Y. Malevergne , D. Sornette

We investigate financial market correlations using random matrix theory and principal component analysis. We use random matrix theory to demonstrate that correlation matrices of asset price changes contain structure that is incompatible…

Statistical Finance · Quantitative Finance 2015-03-17 Daniel J. Fenn , Mason A. Porter , Stacy Williams , Mark McDonald , Neil F. Johnson , Nick S. Jones

We develop a novel multivariate semi-parametric framework for joint portfolio Value-at-Risk (VaR) and Expected Shortfall (ES) forecasting. Unlike existing univariate semi-parametric approaches, the proposed framework explicitly models the…

Risk Management · Quantitative Finance 2024-12-23 Giuseppe Storti , Chao Wang

We propose post-screening portfolio selection (PS$^2$), a two-step framework for high-dimensional mean--variance investing. First, assets are screened by Lasso-type regression of a constant on excess returns without an intercept. Second,…

Portfolio Management · Quantitative Finance 2026-04-21 Yoshimasa Uematsu , Shinya Tanaka

We demonstrate the use of Adaptive Stress Testing to detect and address potential vulnerabilities in a financial environment. We develop a simplified model for credit card fraud detection that utilizes a linear regression classifier based…

Artificial Intelligence · Computer Science 2021-07-09 Khalid El-Awady

The presence of significant cross-correlations between the synchronous time evolution of a pair of equity returns is a well-known empirical fact. The Pearson correlation is commonly used to indicate the level of similarity in the price…

Statistical Finance · Quantitative Finance 2014-02-07 Dror Y. Kenett , Xuqing Huang , Irena Vodenska , Shlomo Havlin , H. Eugene Stanley

Recent developments in deep learning techniques have motivated intensive research in machine learning-aided stock trading strategies. However, since the financial market has a highly non-stationary nature hindering the application of…

Portfolio Management · Quantitative Finance 2020-12-15 Kentaro Imajo , Kentaro Minami , Katsuya Ito , Kei Nakagawa

We employ a Bayesian modelling technique for high dimensional cointegration estimation to construct low volatility portfolios from a large number of stocks. The proposed Bayesian framework effectively identifies sparse and important…

Applications · Statistics 2024-07-16 Parley R Yang , Alexander Y Shestopaloff
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