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When dealing with non-stationary systems, for which many time series are available, it is common to divide time in epochs, i.e. smaller time intervals and deal with short time series in the hope to have some form of approximate stationarity…

Data Analysis, Statistics and Probability · Physics 2021-11-17 Manan Vyas , T. Guhr , T. H. Seligman

We propose a novel approach to sentiment data filtering for a portfolio of assets. In our framework, a dynamic factor model drives the evolution of the observed sentiment and allows to identify two distinct components: a long-term…

General Finance · Quantitative Finance 2020-09-08 Danilo Vassallo , Giacomo Bormetti , Fabrizio Lillo

Researchers have studied the first passage time of financial time series and observed that the smallest time interval needed for a stock index to move a given distance is typically shorter for negative than for positive price movements. The…

Statistical Finance · Quantitative Finance 2009-03-23 Johannes Vitalis Siven , Jeffrey Todd Lins , Jonas Lundbek Hansen

In many physical, social or economical phenomena we observe changes of a studied quantity only in discrete, irregularly distributed points in time. The stochastic process used by physicists to describe this kind of variables is the…

Statistical Finance · Quantitative Finance 2020-04-14 Jarosław Klamut , Tomasz Gubiec

This paper studies the time-varying structure of the equity market with respect to market capitalization. First, we analyze the distribution of the 100 largest companies' market capitalizations over time, in terms of inequality,…

Mathematical Finance · Quantitative Finance 2025-02-21 Nick James , Max Menzies

To identify emerging interdependencies between traded stocks we investigate the behavior of the stocks of FTSE 100 companies in the period 2000-2015, by looking at daily stock values. Exploiting the power of information theoretical measures…

Statistical Finance · Quantitative Finance 2017-07-05 Jacopo Rocchi , Enoch Yan Lok Tsui , David Saad

Prediction models calibrated using historical data may forecast poorly if the dynamics of the present and future differ from observations in the past. For this reason, predictions can be improved if information like forward looking views…

Optimization and Control · Mathematics 2025-09-16 Anas Abdelhakmi , Andrew E. B. Lim

Financial markets are interconnected, with micro-currents propagating across global markets and shaping economic trends. This paper moves beyond traditional stock market indices to examine cross-sectional return distributions-15 in our…

General Economics · Economics 2025-11-27 Ping Wu , Dan Zhu

This study analyzes the dynamic interactions among the NASDAQ index, crude oil, gold, and the US dollar using a reduced-order modeling approach. Time-delay embedding and principal component analysis are employed to encode high-dimensional…

Statistical Finance · Quantitative Finance 2025-12-24 Pouriya Khalilian , Sara Azizi , Mohammad Hossein Amiri , Javad T. Firouzjaee

Estimating time-varying correlation matrices is challenging because existing methods may adapt slowly to structural changes, impose insufficient regularization, or produce diffuse posterior uncertainty. In moderate dimensions, an additional…

Methodology · Statistics 2026-05-11 Daniel Andrew Coulson , David S. Matteson , Martin T. Wells

In this paper, we use replica analysis to investigate the influence of correlation among the return rates of assets on the solution of the portfolio optimization problem. We consider the behavior of the optimal solution for the case where…

Portfolio Management · Quantitative Finance 2017-05-19 Takashi Shinzato

We adopt the concept of the correlation matrix to study correlations among sequences of time-extended events occuring repeatedly at consecutive time-intervals. As an application we analyse the magnetoencephalography recordings obtained from…

Statistical Mechanics · Physics 2009-10-31 J. Kwapien , S. Drozdz , A. A. Ioannides

Studying the micro-trading behaviors before stock price jumps is an important problem for financial regulations and investment decisions. In this study, we provide a new framework to study pre-jump trading behaviors based on multivariate…

Statistical Finance · Quantitative Finance 2021-03-01 Ao Kong , Robert Azencott , Hongliang Zhu , Xindan Li

In this paper, We propose a new style panel data factor stochastic volatility model with observable factors and unobservable factors based on the multivariate stochastic volatility model, which is mainly composed of three parts, such as the…

Methodology · Statistics 2019-04-09 Guobin Fang , Huimin Ma , Michelle Xia , Bo Zhang

For the pedestrian observer, financial markets look completely random with erratic and uncontrollable behavior. To a large extend, this is correct. At first approximation the difference between real price changes and the random walk model…

Statistical Finance · Quantitative Finance 2011-08-22 Laurent Schoeffel

We investigate the statistical properties of the correlation matrix between individual stocks traded in the Korean stock market using the random matrix theory (RMT) and observe how these affect the portfolio weights in the Markowitz…

Statistical Finance · Quantitative Finance 2011-04-06 Gabjin Oh , Cheoljun Eom , Fengzhong Wang , Woo-Sung Jung , H. Eugene Stanley , Seunghwan Kim

Matrix-variate data of high dimensions are frequently observed in finance and economics, spanning extended time periods, such as the long-term data on international trade flows among numerous countries. To address potential structural…

Methodology · Statistics 2024-04-03 Bin Chen , Elynn Y. Chen , Stevenson Bolivar , Rong Chen

Previous studies of the stock price response to individual trades focused on single stocks. We empirically investigate the price response of one stock to the trades of other stocks. How large is the impact of one stock on others and vice…

Statistical Finance · Quantitative Finance 2016-03-17 Shanshan Wang , Rudi Schäfer , Thomas Guhr

Financial time series are commonly decomposed into market factors, which capture shared price movements across assets, and residual factors, which reflect asset-specific deviations. To hedge the market-wide risks, such as the COVID-19…

Computational Engineering, Finance, and Science · Computer Science 2026-02-06 Koshi Watanabe , Ryota Ozaki , Kentaro Imajo , Masanori Hirano

We study the price dynamics of stocks traded in the NASDAQ market by considering the statistical properties of an ensemble of stocks traded simultaneously. For each trading day of our database, we study the ensemble return distribution by…

Statistical Mechanics · Physics 2009-11-07 Fabrizio Lillo , Rosario N. Mantegna