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We investigate a factor that can affect the number of links of a specific stock in a network between stocks created by the minimal spanning tree (MST) method, by using individual stock data listed on the S&P500 and KOSPI. Among the common…

Data Analysis, Statistics and Probability · Physics 2015-06-26 Cheoljun Eom , Gabjin Oh , Seunghwan Kim

This work employs some techniques in order to filter random noise from the information provided by minimum spanning trees obtained from the correlation matrices of international stock market indices prior to and during times of crisis. The…

Statistical Finance · Quantitative Finance 2014-08-11 Leonidas Sandoval Junior

We investigated financial market data to determine which factors affect information flow between stocks. Two factors, the time dependency and the degree of efficiency, were considered in the analysis of Korean, the Japanese, the Taiwanese,…

Statistical Finance · Quantitative Finance 2009-11-13 Cheoljun Eom , Woo-Sung Jung , Sunghoon Choi , Gabjin Oh , Seunghwan Kim

Based on a recently proposed $q$-dependent detrended cross-correlation coefficient $\rho_q$, we generalize the concept of minimum spanning tree (MST) by introducing a family of $q$-dependent minimum spanning trees ($q$MST) that are…

Statistical Finance · Quantitative Finance 2017-05-19 Jaroslaw Kwapien , Pawel Oswiecimka , Marcin Forczek , Stanislaw Drozdz

The minimum spanning tree is used to study the process of market integration for a large group of national stock market indices. We show how the asset tree evolves over time and describe the dynamics of its normalized length, mean…

Physics and Society · Physics 2008-02-23 Ricardo Coelho , Claire G. Gilmore , Brian Lucey , Peter Richmond , Stefan Hutzler

A complete understanding of real networks requires us to understand the consequences of the uneven interaction strengths between a system's components. Here we use the minimum spanning tree (MST) to explore the effect of weight assignment…

Disordered Systems and Neural Networks · Physics 2007-05-23 P. J. Macdonald , E. Almaas , A. -L. Barabasi

Using transfer entropy, we observed the strength and direction of information flow between stock indices. We uncovered that the biggest source of information flow is America. In contrast, the Asia/Pacific region the biggest is receives the…

Statistical Finance · Quantitative Finance 2009-11-13 Okyu Kwon , Jae-Suk Yang

The construction of minimum spanning trees (MSTs) from correlation matrices is an often used method to study relationships in the financial markets. However most of the work on this topic tends to use the Pearson correlation coefficient,…

Computational Engineering, Finance, and Science · Computer Science 2021-02-03 Tristan Millington , Mahesan Niranjan

Transfer entropy measures the strength and direction of information flow between different time series. We study the information flow networks of the Chinese stock market and identify important sectors and information flow paths. This paper…

Statistical Finance · Quantitative Finance 2020-04-21 Peng Yue , Qing Cai , Wanfeng Yan , Wei-Xing Zhou

In this article we review several techniques to extract information from stock market data. We discuss recurrence analysis of time series, decomposition of aggregate correlation matrices to study co-movements in financial data, stock level…

General Finance · Quantitative Finance 2016-07-20 Kiran Sharma , Shreyansh Shah , Anindya S. Chakrabarti , Anirban Chakraborti

Understanding how information flows through the financial networks is important, especially during times of market turbulence. Unlike traditional assumptions where information travels along the shortest paths, real-world diffusion processes…

Statistical Finance · Quantitative Finance 2025-09-12 Pawanesh Pawanesh , Charu Sharma , Niteesh Sahni

Recent years have witnessed a surge of biological interest in the minimum spanning tree (MST) problem for its relevance to automatic model construction using the distances between data points. Despite the increasing use of MST algorithms…

Quantitative Methods · Quantitative Biology 2015-11-02 Momoko Hayamizu , Hiroshi Endo , Kenji Fukumizu

In a highly interdependent economic world, the nature of relationships between financial entities is becoming an increasingly important area of study. Recently, many studies have shown the usefulness of minimal spanning trees (MST) in…

Statistical Finance · Quantitative Finance 2013-08-19 Zeyu Zheng , Kazuko Yamasaki , Joel N. Tenenbaum , H. Eugene Stanley

We describe two different bootstrap methods applied to the detection of a minimum spanning tree obtained from a set of multivariate variables. We show that two different bootstrap procedures provide partly distinct information that can be…

Methodology · Statistics 2021-08-25 Federico Musciotto , Luca Marotta , Salvatore Miccichè , Rosario N. Mantegna

We investigate hierarchical structure in various complex systems according to Minimum Spanning Tree methods. Firstly, we investigate stock markets where the graphis obtained from the matrix of correlations coefficient computed between all…

General Finance · Quantitative Finance 2014-06-13 Andrzej Jarynowski , Andrzej Buda

The time dependence of the recently introduced minimum spanning tree description of correlations between stocks, called the ``asset tree'' have been studied to reflect the economic taxonomy. The nodes of the tree are identified with stocks…

Statistical Mechanics · Physics 2009-11-10 J. -P. Onnela , A. Chakraborti , K. Kaski , J. Kertesz , A. Kanto

We study correlations of a set of stocks selected from both the New York and London stock exchanges. Results are displayed using both Random Matrix Theory approach and the graphical visualisation of the Minimal Spanning Tree. For the set of…

Physics and Society · Physics 2007-10-29 Ricardo Coelho , Peter Richmond , Stefan Hutzler , Brian Lucey

We present here a topological characterization of the minimal spanning tree that can be obtained by considering the price return correlations of stocks traded in a financial market. We compare the minimal spanning tree obtained from a large…

Statistical Mechanics · Physics 2009-11-07 Giovanni Bonanno , Guido Caldarelli , Fabrizio Lillo , and Rosario N. Mantegna

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

We investigate the time series of the degree of minimum spanning trees obtained by using a correlation based clustering procedure which is starting from (i) asset return and (ii) volatility time series. The minimum spanning tree is obtained…

Statistical Mechanics · Physics 2009-11-07 Salvatore Miccichè , Giovanni Bonanno , Fabrizio Lillo , Rosario N. Mantegna
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