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We derive the sampling properties of random networks based on weights whose pairwise products parameterize independent Bernoulli trials. This enables an understanding of many degree-based network models, in which the structure of realized…

Statistics Theory · Mathematics 2013-06-07 Sofia C. Olhede , Patrick J. Wolfe

Intertrade duration of equities is an important financial measure characterizing the trading activities, which is defined as the waiting time between successive trades of an equity. Using the ultrahigh-frequency data of a liquid Chinese…

Statistical Finance · Quantitative Finance 2011-04-01 Yong-Ping Ruan , Wei-Xing Zhou

We introduce a method to infer lead-lag networks of agents' actions in complex systems. These networks open the way to both microscopic and macroscopic states prediction in such systems. We apply this method to trader-resolved data in the…

Trading and Market Microstructure · Quantitative Finance 2018-07-27 Damien Challet , Rémy Chicheportiche , Mehdi Lallouache , Serge Kassibrakis

Complex network theory provides a unifying framework for the study of structured dynamic systems. The current literature emphasizes a widely reported phenomenon of intermittent interaction among network vertices. In this paper, we introduce…

Social and Information Networks · Computer Science 2025-02-17 Ziyan Zeng , Minyu Feng , Pengfei Liu , Jurgen Kurths

The degree distributions of complex networks are usually considered to be power law. However, it is not the case for a large number of them. We thus propose a new model able to build random growing networks with (almost) any wanted degree…

Social and Information Networks · Computer Science 2020-12-08 Thibaud Trolliet , Frédéric Giroire , Stéphane Pérennes

In this study, we investigate the statistical properties of the returns and the trading volume. We show a typical example of power-law distributions of the return and of the trading volume. Next, we propose an interacting agent model of…

Statistical Finance · Quantitative Finance 2013-09-11 Taisei Kaizoji

This paper proposes and motivates a dynamical model of the Chinese stock market based on a linear regression in a dual state space connected to the original state space of correlations between the volume-at-price buckets by a Fourier…

Trading and Market Microstructure · Quantitative Finance 2020-05-15 P. B. Lerner

Equity activity is an essential topic for financial market studies. To explore its statistical regularities, we comprehensively examine the trading value, a measure of the equity activity, of the 3314 most-traded stocks in the U.S. equity…

Statistical Finance · Quantitative Finance 2009-11-24 Fengzhong Wang , Kazuko Yamasaki , Shlomo Havlin , H. Eugene Stanley

This article describes a complex network model whose weights are proportional to the difference between uniformly distributed ``fitness'' values assigned to the nodes. It is shown both analytically and experimentally that the strength…

Statistical Mechanics · Physics 2009-11-11 Luciano da Fontoura Costa , Gonzalo Travieso

Algorithmic trading relies on extracting meaningful signals from diverse financial data sources, including candlestick charts, order statistics on put and canceled orders, traded volume data, limit order books, and news flow. While deep…

Machine Learning · Computer Science 2025-04-22 Kasymkhan Khubiev , Mikhail Semenov

In search of many social and economical systems, it is found that node strength distribution as well as degree distribution demonstrate the behavior of power-law with droop-head and heavy-tail. We present a new model for the growth of…

Disordered Systems and Neural Networks · Physics 2007-05-23 Chuan-Ji Fu , Qing Ou , Wen Chen , Bing-Hong Wang , Ying-Di Jin , Yong-Wei Niu , Tao Zhou

In this paper, we simulate the execution of a large stock order with real data and general power law in the Almgren and Chriss model. The example that we consider is the liquidation of a large position executed over the course of a single…

Computational Finance · Quantitative Finance 2023-06-16 A. Papanicolaou , H. Fu , P. Krishnamurthy , B. Healy , F. Khorrami

The distribution of returns in financial time series exhibits heavy tails. In empirical studies, it has been found that gaps between the orders in the order book lead to large price shifts and thereby to these heavy tails. We set up an…

Trading and Market Microstructure · Quantitative Finance 2012-12-04 Thilo A. Schmitt , Rudi Schäfer , Michael C. Münnix , Thomas Guhr

We present a methodology to extract the backbone of complex networks based on the weight and direction of links, as well as on nontopological properties of nodes. We show how the methodology can be applied in general to networks in which…

General Finance · Quantitative Finance 2010-06-23 J. B. Glattfelder , S. Battiston

In this paper, we quantitatively investigate the statistical properties of a statistical ensemble of stock prices. We selected 1200 stocks traded on the Tokyo Stock Exchange, and formed a statistical ensemble of daily stock prices for each…

Physics and Society · Physics 2015-06-26 Taisei Kaizoji

In this paper we quantitatively investigate the statistical properties of an ensemble of {\it stock prices}. We selected 1200 stocks traded in the Tokyo Stock Exchange and formed a statistical ensemble of daily stock prices for each trading…

Statistical Mechanics · Physics 2013-09-11 Taisei Kaizoji , Michiyo Kaizoji

It is known that the impact of transactions on stock price (market impact) is a concave function of the size of the order, but there exists little quantitative theory that suggests why this is so. I develop a quantitative theory for the…

Statistical Finance · Quantitative Finance 2008-12-02 Austin Gerig

We investigate the behavior of limit order books on the meso-scale motivated by order execution scheduling algorithms. To do so we carry out empirical analysis of the order flows from market and limit order submissions, aggregated from…

Trading and Market Microstructure · Quantitative Finance 2017-08-10 Kyle Bechler , Michael Ludkovski

We provide an empirical analysis of the network structure of the Austrian interbank market based on a unique data set of the Oesterreichische Nationalbank (OeNB). We show that the contract size distribution follows a power law over more…

Condensed Matter · Physics 2007-05-23 Michael Boss , Helmut Elsinger , Martin Summer , Stefan Thurner

We identify and analyze statistical regularities and irregularities in the recent order flow of different NASDAQ stocks, focusing on the positions where orders are placed in the orderbook. This includes limit orders being placed outside of…

Trading and Market Microstructure · Quantitative Finance 2017-11-22 Martin Theissen , Sebastian M. Krause , Thomas Guhr