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In this paper we present an interacting-agent model of stock markets. We describe a stock market through an Ising-like model in order to formulate the tendency of traders getting to be influenced by the other traders' investment attitudes…

物理与社会 · 物理学 2013-09-11 Taisei Kaizoji

In a traditional Gaussian graphical model, data homogeneity is routinely assumed with no extra variables affecting the conditional independence. In modern genomic datasets, there is an abundance of auxiliary information, which often gets…

统计方法学 · 统计学 2023-08-16 Yabo Niu , Yang Ni , Debdeep Pati , Bani K. Mallick

We present two statistical causes for the distortion of correlations on high-frequency financial data. We demonstrate that the asynchrony of trades as well as the decimalization of stock prices has a large impact on the decline of the…

统计金融 · 定量金融 2010-10-01 Michael C. Münnix , Rudi Schäfer , Thomas Guhr

Evolution is simultaneously driven by a number of processes such as mutation, competition and random sampling. Understanding which of these processes is dominating the collective evolutionary dynamics in dependence on system properties is a…

种群与进化 · 定量生物学 2012-09-13 Hinrich Arnoldt , Marc Timme , Stefan Grosskinsky

This paper outlines an agent-based model of a simple financial market in which a single asset is available for trade by three different types of traders. The model was first introduced in the PhD thesis of one of the authors, see reference…

交易与市场微观结构 · 定量金融 2019-01-17 Elena Green , Daniel M. Heffernan

We focus on variational inference in dynamical systems where the discrete time transition function (or evolution rule) is modelled by a Gaussian process. The dominant approach so far has been to use a factorised posterior distribution,…

Universal features in stock markets and their derivative markets are studied by means of probability distributions in internal rates of return on buy and sell transaction pairs. Unlike the stylized facts in log normalized returns, the…

信息论 · 计算机科学 2009-11-11 Lukas Pichl , Taisei Kaizoji , Takuya Yamano

We describe a simple and accurate framework for modeling the statistical behavior of both fully developed turbulence and short-term dynamics of financial markets based on the formalism of Tsallis' generalized non-extensive thermostatistics.…

凝聚态物理 · 物理学 2007-05-23 F. M. Ramos , C. Rodrigues Neto , R. R. Rosa

We consider the setting where a collection of time series, modeled as random processes, evolve in a causal manner, and one is interested in learning the graph governing the relationships of these processes. A special case of wide interest…

机器学习 · 计算机科学 2016-08-30 Hossein Hosseini , Sreeram Kannan , Baosen Zhang , Radha Poovendran

We develop a framework especially suited to the autocorrelation properties observed in financial times series, by borrowing from the physical picture of turbulence. The success of our approach as applied to high frequency foreign exchange…

统计力学 · 物理学 2015-06-25 B. Holdom

In this study we suggest a portfolio selection framework based on option-implied information and multivariate non-Gaussian models. The proposed models incorporate skewness, kurtosis and more complex dependence structures among stocks…

投资组合管理 · 定量金融 2018-05-28 Michele Leonardo Bianchi , Gian Luca Tassinari

This paper investigates the asymptotic behavior of higher-order conditional tail moments, which quantify the contribution of individual losses in the event of systemic collapse. The study is conducted within a framework comprising two…

概率论 · 数学 2025-05-27 Zhangting Chen , Bingjie Wang , Dongya Cheng

Modelling growth in student achievement is a significant challenge in the field of education. Understanding how interventions or experiences such as part-time work can influence this growth is also important. Traditional methods like…

机器学习 · 统计学 2024-07-17 Nathan McJames , Ann O'Shea , Andrew Parnell

Recently, to account for low-frequency market dynamics, several volatility models, employing high-frequency financial data, have been developed. However, in financial markets, we often observe that financial volatility processes depend on…

应用统计 · 统计学 2021-03-01 Dohyun Chun , Donggyu Kim

We discuss price variations distributions in foreign exchange markets, characterizing them both in calendar and business time frameworks. The price dynamics is found to be the result of two distinct processes, a multi-variance diffusion and…

统计力学 · 物理学 2009-10-31 Michele Pasquini , Maurizio Serva

This paper examines a heterogeneous beliefs model in which there is a process that is only partially observed by the agents. The economy contains a risky asset producing dividends continuously in time. The dividends are observed by the…

综合金融 · 定量金融 2009-07-29 A. A. Brown

The behavior of stock market returns over a period of 1-60 days has been investigated for S&P 500 and Nasdaq within the framework of nonextensive Tsallis statistics. Even for such long terms, the distributions of the returns are…

统计金融 · 定量金融 2017-09-18 Sandhya Devi

The quantitative analysis of financial time series often reveals two distinct features that standard Gaussian frameworks fail to capture: heavy-tailed marginal distributions and the phenomenon of extreme co-movements.While extreme value…

统计理论 · 数学 2026-05-14 Debanjana Datta , Diganta Mukherjee

We consider the problem of option pricing and hedging when stock returns are correlated in time. Within a quadratic-risk minimisation scheme, we obtain a general formula, valid for weakly correlated non-Gaussian processes. We show that for…

凝聚态物理 · 物理学 2007-05-23 Lorenzo Cornalba , Jean-Philippe Bouchaud , Marc Potters

We develop a testing procedure for distinguishing between a long-range dependent time series and a weakly dependent time series with change-points in the mean. In the simplest case, under the null hypothesis the time series is weakly…

统计理论 · 数学 2016-08-16 István Berkes , Lajos Horváth , Piotr Kokoszka , Qi-Man Shao