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We give three derivations of Polya's approximation for the expected range of a simple random walk in one dimension. This result allows for an estimation of the volatility of a financial instrument from the difference between the high and…

概率论 · 数学 2013-05-21 Sami Assaf

We propose a framework for fitting fractional polynomials models as special cases of Bayesian Generalized Nonlinear Models, applying an adapted version of the Genetically Modified Mode Jumping Markov Chain Monte Carlo algorithm. The…

统计方法学 · 统计学 2023-05-26 Aliaksandr Hubin , Georg Heinze , Riccardo De Bin

We introduce an ensemble learning method based on Gaussian Process Regression (GPR) for predicting conditional expected stock returns given stock-level and macro-economic information. Our ensemble learning approach significantly reduces the…

风险管理 · 定量金融 2026-03-10 Damir Filipović , Puneet Pasricha

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…

投资组合管理 · 定量金融 2020-12-15 Kentaro Imajo , Kentaro Minami , Katsuya Ito , Kei Nakagawa

This paper develops a large-scale inference approach for the regularization of stock return covariance matrices. The framework allows for the presence of heavy tails and multivariate GARCH-type effects of unknown form among the stock…

计量经济学 · 经济学 2024-07-16 Richard Luger

We construct an equilibrium for the continuous time Kyle's model with stochastic liquidity, a general distribution of the fundamental price, and correlated stock and volatility dynamics. For distributions with positive support, our…

交易与市场微观结构 · 定量金融 2022-04-26 Ibrahim Ekren , Brad Mostowski , Gordan Žitković

A novel forecast combination and weighted quantile based tail-risk forecasting framework is proposed, aiming to reduce the impact of modelling uncertainty in tail-risk forecasting. The proposed approach is based on a two-step estimation…

风险管理 · 定量金融 2021-07-20 Giuseppe Storti , Chao Wang

In this work, a machine learning approach is developed for predicting the outcomes of football matches. The novelty of this research lies in the utilisation of the Kelly Index to first classify matches into categories where each one denotes…

机器学习 · 计算机科学 2022-11-30 Yiming Ren , Teo Susnjak

On a periodic basis, publicly traded companies are required to report fundamentals: financial data such as revenue, operating income, debt, among others. These data points provide some insight into the financial health of a company.…

机器学习 · 统计学 2018-04-27 John Alberg , Zachary C. Lipton

We provide a natural learning process in which a financial trader without a risk receives a gain in case when Stock Market is inefficient. In this process, the trader rationally choose his gambles using a prediction made by a randomized…

机器学习 · 计算机科学 2011-05-24 Vladimir Trunov , Vladimir V'yugin

Kelly's criterion is a betting strategy that maximizes the long term growth rate, but which is known to be risky. Here, we find optimal betting strategies that gives the highest capital growth rate while keeping a certain low value of risky…

统计力学 · 物理学 2020-11-12 L. Dinis , J. Unterberger , D. Lacoste

In this paper we introduce a simple model for a financial market characterized by a single stock or good and an interplay between two different traders populations, chartists and fundamentalists, which determine the price dynamic of the…

交易与市场微观结构 · 定量金融 2010-09-29 D. Maldarella , L. Pareschi

Stock price prediction has been an important research theme both academically and practically. Various methods to predict stock prices have been studied until now. The feature that explains the stock price by a cross-section analysis is…

投资组合管理 · 定量金融 2020-07-21 Masaya Abe , Kei Nakagawa

We build a simple diagnostic criterion for approximate factor structure in large cross-sectional equity datasets. Given a model for asset returns with observable factors, the criterion checks whether the error terms are weakly…

统计金融 · 定量金融 2017-08-08 Patrick Gagliardini , Elisa Ossola , Olivier Scaillet

We study the price dynamics of stocks traded in a financial market by considering the statistical properties both of a single time series and of an ensemble of stocks traded simultaneously. We use the $n$ stocks traded in the New York Stock…

统计力学 · 物理学 2009-10-31 Fabrizio Lillo , Rosario N. Mantegna

In modern financial markets, news plays a critical role in shaping investor sentiment and influencing stock price movements. However, most existing studies aggregate daily news sentiment into a single score, potentially overlooking…

计算工程、金融与科学 · 计算机科学 2025-10-09 Qizhao Chen

In financial markets, not only prices and returns can be considered as random variables, but also the waiting time between two transactions varies randomly. In the following, we analyse the statistical properties of General Electric stock…

统计力学 · 物理学 2009-11-07 M. Raberto , E. Scalas , F. Mainardi

We construct a general stochastic process and prove weak convergence results. It is scaled in space and through the parameters of its distribution. We show that our simplified scaling is equivalent to time scaling used frequently. The…

概率论 · 数学 2011-07-01 Mine Caglar

The local volatility model is a widely used for pricing and hedging financial derivatives. While its main appeal is its capability of reproducing any given surface of observed option prices---it provides a perfect fit---the essential…

计算金融 · 定量金融 2019-01-24 Martin Tegnér , Stephen Roberts

A statistical physics model for the time evolutions of stock portfolios is proposed. In this model the time series of price changes are coded into the sequences of up and down spins. The Hamiltonian of the system is introduced and is…

统计力学 · 物理学 2008-12-02 Jun-ichi Maskawa