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We consider the problem of the statistical uncertainty of the correlation matrix in the optimization of a financial portfolio. We show that the use of clustering algorithms can improve the reliability of the portfolio in terms of the ratio…

Physics and Society · Physics 2008-12-02 Vincenzo Tola , Fabrizio Lillo , Mauro Gallegati , Rosario N. Mantegna

Factor models are a class of powerful statistical models that have been widely used to deal with dependent measurements that arise frequently from various applications from genomics and neuroscience to economics and finance. As data are…

Methodology · Statistics 2018-08-14 Jianqing Fan , Kaizheng Wang , Yiqiao Zhong , Ziwei Zhu

Factor models characterize the joint behavior of large sets of financial assets through a smaller number of underlying drivers. We develop a network-based framework in which factors emerge naturally from the structure of interactions among…

Computational Finance · Quantitative Finance 2026-04-15 Jose Negrete , Jaime Joel Ramos

The present paper provides a study of high-dimensional statistical arbitrage that combines factor models with the tools from stochastic control, obtaining closed-form optimal strategies which are both interpretable and computationally…

Mathematical Finance · Quantitative Finance 2021-06-25 Jorge Guijarro-Ordonez

The popularity of modern portfolio theory has decreased among practitioners because of its unfavorable out-of-sample performance. Estimation errors tend to affect the optimal weight calculation noticeably, especially when a large number of…

Portfolio Management · Quantitative Finance 2019-10-28 Sven Husmann , Antoniya Shivarova , Rick Steinert

Full electronic automation in stock exchanges has recently become popular, generating high-frequency intraday data and motivating the development of near real-time price forecasting methods. Machine learning algorithms are widely applied to…

Applications · Statistics 2023-03-29 Xuekui Zhang , Yuying Huang , Ke Xu , Li Xing

We presented Bayesian portfolio selection strategy, via the $k$ factor asset pricing model. If the market is information efficient, the proposed strategy will mimic the market; otherwise, the strategy will outperform the market. The…

Mathematical Finance · Quantitative Finance 2024-05-29 Sourish Das , Rituparna Sen

Identifying the number of factors in a high-dimensional factor model has attracted much attention in recent years and a general solution to the problem is still lacking. A promising ratio estimator based on the singular values of the lagged…

Methodology · Statistics 2018-01-23 Zeng Li , Qinwen Wang , Jianfeng Yao

This paper analyses the forecasting performance of a new class of factor models with martingale difference errors (FMMDE) recently introduced by Lee and Shao (2018). The FMMDE makes it possible to retrieve a transformation of the original…

Econometrics · Economics 2023-06-23 Luca Mattia Rolla , Alessandro Giovannelli

The construction of an efficient portfolio with a good level of return and minimal risk depends on selecting the optimal combination of stocks. This paper introduces a novel decision-making framework for stock selection based on fractional…

Statistics Theory · Mathematics 2025-07-04 Poulami Paul , Chanchal Kundu

Factor analysis acts a pivotal role in enhancing maritime safety. Most previous studies conduct factor analysis within the framework of incident-related label prediction, where the developed models can be categorized into short-term and…

Machine Learning · Computer Science 2024-10-29 Tianyi Chen , Hua Wang , Yutong Cai , Maohan Liang , Qiang Meng

In risk management it is desirable to grasp the essential statistical features of a time series representing a risk factor. This tutorial aims to introduce a number of different stochastic processes that can help in grasping the essential…

Risk Management · Quantitative Finance 2008-12-23 Damiano Brigo , Antonio Dalessandro , Matthias Neugebauer , Fares Triki

We introduce a new numerical approximation method for functionals of factor credit portfolio models based on the theory of mod-$\phi$ convergence and mod-$\phi$ approximation schemes. The method can be understood as providing correction…

Computational Finance · Quantitative Finance 2022-11-09 Pierre-Loïc Méliot , Ashkan Nikeghbali , Gabriele Visentin

In this paper, we measure systematic risk with a new nonparametric factor model, the neural network factor model. The suitable factors for systematic risk can be naturally found by inserting daily returns on a wide range of assets into the…

Computational Finance · Quantitative Finance 2018-09-14 Jeonggyu Huh

Stochastic portfolio theory aims at finding relative arbitrages, i.e. trading strategies which outperform the market with probability one. Functionally generated portfolios, which are deterministic functions of the market weights, are an…

Mathematical Finance · Quantitative Finance 2021-01-19 Patrick Mijatovic

This paper presents how the most recent improvements made on covariance matrix estimation and model order selection can be applied to the portfolio optimisation problem. The particular case of the Maximum Variety Portfolio is treated but…

Applications · Statistics 2018-04-03 Emmanuelle Jay , Eugénie Terreaux , Jean-Philippe Ovarlez , Frédéric Pascal

Many scientific questions in biomedical, environmental, and psychological research involve understanding the effects of multiple factors on outcomes. While factorial experiments are ideal for this purpose, randomized controlled treatment…

Methodology · Statistics 2025-12-03 Ruoqi Yu , Peng Ding

Estimating and assessing the risk of a large portfolio is an important topic in financial econometrics and risk management. The risk is often estimated by a substitution of a good estimator of the volatility matrix. However, the accuracy of…

Applications · Statistics 2013-02-06 Jianqing Fan , Yuan Liao , Xiaofeng Shi

A new framework for asset pricing based on modelling the information available to market participants is presented. Each asset is characterised by the cash flows it generates. Each cash flow is expressed as a function of one or more…

Pricing of Securities · Quantitative Finance 2008-12-02 Andrea Macrina

This project investigates the interplay of technical, market, and statistical factors in predicting stock market performance, with a primary focus on S&P 500 companies. Utilizing a comprehensive dataset spanning multiple years, the analysis…

Statistical Finance · Quantitative Finance 2024-12-18 Jiajun Gu , Zichen Yang , Xintong Lin , Sixun Chen , YuTing Lu