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For purposes of Value-at-Risk estimation, we consider several multivariate families of heavy-tailed distributions, which can be seen as multidimensional versions of Paretian stable and Student's t distributions allowing different marginals…

Risk Management · Quantitative Finance 2011-12-20 Carlo Marinelli , Stefano d'Addona , Svetlozar T. Rachev

Obtaining reliable estimates of conditional covariance matrices is an important task of heteroskedastic multivariate time series. In portfolio optimization and financial risk management, it is crucial to provide measures of uncertainty and…

Methodology · Statistics 2022-09-19 Davide Ravagli , Georgi N. Boshnakov

This work proposes a unified framework for portfolio allocation, covering both asset selection and optimization, based on a multiple-hypothesis predict-then-optimize approach. The portfolio is modeled as a structured ensemble, where each…

Portfolio Management · Quantitative Finance 2025-11-19 Alejandro Rodriguez Dominguez , Muhammad Shahzad , Xia Hong

Multivariate statistical analysis is concerned with observations on several variables which are thought to possess some degree of inter-dependence. Driven by problems in genetics and the social sciences, it first flowered in the earlier…

Statistics Theory · Mathematics 2007-06-13 Iain M. Johnstone

A regularized vector autoregressive hidden semi-Markov model is developed to analyze multivariate financial time series with switching data generating regimes. Furthermore, an augmented EM algorithm is proposed for parameter estimation by…

Applications · Statistics 2021-05-19 Zekun Xu , Ye Liu

Quantitative trading strategies rely on accurately ranking stocks to identify profitable investments. Effective portfolio management requires models that can reliably order future stock returns. Transformer models are promising for…

Machine Learning · Computer Science 2025-10-17 Jan Kwiatkowski , Jarosław A. Chudziak

Time series analysis is the process of building a model using statistical techniques to represent characteristics of time series data. Processing and forecasting huge time series data is a challenging task. This paper presents Approximation…

We introduce a general class of stochastic processes driven by a multifractional Brownian motion (mBm) and study the estimation problems of their pointwise H\"older exponents (PHE) based on a new localized generalized quadratic variation…

Mathematical Finance · Quantitative Finance 2018-10-17 Qidi Peng , Ran Zhao

Multivariate volatility modeling and forecasting are crucial in financial economics. This paper develops a copula-based approach to model and forecast realized volatility matrices. The proposed copula-based time series models can capture…

Statistical Finance · Quantitative Finance 2020-02-21 Wenjing Wang , Minjing Tao

This research aims to leverage machine learning to improve stock price prediction and support informed investment decisions related to buying, selling, and holding assets. Specifically, this work investigates transformer-based models for…

Statistical Finance · Quantitative Finance 2026-05-26 Marie Soehl Coolsaet , Roberto Gallardo , Zhen Gao

Financial market forecasting remains a formidable challenge despite the surge in computational capabilities and machine learning advancements. While numerous studies have underscored the precision of computer-generated market predictions,…

Computational Finance · Quantitative Finance 2023-11-16 Reza Yarbakhsh , Mahdieh Soleymani Baghshah , Hamidreza Karimaghaie

This study seeks to advance the understanding and prediction of stock market return uncertainty through the application of advanced deep learning techniques. We introduce a novel deep learning model that utilizes a Gaussian mixture…

Risk Management · Quantitative Finance 2025-03-11 Yanlong Wang , Jian Xu , Shao-Lun Huang , Danny Dongning Sun , Xiao-Ping Zhang

With the fast development of quantitative portfolio optimization in financial engineering, lots of AI-based algorithmic trading strategies have demonstrated promising results, among which reinforcement learning begins to manifest…

Mathematical Finance · Quantitative Finance 2023-03-10 Huifang Huang , Ting Gao , Pengbo Li , Jin Guo , Peng Zhang , Nan Du

Financial markets are difficult to predict due to its complex systems dynamics. Although there have been some recent studies that use machine learning techniques for financial markets prediction, they do not offer satisfactory performance…

Statistical Finance · Quantitative Finance 2022-01-31 Jia Wang , Tong Sun , Benyuan Liu , Yu Cao , Degang Wang

In this paper, we begin our discussion with some of the well-known methods available in the literature for the estimation of the parameters of a univariate/multivariate stable distribution. Based on the available methods, a new hybrid…

Computation · Statistics 2019-02-27 Aastha M. Sathe , Neelesh. S. Upadhye

Overfitting remains a critical challenge in data-driven financial modeling, where machine learning (ML) systems learn spurious patterns in historical prices and fail out of sample and in deployment. This paper introduces the GT-Score, a…

Statistical Finance · Quantitative Finance 2026-02-03 Alexander Sheppert

We develop a new method for multivariate scalar on multidimensional distribution regression. Traditional approaches typically analyze isolated univariate scalar outcomes or consider unidimensional distributional representations as…

Methodology · Statistics 2023-10-17 Rahul Ghosal , Marcos Matabuena

Creating accurate predictions in the stock market has always been a significant challenge in finance. With the rise of machine learning as the next level in the forecasting area, this research paper compares four machine learning models and…

Trading and Market Microstructure · Quantitative Finance 2023-09-06 Albert Wong , Steven Whang , Emilio Sagre , Niha Sachin , Gustavo Dutra , Yew-Wei Lim , Gaetan Hains , Youry Khmelevsky , Frank Zhang

Multifractal processes are a relatively new tool of stock market analysis. Their power lies in the ability to take multiple orders of autocorrelations into account explicitly. In the first part of the paper we discuss the framework of the…

Other Condensed Matter · Physics 2008-12-02 Zoltan Eisler , Janos Kertesz

As the number of publicly traded companies as well as the amount of their financial data grows rapidly, it is highly desired to have tracking, analysis, and eventually stock selections automated. There have been few works focusing on…

Statistical Finance · Quantitative Finance 2014-06-04 Sercan Arik , Sukru Burc Eryilmaz , Adam Goldberg
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