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A data analyst might worry about generalization if dropping a very small fraction of data points from a study could change its substantive conclusions. Checking this non-robustness directly poses a combinatorial optimization problem and is…

统计方法学 · 统计学 2025-09-10 Jenny Y. Huang , David R. Burt , Yunyi Shen , Tin D. Nguyen , Tamara Broderick

This paper applies an AR(1)-GARCH (1, 1) process to detail the conditional distributions of the return distributions for the S&P500, FT100, DAX, Hang Seng, and Nikkei225 futures contracts. It then uses the conditional distribution for these…

风险管理 · 定量金融 2011-03-29 John Cotter , Kevin Dowd

The problem of test of fit for Vector AutoRegressive (VAR) processes with unconditionally heteroscedastic errors is studied. The volatility structure is deterministic but time-varying and allows for changes that are commonly observed in…

统计方法学 · 统计学 2015-03-19 Valentin Patilea , Hamdi Raïssi

We study several aspects of the so-called low-vol and low-beta anomalies, some already documented (such as the universality of the effect over different geographical zones), others hitherto not clearly discussed in the literature. Our most…

投资组合管理 · 定量金融 2015-10-08 S. Ciliberti , Y. Lempérière , A. Beveratos , G. Simon , L. Laloux , M. Potters , J. P. Bouchaud

This study addresses the computational challenges of forecasting volatility in high-dimensional commodity markets. Building on the Network log-ARCH framework, we introduce a novel class of network topologies from GARCH-informed correlation…

计量经济学 · 经济学 2026-02-23 Fayçal Djebari , Kahina Mehidi , Khelifa Mazouz , Philipp Otto

We investigate the effect of observational constraints such as signal-to-noise, resolution and column density level on the HI morphological asymmetry ($\mathrm{A}_\mathrm{mod}$) and the effect of noise on the HI global profile…

星系天体物理 · 物理学 2022-06-08 P. V. Bilimogga , K. A. Oman , M. A. W. Verheijen , J. M. van der Hulst

Accurate forecasting in the e-commerce finance domain is particularly challenging due to irregular invoice schedules, payment deferrals, and user-specific behavioral variability. These factors, combined with sparse datasets and short…

机器学习 · 计算机科学 2025-09-25 Abhishek Sharma , Anat Parush , Sumit Wadhwa , Amihai Savir , Anne Guinard , Prateek Srivastava

It is well known that in the presence of heteroscedasticity ordinary least squares estimator is not efficient. I propose a generalized automatic least squares estimator (GALS) that makes partial correction of heteroscedasticity based on a…

计量经济学 · 经济学 2023-04-18 Bulat Gafarov

This report presents a comprehensive evaluation of three Value-at-Risk (VaR) modeling approaches: Historical Simulation (HS), GARCH with Normal approximation (GARCH-N), and GARCH with Filtered Historical Simulation (FHS), using both…

风险管理 · 定量金融 2025-10-06 Xin Tian

Rare events, and more general risk-sensitive quantities-of-interest (QoIs), are significantly impacted by uncertainty in the tail behavior of a distribution. Uncertainty in the tail can take many different forms, each of which leads to a…

We point out some pitfalls related to the concept of an oracle property as used in Fan and Li (2001, 2002, 2004) which are reminiscent of the well-known pitfalls related to Hodges' estimator. The oracle property is often a consequence of…

统计理论 · 数学 2007-11-08 Hannes Leeb , Benedikt M. Poetscher

To provide a comprehensive summary of the tail distribution, the expected shortfall is defined as the average over the tail above (or below) a certain quantile of the distribution. The expected shortfall regression captures the…

统计方法学 · 统计学 2026-02-24 Yuanzhi Li , Shushu Zhang , Xuming He

Sparse linear regression, which entails finding a sparse solution to an underdetermined system of linear equations, can formally be expressed as an $l_0$-constrained least-squares problem. The Orthogonal Least-Squares (OLS) algorithm…

机器学习 · 统计学 2016-08-01 Abolfazl Hashemi , Haris Vikalo

This paper poses a few fundamental questions regarding the attributes of the volume profile of a Limit Order Books stochastic structure by taking into consideration aspects of intraday and interday statistical features, the impact of…

统计金融 · 定量金融 2015-04-23 Kylie-Anne Richards , Gareth W. Peters , William Dunsmuir

``Localization'' has proven to be a valuable tool in the Statistical Learning literature as it allows sharp risk bounds in terms of the problem geometry. Localized bounds seem to be much less exploited in the Stochastic Optimization…

最优化与控制 · 数学 2023-03-30 Roberto I. Oliveira , Philip Thompson

Value at risk (VaR) and expected shortfall (ES) are common high quantile-based risk measures adopted in financial regulations and risk management. In this paper, we propose a tail risk measure based on the most probable maximum size of risk…

风险管理 · 定量金融 2025-06-17 Kan Chen , Tuoyuan Cheng

We establish a new concentration result for regularized risk minimizers which is similar to an oracle inequality. Applying this inequality to regularized least squares minimizers like least squares support vector machines, we show that…

统计理论 · 数学 2007-06-13 Ingo Steinwart , Don Hush , Clint Scovel

This paper investigates tradeoffs among optimization errors, statistical rates of convergence and the effect of heavy-tailed errors for high-dimensional robust regression with nonconvex regularization. When the additive errors in linear…

统计理论 · 数学 2021-01-01 Xiaoou Pan , Qiang Sun , Wen-Xin Zhou

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 finance, sequential decision problems are often faced, for which reinforcement learning (RL) emerges as a promising tool for optimisation without the need of analytical tractability. However, the objective of classical RL is the expected…

计算金融 · 定量金融 2026-02-13 Federico Cacciamani , Roberto Daluiso , Marco Pinciroli , Michele Trapletti , Edoardo Vittori