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Being able to forcast extreme volatility is a central issue in financial risk management. We present a large volatility predicting method based on the distribution of recurrence intervals between volatilities exceeding a certain threshold…

统计金融 · 定量金融 2016-10-05 Zhi-Qiang Jiang , Askery A. Canabarro , Boris Podobnik , H. Eugene Stanley , Wei-Xing Zhou

Predicting the occurrence of tail events is of great importance in financial risk management. By employing the method of peak-over-threshold (POT) to identify the financial extremes, we perform a recurrence interval analysis (RIA) on these…

风险管理 · 定量金融 2020-04-09 Wei-Zhen Li , Jin-Rui Zhai , Zhi-Qiang Jiang , Gang-Jin Wang , Wei-Xing Zhou

Having reliable estimates of the occurrence rates of extreme events is highly important for insurance companies, government agencies and the general public. The rarity of an extreme event is typically expressed through its return period,…

统计方法学 · 统计学 2019-10-08 Ross Towe , Jonathan Tawn , Emma Eastoe , Rob Lamb

The distribution of recurrence times or return intervals between extreme events is important to characterize and understand the behavior of physical systems and phenomena in many disciplines. It is well known that many physical processes in…

统计金融 · 定量金融 2008-12-29 M. S. Santhanam , Holger Kantz

We investigate the probability distributions of the recurrence intervals $\tau$ between consecutive 1-min returns above a positive threshold $q>0$ or below a negative threshold $q<0$ of two indices and 20 individual stocks in China's stock…

统计金融 · 定量金融 2010-08-03 Fei Ren , Wei-Xing Zhou

In this article there is no intention to repeat basic concepts about risk management, but we will try to define why often is usefull the time series analysis during the assessment of risks, and how is possible to compute a significative…

应用统计 · 统计学 2016-01-13 Gianluca Rosso

The distribution of return intervals of extreme events is studied in time series characterized by finite-term correlations with non-exponential decay. Precisely, it has been analyzed the statistics of the return intervals of extreme values…

数据分析、统计与概率 · 物理学 2009-11-11 Cecilia Pennetta

Marginal expected shortfall is unquestionably one of the most popular systemic risk measures. Studying its extreme behaviour is particularly relevant for risk protection against severe global financial market downturns. In this context,…

统计理论 · 数学 2023-04-18 Simone A. Padoan , Stefano Rizzelli , Matteo Schiavone

Energy markets and the associated energy futures markets play a crucial role in global economies. We investigate the statistical properties of the recurrence intervals of daily volatility time series of four NYMEX energy futures, which are…

统计金融 · 定量金融 2013-12-31 Wen-Jie Xie , Zhi-Qiang Jiang , Wei-Xing Zhou

The recurrence times between extreme events have been the central point of statistical analyses in many different areas of science. Simultaneously, the Poincar\'e recurrence time has been extensively used to characterize nonlinear dynamical…

数据分析、统计与概率 · 物理学 2007-05-23 Eduardo G. Altmann , Holger Kantz

We study extremal statistics and return intervals in stationary long-range correlated sequences for which the underlying probability density function is bounded and uniform. The extremal statistics we consider e.g., maximum relative to…

统计力学 · 物理学 2015-05-13 N. R. Moloney , J. Davidsen

It will be discussed the statistics of the extreme values in time series characterized by finite-term correlations with non-exponential decay. Precisely, it will be considered the results of numerical analyses concerning the return…

统计力学 · 物理学 2009-11-13 Cecilia Pennetta

This paper explores the implications of producing forecast distributions that are optimized according to scoring rules that are relevant to financial risk management. We assess the predictive performance of optimal forecasts from…

统计金融 · 定量金融 2023-03-06 Yuru Sun , Worapree Maneesoonthorn , Ruben Loaiza-Maya , Gael M. Martin

Inference over tails is usually performed by fitting an appropriate limiting distribution over observations that exceed a fixed threshold. However, the choice of such threshold is critical and can affect the inferential results. Extreme…

统计金融 · 定量金融 2019-02-26 Chiara Lattanzi , Manuele Leonelli

Systemic risk measures have been shown to be predictive of financial crises and declines in real activity. Thus, forecasting them is of major importance in finance and economics. In this paper, we propose a new forecasting method for…

统计方法学 · 统计学 2025-04-23 Yannick Hoga

The use of expectiles in risk management has recently gathered remarkable momentum due to their excellent axiomatic and probabilistic properties. In particular, the class of elicitable law-invariant coherent risk measures only consists of…

统计理论 · 数学 2023-03-21 Abdelaati Daouia , Simone A. Padoan , Gilles Stupfler

This brief paper summarize the chances offered by the Peak-Over-Threshold method, related with analysis of extremes. Identification of appropriate Value at Risk can be solved by fitting data with a Generalized Pareto Distribution. Also an…

应用统计 · 统计学 2015-09-04 Gianluca Rosso

The extreme event statistics plays a very important role in the theory and practice of time series analysis. The reassembly of classical theoretical results is often undermined by non-stationarity and dependence between increments.…

统计金融 · 定量金融 2015-05-28 Mauro Politi , Nicolas Millot , Anirban Chakraborti

Conformal prediction is a popular method to construct prediction intervals with marginal coverage guarantees from black-box machine learning models. In applications with potentially high-impact events, such as flooding or financial crises,…

统计方法学 · 统计学 2026-04-02 Olivier C. Pasche , Henry Lam , Sebastian Engelke

In stochastic finance, one traditionally considers the return as a competitive measure of an asset, {\it i.e.}, the profit generated by that asset after some fixed time span $\Delta t$, say one week or one year. This measures how well (or…

统计力学 · 物理学 2008-12-02 Ingve Simonsen , Mogens H. Jensen , Anders Johansen
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