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In this paper we provide evidence that financial option markets for equity indices give rise to non-trivial dependency structures between its constituents. Thus, if the individual constituent distributions of an equity index are inferred…

证券定价 · 定量金融 2009-09-22 Alex Langnau

We address an important yet challenging problem - modeling high-dimensional dependencies across multivariates such as financial indicators in heterogeneous markets. In reality, a market couples and influences others over time, and the…

统计金融 · 定量金融 2023-05-16 Jia Xu , Longbing Cao

The paper presents a new copula based method for measuring dependence between random variables. Our approach extends the Maximum Mean Discrepancy to the copula of the joint distribution. We prove that this approach has several advantageous…

机器学习 · 计算机科学 2019-08-15 Barnabas Poczos , Zoubin Ghahramani , Jeff Schneider

In many practical scenarios, including finance, environmental sciences, system reliability, etc., it is often of interest to study the various notion of negative dependence among the observed variables. A new bivariate copula is proposed…

统计方法学 · 统计学 2023-07-18 Shyamal Ghosh , Prajamitra Bhuyan , Maxim Finkelstein

We demonstrate both analytically and numerically that the existing methods for measuring tail dependence in copulas may sometimes underestimate the extent of extreme co-movements of dependent risks and, therefore, may not always comply with…

概率论 · 数学 2016-07-19 Edward Furman , Jianxi Su , Ričardas Zitikis

We test whether the futures prices of some commodity and energy markets are determined by stochastic rules or exhibit nonlinear deterministic endogenous fluctuations. As for the methodologies, we use the maximal Lyapunov exponents (MLE) and…

统计金融 · 定量金融 2017-03-30 Loretta Mastroeni , Pierluigi Vellucci

The intermarket analysis, in particular the lead-lag relationship, plays an important role within financial markets. Therefore a mathematical approach to be able to find interrelations between the price development of two different…

统计金融 · 定量金融 2015-04-24 Stanislaus Maier-Paape , Andreas Platen

Intraday electricity markets play an increasingly important role in balancing the intermittent generation of renewable energy resources, which creates a need for accurate probabilistic price forecasts. However, research to date has focused…

统计金融 · 定量金融 2025-04-15 Simon Hirsch , Florian Ziel

Wholesale electricity markets are increasingly integrated via high voltage interconnectors, and inter-regional trade in electricity is growing. To model this, we consider a spatial equilibrium model of price formation, where constraints on…

计量经济学 · 经济学 2018-04-24 Michael Stanley Smith , Thomas S. Shively

Several procedures have been recently proposed to test the simplifying assumption for conditional copulas. Instead of considering pointwise conditioning events, we study the constancy of the conditional dependence structure when some…

统计方法学 · 统计学 2020-08-24 Alexis Derumigny , Jean-David Fermanian , Aleksey Min

Copulas provide an attractive approach for constructing multivariate distributions with flexible marginal distributions and different forms of dependences. Of particular importance in many areas is the possibility of explicitly forecasting…

统计方法学 · 统计学 2018-05-22 Feng Li , Yanfei Kang

Fully describing the entire data set is essential in multivariate risk assessment, since moderate levels of one variable can influence another, potentially leading it to be extreme. Additionally, modelling both non-extreme and extreme…

统计方法学 · 统计学 2025-03-11 Lídia M. André , Jonathan A. Tawn

In situations where both extreme and non-extreme data are of interest, modelling the whole data set accurately is important. In a univariate framework, modelling the bulk and tail of a distribution has been extensively studied before.…

统计方法学 · 统计学 2023-10-11 Lídia M. André , Jennifer L. Wadsworth , Adrian O'Hagan

All too often measuring statistical dependencies between financial time series is reduced to a linear correlation coefficient. However this may not capture all facets of reality. We study empirical dependencies of daily stock returns by…

统计金融 · 定量金融 2017-09-01 Marcel Wollschläger , Rudi Schäfer

In this work, we propose extropy measures based on density copula, distributional copula, and survival copula, and explore their properties. We study the effect of monotone transformations for the proposed measures and obtain bounds. We…

统计理论 · 数学 2024-06-04 Shital Saha , Suchandan Kayal

In multivariate analysis, uncertainty arises from two sources: the marginal distributions of the variables and their dependence structure. Quantifying the dependence structure is crucial, as it provides valuable insights into the…

统计方法学 · 统计学 2025-02-19 Swaroop Georgy Zachariah , Mohd. Arshad , Ashok Kumar Pathak

The mean-variance portfolio model, based on the risk-return trade-off for optimal asset allocation, remains foundational in portfolio optimization. However, its reliance on restrictive assumptions about asset return distributions limits its…

投资组合管理 · 定量金融 2025-04-17 Savita Pareek , Sujit K. Ghosh

Due to globalization and relaxed market regulation, we have assisted to an increasing of extremal dependence in international markets. As a consequence, several measures of tail dependence have been stated in literature in recent years,…

统计理论 · 数学 2011-08-10 Helena Ferreira , Marta Ferreira

In econometrics, the Efficient Market Hypothesis posits that asset prices reflect all available information in the market. Several empirical investigations show that market efficiency drops when it undergoes extreme events. Many models for…

统计金融 · 定量金融 2025-07-02 Junshu Jiang , Jordan Richards , Raphaël Huser , David Bolin

This paper introduces a novel measure to quantify the directional dependence of extreme events between two variables. The proposed approach is designed to capture asymmetric tail dependence by studying conditional tail expectations of…

统计方法学 · 统计学 2026-04-06 Matthieu Garcin , Maxime L. D. Nicolas