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In most cases, insurance contracts are linked to the financial markets, such as through interest rates or equity-linked insurance products. To motivate an evaluation rule in these hybrid markets, Artzner et al. (2022) introduced the notion…

Mathematical Finance · Quantitative Finance 2022-12-12 Katharina Oberpriller , Moritz Ritter , Thorsten Schmidt

Study of recurrences in earthquakes, climate, financial time-series, etc. is crucial to better forecast disasters and limit their consequences. However, almost all the previous phenomenological studies involved only a long-ranged…

Data Analysis, Statistics and Probability · Physics 2013-09-11 Rémy Chicheportiche , Anirban Chakraborti

Risk measures such as Expected Shortfall (ES) and Value-at-Risk (VaR) have been prominent in banking regulation and financial risk management. Motivated by practical considerations in the assessment and management of risks, including…

Mathematical Finance · Quantitative Finance 2021-05-05 Ruodu Wang , Johanna F. Ziegel

We study offline change-point estimation for time series data exhibiting nonlinear serial dependence. To address this problem, we propose a copula-based Markov chain model with Weibull marginal distributions, which is suitable for modeling…

Methodology · Statistics 2026-05-29 Li-Hsien Sun , Zong-Yuan Huang , Yi-Ling Huang , Chi-Yang Chiu , Ning Ning

Value at risk and expected shortfall are increasingly popular tail risk measures in the financial risk management field. Both academia and financial institutions are working to improve tail risk forecasts in order to meet the requirements…

Risk Management · Quantitative Finance 2022-02-23 Zhengkun Li

The paper offers a novel unified approach to studying the accuracy of parameter estimation by the quasi likelihood method. Important features of the approach are: (1) The underlying model {is not assumed to be parametric}. (2) No conditions…

Statistics Theory · Mathematics 2009-03-11 V. Spokoiny

Motivated by the application of real-time pricing in e-commerce platforms, we consider the problem of revenue-maximization in a setting where the seller can leverage contextual information describing the customer's history and the product's…

Machine Learning · Computer Science 2019-08-13 Virag Shah , Jose Blanchet , Ramesh Johari

Quantile regression provides a framework for modeling statistical quantities of interest other than the conditional mean. The regression methodology is well developed for linear models, but less so for nonparametric models. We consider…

Statistics Theory · Mathematics 2009-09-29 Mi-Ok Kim

The central idea of the paper is to present a general simple patchwork construction principle for multivariate copulas that create unfavourable VaR (i.e. Value at Risk) scenarios while maintaining given marginal distributions. This is of…

Risk Management · Quantitative Finance 2021-05-07 Dietmar Pfeifer , Olena Ragulina

The study of dependence between random variables under external influences is a challenging problem in multivariate analysis. We address this by proposing a novel semi-parametric approach for conditional copula models using Bayesian…

Methodology · Statistics 2026-03-11 Tathagata Basu , Fabrizio Leisen , Cristiano Villa , Kevin Wilson

In the last decade, simplified vine copula models have been an active area of research. They build a high dimensional probability density from the product of marginals densities and bivariate copula densities. Besides parametric models,…

Methodology · Statistics 2017-06-29 Thomas Nagler , Christian Schellhase , Claudia Czado

Increasing practical interest has been shown in regression problems where the errors, or disturbances, are centred in a way that reflects particular characteristics of the mechanism that generated the data. In economics this occurs in…

Statistics Theory · Mathematics 2009-09-07 Peter Hall , Ingrid Van Keilegom

We propose a kernel-based nonparametric framework for mean-variance optimization that enables inference on economically motivated shape constraints in finance, including positivity, monotonicity, and convexity. Many central hypotheses in…

Machine Learning · Statistics 2026-01-26 Rohan Sen

In this paper, we generalize the parametric delta-VaR method from portfolios with normally distributed risk factors to portfolios with elliptically distributed ones. We treat both the expected shortfall and the Value-at-Risk of such…

Classical Analysis and ODEs · Mathematics 2008-12-02 Jules Sadefo Kamdem

This study considers regression analysis of a circular response with an error-prone linear covariate. Starting with an existing estimator of the circular regression function that assumes error-free covariate, three approaches are proposed…

Methodology · Statistics 2025-08-25 Nicholas Woolsey , Xianzheng Huang

We propose a new adequacy test and a graphical evaluation tool for nonlinear dynamic models. The proposed techniques can be applied in any setup where parametric conditional distribution of the data is specified, in particular to models…

Statistics Theory · Mathematics 2017-06-02 Igor L. Kheifets

Effective risk control must make a tradeoff between the microprudential risk of exogenous shocks to individual institutions and the macroprudential risks caused by their systemic interactions. We investigate a simple dynamical model for…

Economics · Quantitative Finance 2015-07-16 Christoph Aymanns , Fabio Caccioli , J. Doyne Farmer , Vincent W. C. Tan

Analysis of multivariate time series is a common problem in areas like finance and economics. The classical tool for this purpose are vector autoregressive models. These however are limited to the modeling of linear and symmetric…

Methodology · Statistics 2012-04-05 Eike Christian Brechmann , Claudia Czado

We introduce a novel bivariate copula model able to capture both the central and tail dependence of the joint probability distribution. Model that can capture the dependence structure within the joint tail have important implications in…

Methodology · Statistics 2025-08-01 Maria Concepción Ausín , Maria Kalli

We present a novel Bayesian nonparametric regression model for covariates X and continuous, real response variable Y. The model is parametrized in terms of marginal distributions for Y and X and a regression function which tunes the…

Methodology · Statistics 2015-06-25 Tristan Gray-Davies , Chris Holmes , Francois Caron