Research
On-device research index

arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

168,657 papers · 148 categories

Trend · papers per month

1122 · Nov 202519922001200920172026
11 results for Range-Value-at-Risk

Extended univariate Range Value-at-Risk to multivariate settings.

problem Inability of traditional risk measures for heavy-tail distributions and infinite tail expectations.
method Multivariate definitions of robust truncated tail expectations, robustness and properties derived, closed-form expressions and special cases discussed.
result Empirical estimators accuracy examined through numerical and graphical examples.

Study extreme-case Value-at-Risk under IFR distributions, providing guidance for risk management.

problem Understanding extreme-case risk measures under distributional ambiguity and increasing failure rate.
method Characterized extreme-case range Value-at-Risk under mean and variance constraints with increasing failure rate.
result Characterized specific characteristics of extreme-case distributions under IFR constraints.

Paper quantifies distortion risk measures' robustness to distributional uncertainty.

problem Quantifying risk measures' robustness to distributional uncertainty.
method Employing isotonic projections, the paper derives bounds on distortion risk measures' values.
result Sharp bounds on distortion risk measures' values are provided, especially for Value-at-Risk and Range-Value-at-Risk.

In this paper we consider reinsurance or risk sharing from a macroeconomic point of view. Our aim is to find socially optimal reinsurance treaties. In our setting we assume that there are nn insurance companies each bearing a certain risk and one representative reinsurer. The optimization problem is to minimize the su…

2017-11-28abs ↗pdf ↗

The paper introduces MRVaR and MRCov for elliptical and log-elliptical distributions.

problem Risk management of regulation and investment purposes.
method Proposes MRVaR and MRCov as risk measures for elliptical and log-elliptical distributions.
result Explicit expressions of MRVaR and MRCov derived for multivariate (log-)elliptical distributions.

Paper provides new bounds for risk aggregation and sharing.

problem Quantitative risk management and robust risk aggregation with dependence uncertainty.
method Established new inequality for RVaR, derived extended convolution bounds, and analyzed risk sharing for averaged quantiles.
result Extended convolution bounds for robust risk aggregation and risk sharing, providing sharpness conditions and explicit expressions.

The debate of what quantitative risk measure to choose in practice has mainly focused on the dichotomy between Value at Risk (VaR) -- a quantile -- and Expected Shortfall (ES) -- a tail expectation. Range Value at Risk (RVaR) is a natural interpolation between these two prominent risk measures, which constitutes a trad…

2019-02-12abs ↗pdf ↗

The paper optimizes reinsurance under uncertain dependence among insurers.

problem Designing Pareto-optimal reinsurance contracts in a market with uncertain dependence.
method Robust optimization approach assuming known marginal distributions and unspecified dependence structure.
result Characterization of optimal indemnity schedules under worst-case scenario and derivation of optimal two-parameter layer contracts for independent risks.

Study examines cryptocurrency impacts on financial indices using advanced risk models.

problem Interdependence between cryptocurrencies and financial indices, focusing on risk spillover.
method Hybrid approach integrating GARCH, EVT, and copula functions for risk measures.
result eGARCH-EVT-Copula model outperforms conventional methods in risk estimation.