63 résultats
pour « Quantification des risques »
In 1921, Keynes and Knight stressed the distinction between uncertainty and risk. While risk involves calculable probabilities, uncertainty lacks a scientific basis for probabilities. Knightian uncertainty exists when outcomes can't be assigned probabilities. This poses challenges in decision-making and regulation, especially in scenarios like AI, urging caution for eliminating worst-case scenarios due to potential high costs and missed benefits.
The paper addresses challenges in risk assessment from limited, non-stationary historical data and heavy-tailed distributions. It introduces a novel method for scaling risk estimators, ensuring robustness and conservative risk assessment. This approach extends time scaling beyond conventional methods, facilitates risk transfers, and enables unbiased estimation in small sample settings. Demonstrated through value-at-risk and expected shortfall estimation examples, the method's effectiveness is supported by an empirical study showcasing its impact.
This study explores cyber risk in businesses, suggesting cybersecurity investment and insurance as key strategies. Using a network model, it examines firms' interconnected decisions, defining a Nash equilibrium where firms optimize cybersecurity and insurance. Findings highlight their interdependence and how network structures affect choices, reinforced by numerical analyses.
The paper explores optimal insurance contracts using decision makers' preferences, combining expected loss with a deviation measure like Gini coefficient or standard deviation. It reveals that using expected value principle favors stop-loss indemnities, defining precise deductibles. The optimal indemnity structure remains consistent even with a capped insurance premium. Multiple examples based on Gini coefficient and standard deviation illustrate these findings.
We study risk processes with level dependent premium rate. Assuming that the premium rate converges, as the risk reserve increases, to the critical value in the net-profit condition, we obtain upper and lower bounds for the ruin probability. In contrast to existing in the literature results, our approach is purely probabilistic and based on the analysis of Markov chains with asymptotically zero drift.
#bayesian data imputation holds significant importance in a variety of fields including #riskmanagement. Incomplete or missing data can hinder a thorough analysis of risks, making accurate decision-making challenging. By employing imputation techniques to fill in the gaps, risk managers can obtain a more comprehensive and reliable understanding of the underlying risk factors. This, in turn, enables them to make informed decisions and develop effective strategies for #riskmitigation.
Proactive cyber-risk assessment is gaining importance due to its potential benefits in preventing cyber incidents across various sectors and addressing emerging vulnerabilities in cyber-physical systems. This study presents a robust statistical framework, using mid-quantile regression, to assess cyber vulnerabilities, rank them, and measure accuracy while dealing with partial knowledge. The model is tested with simulated and real data to support informed decision-making in operational scenarios.
This paper introduces new characterizations for certain types of law-invariant star-shaped functionals, particularly those with stochastic dominance consistency. It establishes Kusuoka-type representations for these functionals, connecting them to Value-at-Risk and Expected Shortfall. The results are versatile and applicable in diverse financial, insurance, and probabilistic settings.
This paper presents a fundamental #mathematical duality linking utility transforms and #probability distortions, which are vital in #decisionmaking under #risk. It reveals that these concepts are characterized by commutation, allowing for simple axiomatization with just one property. Additionally, rank-dependent utility transforms are further characterized under monotonicity conditions.
"This paper examines a #stochastic one-period #insurancemarket with incomplete information. The aggregate amount of #claims follows a compound #poisson distribution. #insurers are assumed to be exponential utility maximizers, with their degree of #riskaversion forming their private information. A premium strategy is defined as a map between risk types and premium rates. The optimal premium strategies are denoted by the pure-strategy #bayesian #nash equilibrium, whose existence and uniqueness are demonstrated under specific conditions for the demand function..."