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In this paper, we consider an optimal reinsurance problem to minimize the probability of drawdown for the scaled Cram\'er-Lundberg risk model when the reinsurance premium is computed according to the mean-variance premium principle. We…

最优化与控制 · 数学 2022-01-04 Pablo Azcue , Xiaoqing Liang , Nora Muler , Virginia R. Young

We consider a financial market model with a single risky asset whose price process evolves according to a general jump-diffusion with locally bounded coefficients and where market participants have only access to a partial information flow.…

投资组合管理 · 定量金融 2015-08-14 Claudio Fontana , Bernt Øksendal , Agnès Sulem

We develop static and dynamic approaches for hedging of the impermanent loss (IL) of liquidity provision (LP) staked at Decentralised Exchanges (DEXes) which employ Uniswap V2 and V3 protocols. We provide detailed definitions and formulas…

数理金融 · 定量金融 2024-07-09 Alexander Lipton , Vladimir Lucic , Artur Sepp

Since federated learning (FL) has been introduced as a decentralized learning technique with privacy preservation, statistical heterogeneity of distributed data stays the main obstacle to achieve robust performance and stable convergence in…

机器学习 · 计算机科学 2022-12-08 Yanhang Shi , Siguang Chen , Haijun Zhang

In this paper, we consider statistical estimation of time-inhomogeneous aggregate Markov models. Unaggregated models, which corresponds to Markov chains, are commonly used in multi-state life insurance to model the biometric states of an…

统计理论 · 数学 2023-08-11 Jamaal Ahmad , Mogens Bladt

In this article we consider the surplus process of an insurance company within the Cramer-Lundberg framework. We study the optimal reinsurance strategy and dividend distribution of an insurance company under proportional reinsurance, in…

最优化与控制 · 数学 2026-05-22 Zakaria Aljaberi , Asma Khedher , Mohamed Mnif

We propose a robust method of discrete choice analysis when agents' choice sets are unobserved. Our core model assumes nothing about agents' choice sets apart from their minimum size. Importantly, it leaves unrestricted the dependence,…

计量经济学 · 经济学 2021-02-11 Levon Barseghyan , Maura Coughlin , Francesca Molinari , Joshua C. Teitelbaum

In this article we consider risk-sensitive control of semi-Markov processes with a discrete state space. We consider general utility functions and discounted cost in the optimization criteria. We consider random finite horizon and infinite…

最优化与控制 · 数学 2021-01-13 Arnab Bhabak , Subhamay Saha

Necessary optimality conditions in Lagrangian form and the sequential minimization framework are extended to mixed-integer nonlinear optimization, without any convexity assumptions. Building upon a recently developed notion of local…

最优化与控制 · 数学 2026-04-10 Alberto De Marchi

Prognostic models in survival analysis are aimed at understanding the relationship between patients' covariates and the distribution of survival time. Traditionally, semi-parametric models, such as the Cox model, have been assumed. These…

机器学习 · 统计学 2020-11-06 Denise Rava , Jelena Bradic

This paper establishes bounds on the performance of empirical risk minimization for large-dimensional linear regression. We generalize existing results by allowing the data to be dependent and heavy-tailed. The analysis covers both the…

计量经济学 · 经济学 2025-04-23 Christian Brownlees , Guðmundur Stefán Guðmundsson

We present here a regress later based Monte Carlo approach that uses neural networks for pricing high-dimensional contingent claims. The choice of specific architecture of the neural networks used in the proposed algorithm provides for…

计算金融 · 定量金融 2019-11-27 Vikranth Lokeshwar , Vikram Bhardawaj , Shashi Jain

Excess hazard modeling is one of the main tools in population-based cancer survival research. Indeed, this setting allows for direct modeling of the survival due to cancer even in the absence of reliable information on the cause of death,…

统计方法学 · 统计学 2022-04-12 A. Eletti , G. Marra , M. Quaresma , R. Radice , F. J. Rubio

In this work, we present a numerical method based on a sparse grid approximation to compute the loss distribution of the balance sheet of a financial or an insurance company. We first describe, in a stylised way, the assets and liabilities…

If a financial asset's price movement impacts a firm's product demand, the firm can respond to the impact by adjusting its operational decisions. For example, in the automotive industry, car makers decrease the selling prices of…

风险管理 · 定量金融 2023-06-22 Liao Wang , Jin Yao , Xiaowei Zhang

This paper studies proportional risk sharing at claim occurrence time in community-based insurance. Each participant is modeled by an individual Cram\'er-Lundberg surplus process, and, whenever a claim is reported within the pool, its cost…

We study a dynamic portfolio optimization problem related to convergence trading, which is an investment strategy that exploits temporary mispricing by simultaneously buying relatively underpriced assets and selling short relatively…

投资组合管理 · 定量金融 2019-10-08 Sühan Altay , Katia Colaneri , Zehra Eksi

In the framework of nonparametric multivariate function estimation we are interested in structural adaptation. We assume that the function to be estimated possesses the single-index structure where neither the link function nor the index…

统计理论 · 数学 2013-04-26 Oleg Lepski , Nora Serdyukova

We consider the problem of an agent who faces losses in continuous time over a finite time horizon and may choose to share some of these losses with a counterparty. The agent is uncertain about the true loss distribution and has multiple…

风险管理 · 定量金融 2026-01-13 Emma Kroell , Sebastian Jaimungal , Silvana M. Pesenti

Motivated by the asset-liability management of a nuclear power plant operator, we consider the problem of finding the least expensive portfolio, which outperforms a given set of stochastic benchmarks. For a specified loss function, the…

风险管理 · 定量金融 2013-09-23 Ying Jiao , Olivier Klopfenstein , Peter Tankov