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We introduce a novel class of credit risk models in which the drift of the survival process of a firm is a linear function of the factors. The prices of defaultable bonds and credit default swaps (CDS) are linear-rational in the factors.…

数理金融 · 定量金融 2019-07-23 Damien Ackerer , Damir Filipović

The paper provides an overview of the theory and applications of risk-sensitive Markov decision processes. The term 'risk-sensitive' refers here to the use of the Optimized Certainty Equivalent as a means to measure expectation and risk.…

风险管理 · 定量金融 2025-09-23 Nicole Bäuerle , Anna Jaśkiewicz

We consider the problem of estimating the transition rate matrix of a continuous-time Markov chain from a finite-duration realisation of this process. We approach this problem in an imprecise probabilistic framework, using a set of prior…

机器学习 · 统计学 2018-07-12 Thomas Krak , Alexander Erreygers , Jasper De Bock

We study the problem of sequentially testing whether a given stochastic process is generated by a known Markov chain. Formally, given access to a stream of random variables, we want to quickly determine whether this sequence is a trajectory…

应用统计 · 统计学 2025-01-24 Greg Fields , Tara Javidi , Shubhanshu Shekhar

The standard version of the policy iteration (PI) algorithm fails for semicontinuous models, that is, for models with lower semicontinuous one-step costs and weakly continuous transition law. This is due to the lack of continuity properties…

最优化与控制 · 数学 2023-07-17 Óscar Vega-Amaya , Fernando Luque-Vásquez

We introduce a class of continuous-time bivariate phase-type distributions for modeling dependencies from common shocks. The construction uses continuous-time Markov processes that evolve identically until an internal common-shock event,…

统计理论 · 数学 2025-12-01 Martin Bladt , Oscar Peralta , Jorge Yslas

Understanding variable dependence, particularly eliciting their statistical properties given a set of covariates, provides the mathematical foundation in practical operations management such as risk analysis and decision-making given…

统计方法学 · 统计学 2023-09-06 Yunyun Wang , Tatsushi Oka , Dan Zhu

Recently, Bj{\o}ru et al. proposed a novel divide-and-conquer algorithm for bounding counterfactual probabilities in structural causal models (SCMs). They assumed that the SCMs were learned from purely observational data, leading to an…

人工智能 · 计算机科学 2025-11-19 Anna Rodum Bjøru , Rafael Cabañas , Helge Langseth , Antonio Salmerón

The risk of a credit portfolio depends crucially on correlations between the probability of default (PD) in different economic sectors. Often, PD correlations have to be estimated from relatively short time series of default rates, and the…

统计力学 · 物理学 2008-12-02 Bernd Rosenow , Rafael Weissbach , Frank Altrock

This paper presents a novel approach to stochastic volatility (SV) modeling by utilizing nonparametric techniques that enhance our ability to capture the volatility of financial time series data, with a particular emphasis on the…

统计计算 · 统计学 2025-02-18 Yudong Feng , Ashis Gangopadhyay

In this paper we present a novel algorithm to study the evolution of credit risk across complex multilayer networks. Pagerank-like algorithms allow for the propagation of an influence variable across single networks, and allow quantifying…

社会与信息网络 · 计算机科学 2020-08-24 Cristián Bravo , María Óskarsdóttir

The introduction of CCPs in most derivative transactions will dramatically change the landscape of derivatives pricing, hedging and risk management, and, according to the TABB group, will lead to an overall liquidity impact about 2 USD…

证券定价 · 定量金融 2014-01-17 Damiano Brigo , Andrea Pallavicini

Reinsurance counterparty credit risk (RCCR) is the risk of a loss arising from the fact that a reinsurance company is unable to fulfill her contractual obligations towards the ceding insurer. RCCR is an important risk category for insurance…

风险管理 · 定量金融 2019-09-11 Claudia Ceci , Katia Colaneri , Rdiger Frey , Verena Köck

Markov processes are used in a wide range of disciplines, including finance. The transition densities of these processes are often unknown. However, the conditional characteristic functions are more likely to be available, especially for…

统计理论 · 数学 2013-02-04 Song X. Chen , Liang Peng , Cindy L. Yu

In this paper we consider a multivariate model-based approach to measure the dynamic evolution of tail risk interdependence among US banks, financial services and insurance sectors. To deeply investigate the risk contribution of insurers we…

风险管理 · 定量金融 2014-04-17 M. Bernardi , L. Petrella

We consider statistical Markov Decision Processes where the decision maker is risk averse against model ambiguity. The latter is given by an unknown parameter which influences the transition law and the cost functions. Risk aversion is…

最优化与控制 · 数学 2021-07-21 Nicole Bäuerle , Ulrich Rieder

The research presented in this work is motivated by some recent papers regarding hedging and valuation of financial securities subject to funding costs, collateralization and counterparty credit risk. Our goal is to provide a sound…

证券定价 · 定量金融 2013-06-24 Tomasz R. Bielecki , Marek Rutkowski

Many analyses of multivariate data focus on evaluating the dependence between two sets of variables, rather than the dependence among individual variables within each set. Canonical correlation analysis (CCA) is a classical data analysis…

统计方法学 · 统计学 2024-04-23 Jordan G. Bryan , Jonathan Niles-Weed , Peter D. Hoff

The issue of model risk in default modeling has been known since inception of the Academic literature in the field. However, a rigorous treatment requires a description of all the possible models, and a measure of the distance between a…

数理金融 · 定量金融 2019-06-17 Roberto Fontana , Elisa Luciano , Patrizia Semeraro

A setting of a trivairate survival function using semi-competing risks concept is proposed. The Stanford Heart Transplant data is reanalyzed using a trivariate Weibull distribution model with the proposed survival function.

应用统计 · 统计学 2008-10-01 Cheng K. Lee , Jenq-Daw Lee