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Related papers: Default Contagion with Domino Effect , A First Pas…

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Models of contagion arise broadly both in the biological and social sciences, with applications ranging from the transmission of infectious diseases to the diffusion of innovations and the spread of cultural fads. In this Letter, we…

Disordered Systems and Neural Networks · Physics 2009-11-10 P. S. Dodds , D. J. Watts

In this paper we propose a simple and efficient method to compute the ordered default time distributions in both the homogeneous case and the two-group heterogeneous case under the interacting intensity default contagion model. We give the…

Pricing of Securities · Quantitative Finance 2012-04-19 Jia-Wen Gu , Wai-Ki Ching , Tak-Kuen Siu , Harry Zheng

This work focuses on recurrence and ergodicity of switching diffusions consisting of continuous and discrete components, in which the discrete component takes values in a countably infinite set and the rates of switching at current time…

Probability · Mathematics 2017-06-27 Dang H. Nguyen , George Yin

We introduce an infectious default and recovery model for N obligors. Obligors are assumed to be exchangeable and their states are described by N Bernoulli random variables S_{i} (i=1,...,N). They are expressed by multiplying independent…

Data Analysis, Statistics and Probability · Physics 2009-11-13 Ayaka Sakata , Masato Hisakado , Shintaro Mori

Human beings learn causal models and constantly use them to transfer knowledge between similar environments. We use this intuition to design a transfer-learning framework using object-oriented representations to learn the causal…

Machine Learning · Computer Science 2020-07-21 Purva Pruthi , Javier González , Xiaoyu Lu , Madalina Fiterau

We study systemic default contagion in sparse financial networks and develop a framework for deciding when aggregate exposure matrices are reliable and when node-level network information changes tail risk and control design. The first…

Optimization and Control · Mathematics 2026-05-26 Aoxin Zhang , Yingzhe Wang

This study proposes a stochastic model for loss-given-default (LGD) which provides the LGD distribution based on credit market and company-specific financial conditions. The model utilizes last passage time of a linear diffusion…

Risk Management · Quantitative Finance 2025-11-04 Masahiko Egami , Rusudan Kevkhishvili

We present a general model for default time, making precise the role of the intensity process, and showing that this process allows for a knowledge of the conditional distribution of the default only "before the default". This lack of…

Probability · Mathematics 2009-05-06 Nicole El Karoui , Monique Jeanblanc , Ying Jiao

Failure times of a machinery cannot always be assumed independent and identically distributed, e.g. if after reparations the machinery is not restored to a same-as-new condition. Framed within the renewal processes approach, a…

Applications · Statistics 2019-05-14 Arrigo Coen , Luis Gutiérrez , Ramsés H. Mena

We propose a dynamic model of dependence structure between financial institutions within a financial system and we construct measures for dependence and financial instability. Employing Markov structures of joint credit migrations, our…

Mathematical Finance · Quantitative Finance 2018-09-11 Yu-Sin Chang

We consider a multivariate default system where random environmental information is available. We study the dynamics of the system in a general setting and adopt the point of view of change of probability measures. We also make a link with…

Risk Management · Quantitative Finance 2016-11-21 Nicole El Karoui , Monique Jeanblanc , Ying Jiao

The multiple extension problem arises frequently in diagnostic and default inference. That is, we can often use any of a number of sets of defaults or possible hypotheses to explain observations or make Predictions. In default inference,…

Artificial Intelligence · Computer Science 2013-04-11 Eric Neufeld , David L Poole

Contagion, broadly construed, refers to anything that can spread infectiously from peer to peer. Examples include communicable diseases, rumors, misinformation, ideas, innovations, bank failures, and electrical blackouts. Sometimes, as in…

Physics and Society · Physics 2020-07-08 Jonas S. Juul , Steven H. Strogatz

Convergence of resource allocation algorithms is well covered in the literature as convergence to a steady state is important due to stability and performance. However, research is lacking when it comes to the propagation of change that…

Information Theory · Computer Science 2012-10-19 Brage Ellingsæter , Torleiv Maseng

The standard intensity-based approach for modeling defaults is generalized by making the deterministic term structure of the survival probability stochastic via a common jump process. The survival copula of the vector of default times is…

Probability · Mathematics 2010-08-16 Marius Hofert , Frederic Vrins

We illustrate a class of conditional models for the analysis of longitudinal data suffering attrition in random effects models framework, where the subject-specific random effects are assumed to be discrete and to follow a time-dependent…

Methodology · Statistics 2014-04-28 Antonello Maruotti

We address the problem of automatically acquiring case frame patterns (selectional patterns) from large corpus data. In particular, we propose a method of learning dependencies between case frame slots. We view the problem of learning case…

cmp-lg · Computer Science 2008-02-03 Hang Li , Naoki Abe

The intensity of a default time is obtained by assuming that the default indicator process has an absolutely continuous compensator. Here we drop the assumption of absolute continuity with respect to the Lebesgue measure and only assume…

Mathematical Finance · Quantitative Finance 2015-12-15 Frank Gehmlich , Thorsten Schmidt

A simple graphical model for correlated defaults is proposed, with explicit formulas for the loss distribution. Algebraic geometry techniques are employed to show that this model is well posed for default dependence: it represents any given…

Computational Finance · Quantitative Finance 2008-12-10 I. Onur Filiz , Xin Guo , Jason Morton , Bernd Sturmfels

We present the qGaussian generalization of the Merton framework, which takes into account slow fluctuations of the volatility of the firms market value of financial assets. The minimal version of the model depends on the Tsallis entropic…

Risk Management · Quantitative Finance 2014-10-28 Yuri A. Katz
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