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This work focuses on financial risks from a probabilistic point of view. The value of a firm is described as a geometric Brownian motion and default emerges as a first passage time event. On the technical side, the critical threshold that…

Mathematical Finance · Quantitative Finance 2025-07-14 Carlos Bouthelier-Madre , Carlos Escudero

This paper presents a new method to assess default risk based on applying the CEV process to the KMV model. We find that the volatility of the firm asset value may not be a constant, so we assume the firm's asset value dynamics are given by…

Risk Management · Quantitative Finance 2022-05-23 Wen Su

Risk-neutral default probabilities can be implied from credit default swap (CDS) market quotes. In practice, mid CDS quotes are used as inputs, as their risk-neutral counterparts are not observable. We show how to imply risk-neutral default…

Mathematical Finance · Quantitative Finance 2021-08-17 Matteo Michielon , Asma Khedher , Peter Spreij

A multi-fidelity simulator is a numerical model, in which one of the inputs controls a trade-off between the realism and the computational cost of the simulation. Our goal is to estimate the probability of exceeding a given threshold on a…

Methodology · Statistics 2021-03-31 Rémi Stroh , Julien Bect , Séverine Demeyer , Nicolas Fischer , Emmanuel Vazquez

Recent advances in computing power and the potential to make more realistic assumptions due to increased flexibility have led to the increased prevalence of simulation models in economics. While models of this class, and particularly…

General Economics · Economics 2019-06-12 Donovan Platt

The performance of modern machine learning methods highly depends on their hyperparameter configurations. One simple way of selecting a configuration is to use default settings, often proposed along with the publication and implementation…

Machine Learning · Statistics 2021-05-03 Florian Pfisterer , Jan N. van Rijn , Philipp Probst , Andreas Müller , Bernd Bischl

Given the cost and duration of phase III and phase IV clinical trials, the development of statistical methods for go/no-go decisions is vital. In this paper, we introduce a Bayesian methodology to compute the probability of success based on…

Methodology · Statistics 2020-10-27 Ethan M. Alt , Matthew A. Psioda , Joseph G. Ibrahim

We study large deviations and rare default clustering events in a dynamic large heterogeneous portfolio of interconnected components. Defaults come as Poisson events and the default intensities of the different components in the system…

Probability · Mathematics 2015-02-20 Konstantinos Spiliopoulos , Richard B. Sowers

The credit rating is an evaluation of a company's credit risk that values the ability to pay back the debt and predict the likelihood of the debtor defaulting. There are various features influencing credit rating. Therefore, it is essential…

Statistical Finance · Quantitative Finance 2020-12-22 Shenghuan Yang , lonut Florescu , Md Tariqul Islam

We study an open problem of risk-sensitive portfolio allocation in a regime-switching credit market with default contagion. The state space of the Markovian regime-switching process is assumed to be a countably infinite set. To characterize…

Portfolio Management · Quantitative Finance 2018-10-25 Lijun Bo , Huafu Liao , Xiang Yu

The main challenges that arise when adopting Gaussian Process priors in probabilistic modeling are how to carry out exact Bayesian inference and how to account for uncertainty on model parameters when making model-based predictions on…

Machine Learning · Statistics 2014-04-08 Maurizio Filippone , Mark Girolami

We consider the problem of estimating a probability of failure $\alpha$, defined as the volume of the excursion set of a function $f:\mathbb{X} \subseteq \mathbb{R}^{d} \to \mathbb{R}$ above a given threshold, under a given probability…

Computation · Statistics 2017-08-24 Julien Bect , Ling Li , Emmanuel Vazquez

In this paper we propose a method to obtain global explanations for trained black-box classifiers by sampling their decision function to learn alternative interpretable models. The envisaged approach provides a unified solution to…

Machine Learning · Computer Science 2018-11-26 Irene Unceta , Jordi Nin , Oriol Pujol

This article presents a Bayesian inferential method where the likelihood for a model is unknown but where data can easily be simulated from the model. We discretize simulated (continuous) data to estimate the implicit likelihood in a…

The standard approach for constructing a Mean-Variance portfolio involves estimating parameters for the model using collected samples. However, since the distribution of future data may not resemble that of the training set, the…

Mathematical Finance · Quantitative Finance 2025-03-12 Duy Khanh Lam

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.…

Mathematical Finance · Quantitative Finance 2019-07-23 Damien Ackerer , Damir Filipović

Predicting the Credit Defaulter is a perilous task of Financial Industries like Banks. Ascertaining non-payer before giving loan is a significant and conflict-ridden task of the Banker. Classification techniques are the better choice for…

Machine Learning · Computer Science 2015-03-29 Lakshmi Devasena C

When a loan is approved for a person or company, the bank is subject to \emph{credit risk}; the risk that the lender defaults. To mitigate this risk, a bank will require some form of \emph{security}, which will be collected if the lender…

Data Structures and Algorithms · Computer Science 2019-03-01 Hannaneh Akrami , Kurt Mehlhorn , Tommy Odland

Uncertainty of decisions in safety-critical engineering applications can be estimated on the basis of the Bayesian Markov Chain Monte Carlo (MCMC) technique of averaging over decision models. The use of decision tree (DT) models assists…

Artificial Intelligence · Computer Science 2010-12-03 Vitaly Schetinin , Jonathan Fieldsend , Derek Partridge , Wojtek Krzanowski , Richard Everson , Trevor Bailey , Adolfo Hernandez

Accurate simulation of complex physical systems enables the development, testing, and certification of control strategies before they are deployed into the real systems. As simulators become more advanced, the analytical tractability of the…

Robotics · Computer Science 2020-05-27 Lucas Barcelos , Rafael Oliveira , Rafael Possas , Lionel Ott , Fabio Ramos