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Unsupervised estimation of latent variable models is a fundamental problem central to numerous applications of machine learning and statistics. This work presents a principled approach for estimating broad classes of such models, including…

Machine Learning · Statistics 2013-05-27 Animashree Anandkumar , Daniel Hsu , Adel Javanmard , Sham M. Kakade

Quantile regression is a powerful tool for inferring how covariates affect specific percentiles of the response distribution. Existing methods either estimate conditional quantiles separately for each quantile of interest or estimate the…

Methodology · Statistics 2024-11-19 Joseph Feldman , Daniel Kowal

The prediction of future insurance claims based on observed risk factors, or covariates, help the actuary set insurance premiums. Typically, actuaries use parametric regression models to predict claims based on the covariate information.…

Methodology · Statistics 2026-04-14 Mostafa Shams Esfand Abadi , Kaushik Ghosh

The paper shows how to determine the loss on an LGD borrower's loan after default, with or without preparation of a separate model. LGD after default is estimated taking into account the average repayment period of the defaulted loan,…

Risk Management · Quantitative Finance 2026-04-28 Pomazanov Mikhail

The model evidence is a vital quantity in the comparison of statistical models under the Bayesian paradigm. This paper presents a review of commonly used methods. We outline some guidelines and offer some practical advice. The reviewed…

Methodology · Statistics 2011-11-09 Nial Friel , Jason Wyse

Many scientific and engineering applications require fitting regression models that are nonlinear in the parameters. Advances in computer hardware and software in recent decades have made it easier to fit such models. Relative to fitting…

Methodology · Statistics 2024-03-20 Peng Liu , William Q. Meeker

This paper proposes a new Bayesian machine learning model that can be applied to large datasets arising in macroeconomics. Our framework sums over many simple two-component location mixtures. The transition between components is determined…

Econometrics · Economics 2023-12-05 Florian Huber

The failure rate function plays an important role in studying the lifetime distributions in reliability theory and life testing models. A study of the general failure rate model $r(t)=a+bt^{\theta-1}$, under squared error loss function…

Computation · Statistics 2014-05-23 Asok K. Nanda , Sudhansu S. Maiti , Chanchal Kundu , Amarjit Kundu

Complex non-linear interactions between banks and assets we model by two time-dependent Erd\H{o}s Renyi network models where each node, representing bank, can invest either to a single asset (model I) or multiple assets (model II). We use…

Risk Management · Quantitative Finance 2015-06-19 B. Podobnik , D. Horvatic , M. Bertella , L. Feng , X. Huang , B. Li

We introduce a Loss Discounting Framework for model and forecast combination which generalises and combines Bayesian model synthesis and generalized Bayes methodologies. We use a loss function to score the performance of different models…

Methodology · Statistics 2024-03-29 Dawid Bernaciak , Jim E. Griffin

The term structure of credit spreads is studied with an aim to predict its future movements. A completely new approach to tackle this problem is presented, which utilizes nonlinear parametric models. The Brain-Cousens regression model with…

Statistical Finance · Quantitative Finance 2014-01-28 Radoslava Mirkov , Thomas Maul , Ronald Hochreiter , Holger Thomae

In this paper, we investigate a semiparametric regression model under the context of treatment effects via a localized neural network (LNN) approach. Due to a vast number of parameters involved, we reduce the number of effective parameters…

Econometrics · Economics 2024-07-23 Jiti Gao , Fei Liu , Bin Peng , Yanrong Yang

We consider the prediction of weak effects in a multiple-output regression setup, when covariates are expected to explain a small amount, less than $\approx 1%$, of the variance of the target variables. To facilitate the prediction of the…

A Bayesian analytics framework that precisely quantifies uncertainty offers a significant advance for financial risk management. We develop an integrated approach that consistently enhances the handling of risk in market volatility…

Risk Management · Quantitative Finance 2025-12-19 Sharif Al Mamun , Rakib Hossain , Md. Jobayer Rahman , Malay Kumar Devnath , Farhana Afroz , Lisan Al Amin

In recent years, bankruptcy forecasting has gained lot of attention from researchers as well as practitioners in the field of financial risk management. For bankruptcy prediction, various approaches proposed in the past and currently in…

Statistical Finance · Quantitative Finance 2024-09-05 Amir Mukeri , Habibullah Shaikh , D. P. Gaikwad

Being in the era of big data, modeling and prediction of count data have become significantly important in many fields including health, finance, social, etc. Although linear Poisson regression has been widely used to model count and rate…

Applications · Statistics 2018-10-25 Hansapani Rodrigo , Chris Tsokos

Recurrent binary outcomes within individuals, such as hospital readmissions, often reflect latent risk processes that evolve over time. Conventional methods like generalized linear mixed models and generalized estimating equations estimate…

Methodology · Statistics 2026-02-24 Niloofar Ramezani , Lori P. Selby , Pascal Nitiema , Jeffrey R. Wilson

A Bayesian network is a widely used probabilistic graphical model with applications in knowledge discovery and prediction. Learning a Bayesian network (BN) from data can be cast as an optimization problem using the well-known…

Artificial Intelligence · Computer Science 2020-09-01 Zhenyu A. Liao , Charupriya Sharma , James Cussens , Peter van Beek

The functional linear regression model is a common tool to determine the relationship between a scalar outcome and a functional predictor seen as a function of time. This paper focuses on the Bayesian estimation of the support of the…

Methodology · Statistics 2017-01-09 Paul-Marie Grollemund , Christophe Abraham , Meïli Baragatti , Pierre Pudlo

We propose information criteria that measure the prediction risk of a predictive density based on the Bayesian marginal likelihood from a frequentist point of view. We derive criteria for selecting variables in linear regression models,…

Methodology · Statistics 2017-10-20 Yuki Kawakubo , Tatsuya Kubokawa , Muni S. Srivastava