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In multi-state life insurance, an adequate balance between analytic tractability, computational efficiency, and statistical flexibility is of great importance. This might explain the popularity of Markov chain modelling, where matrix…

Probability · Mathematics 2024-04-25 Jamaal Ahmad , Mogens Bladt , Christian Furrer

This project works with the risk model developed by Li et al. (2015) and quests modelling, estimating and pricing insurance for risks brought in by innovative technologies, or other emerging or latent risks. The model considers two…

Statistics Theory · Mathematics 2019-05-20 Weihong Ni , Corina Constantinescu , Alfredo Egídio dos Reis , Véronique Maume-Deschamps

Modeling insurance claim amounts and classifying claims into different risk levels are critical yet challenging tasks. Traditional predictive models for insurance claims often overlook the valuable information embedded in claim…

Applications · Statistics 2024-10-08 Yanxi Hou , Xiaolan Xia , Guangyuan Gao

Sampling-based approaches are widely used in systems without analytic models to estimate risk or find optimal control. However, gathering sufficient data in such scenarios can be prohibitively costly. On the other hand, in many situations,…

Systems and Control · Electrical Eng. & Systems 2026-02-16 Zhuoyuan Wang , Takashi Tanaka , Yongxin Chen , Yorie Nakahira

We consider large-scale Markov decision processes (MDPs) with a risk measure of variability in cost, under the risk-aware MDPs paradigm. Previous studies showed that risk-aware MDPs, based on a minimax approach to handling risk, can be…

Systems and Control · Computer Science 2017-05-17 Pengqian Yu , William B. Haskell , Huan Xu

We present a computational modeling framework for data-driven simulations and analysis of infectious disease spread in large populations. For the purpose of efficient simulations, we devise a parallel solution algorithm targeting…

Populations and Evolution · Quantitative Biology 2018-02-19 Pavol Bauer , Stefan Engblom , Stefan Widgren

We consider posterior sampling in the very common Bayesian hierarchical model in which observed data depends on high-dimensional latent variables that, in turn, depend on relatively few hyperparameters. When the full conditional over the…

Computation · Statistics 2016-10-24 Richard A. Norton , J. Andres Christen , Colin Fox

Planning under model uncertainty is a fundamental problem across many applications of decision making and learning. In this paper, we propose the Robust Adaptive Monte Carlo Planning (RAMCP) algorithm, which allows computation of…

Artificial Intelligence · Computer Science 2019-01-10 Apoorva Sharma , James Harrison , Matthew Tsao , Marco Pavone

For big data analysis, high computational cost for Bayesian methods often limits their applications in practice. In recent years, there have been many attempts to improve computational efficiency of Bayesian inference. Here we propose an…

Computation · Statistics 2017-04-19 Cheng Zhang , Babak Shahbaba , Hongkai Zhao

Estimating risk measures such as large loss probabilities and Value-at-Risk is fundamental in financial risk management and often relies on computationally intensive nested Monte Carlo methods. While Multi-Level Monte Carlo (MLMC)…

Computational Finance · Quantitative Finance 2025-10-23 Alexandre Boumezoued , Adel Cherchali , Vincent Lemaire , Gilles Pagès , Mathieu Truc

We investigate the problem of computing a nested expectation of the form $\mathbb{P}[\mathbb{E}[X|Y] \!\geq\!0]\!=\!\mathbb{E}[\textrm{H}(\mathbb{E}[X|Y])]$ where $\textrm{H}$ is the Heaviside function. This nested expectation appears, for…

Computational Finance · Quantitative Finance 2019-02-15 Michael B. Giles , Abdul-Lateef Haji-Ali

In this study, MLP models with dynamic structure are applied to factor models for asset pricing tasks. Concretely, the MLP pyramid model structure was employed on firm-characteristic-sorted portfolio factors for modelling the large-capital…

Pricing of Securities · Quantitative Finance 2025-05-07 Shanyan Lai

This book aims to provide a graduate-level introduction to advanced topics in Markov chain Monte Carlo (MCMC) algorithms, as applied broadly in the Bayesian computational context. Most, if not all of these topics (stochastic gradient MCMC,…

Machine Learning · Statistics 2024-07-18 Paul Fearnhead , Christopher Nemeth , Chris J. Oates , Chris Sherlock

Bayesian hierarchical modeling is a popular approach to capturing unobserved heterogeneity across individual units. However, standard estimation methods such as Markov chain Monte Carlo (MCMC) can be impracticable for modeling outcomes from…

Methodology · Statistics 2014-11-04 Michael Braun , Paul Damien

Random shifting typically appears in credibility models whereas random scaling is often encountered in stochastic models for claim sizes reflecting the time-value property of money. In this article we discuss some aspects of random shifting…

Methodology · Statistics 2014-10-08 Enkelejd Hashorva , Lanpeng Ji

The analysis of large scale medical claims data has the potential to improve quality of care by generating insights which can be used to create tailored medical programs. In particular, the multivariate probit model can be used to…

We propose a Markov Chain Monte Carlo (MCMC) algorithm based on Gibbs sampling with parallel tempering to solve nonlinear optimal control problems. The algorithm is applicable to nonlinear systems with dynamics that can be approximately…

Optimization and Control · Mathematics 2024-07-10 João Hespanha , Kerem Camsari

Markov Chain Monte Carlo (MCMC) sampling is computationally expensive, especially for complex models. Alternative methods make simplifying assumptions about the posterior to reduce computational burden, but their impact on predictive…

Computation · Statistics 2025-10-27 Florian D. van Leeuwen , Sara van Erp

Accurately and efficiently estimating system performance under uncertainty is paramount in power system planning and operation. Monte Carlo simulation is often used for this purpose, but convergence may be slow, especially when detailed…

Computation · Statistics 2020-10-23 Simon Tindemans , Goran Strbac

Latent variable models are increasingly used in economics for high-dimensional categorical data like text and surveys. We demonstrate the effectiveness of Hamiltonian Monte Carlo (HMC) with parallelized automatic differentiation for…

Econometrics · Economics 2024-03-04 Szymon Sacher , Laura Battaglia , Stephen Hansen