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Accuracy and interpretability of a (non-life) insurance pricing model are essential qualities to ensure fair and transparent premiums for policy-holders, that reflect their risk. In recent years, the classification and regression trees…

机器学习 · 统计学 2023-12-04 Yaojun Zhang , Lanpeng Ji , Georgios Aivaliotis , Charles Taylor

Bayesian Additive Regression Trees (BART) are a powerful ensemble learning technique for modeling nonlinear regression functions. Although initially BART was proposed for predicting only continuous and binary response variables, over the…

统计理论 · 数学 2026-03-24 Enakshi Saha

Bayesian additive regression trees (BART) is a flexible prediction model/machine learning approach that has gained widespread popularity in recent years. As BART becomes more mainstream, there is an increased need for a paper that walks…

应用统计 · 统计学 2025-09-18 Yaoyuan Vincent Tan , Jason Roy

Frequentist and Bayesian methods differ in many aspects, but share some basic optimal properties. In real-life classification and regression problems, situations exist in which a model based on one of the methods is preferable based on some…

统计方法学 · 统计学 2023-08-29 Tanujit Chakraborty , Gauri Kamat , Ashis Kumar Chakraborty

We propose a new class of claim severity distributions with six parameters, that has the standard two-parameter distributions, the log-normal, the log-Gamma, the Weibull, the Gamma and the Pareto, as special cases. This distribution is much…

统计方法学 · 统计学 2018-05-29 Erik Bølviken , Ingrid Hobæk Haff

Bayesian additive regression trees (BART) are popular Bayesian ensemble models used in regression and classification analysis. Under this modeling framework, the regression function is approximated by an ensemble of decision trees,…

统计计算 · 统计学 2025-11-26 Marco Battiston , Yu Luo

In this paper, we consider bivariate composite models for modeling jointly different types of claims and their associated costs in a flexible manner. For expository purposes, the Gumbel copula is paired with the composite Weibull-Inverse…

应用统计 · 统计学 2022-10-12 Girish Aradhye , George Tzougas , Deepesh Bhati

In many longitudinal studies, the covariate and response are often intermittently observed at irregular, mismatched and subject-specific times. How to deal with such data when covariate and response are observed asynchronously is an often…

统计方法学 · 统计学 2021-08-27 Hao Ran , Yang Bai

There is currently a dearth of appropriate methods to estimate the causal effects of multiple treatments when the outcome is binary. For such settings, we propose the use of nonparametric Bayesian modeling, Bayesian Additive Regression…

统计方法学 · 统计学 2020-03-02 Chenyang Gu , Michael J. Lopez , Liangyuan Hu

This paper proposes a flexible and analytically tractable class of frequency and severity models for predicting insurance claims. The proposed model is able to capture nonlinear relationships in explanatory variables by characterizing the…

计量经济学 · 经济学 2025-04-01 Dong-Young Lim

Tree-based regression and classification has become a standard tool in modern data science. Bayesian Additive Regression Trees (BART) has in particular gained wide popularity due its flexibility in dealing with interactions and non-linear…

统计计算 · 统计学 2022-09-13 Alan Inglis , Andrew Parnell , Catherine Hurley

Bayesian additive regression trees have seen increased interest in recent years due to their ability to combine machine learning techniques with principled uncertainty quantification. The Bayesian backfitting algorithm used to fit BART…

机器学习 · 统计学 2022-02-22 Antonio R. Linero

General circulation models (GCMs) are essential tools for climate studies. Such climate models may have varying accuracy across the input domain, but no model is uniformly best. One can improve climate model prediction performance by…

统计方法学 · 统计学 2026-01-27 John C. Yannotty , Thomas J. Santner , Bo Li , Matthew T. Pratola

Several collective risk models have recently been proposed by relaxing the widely used but controversial assumption of independence between claim frequency and severity. Approaches include the bivariate copula model, random effect model,…

应用统计 · 统计学 2019-06-11 Rosy Oh , Jae Youn Ahn , Woojoo Lee

In recent years, theoretical results and simulation evidence have shown Bayesian additive regression trees to be a highly-effective method for nonparametric regression. Motivated by cost-effectiveness analyses in health economics, where…

We present a Bayesian nonparametric model for conditional distribution estimation using Bayesian additive regression trees (BART). The generative model we use is based on rejection sampling from a base model. Typical of BART models, our…

统计方法学 · 统计学 2022-02-02 Yinpu Li , Antonio R. Linero , Jared S. Murray

The preponderance of large-scale healthcare databases provide abundant opportunities for comparative effectiveness research. Evidence necessary to making informed treatment decisions often relies on comparing effectiveness of multiple…

统计方法学 · 统计学 2020-10-06 Liangyuan Hu , Chenyang Gu

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.…

统计方法学 · 统计学 2026-04-14 Mostafa Shams Esfand Abadi , Kaushik Ghosh

There is a dearth of robust methods to estimate the causal effects of multiple treatments when the outcome is binary. This paper uses two unique sets of simulations to propose and evaluate the use of Bayesian Additive Regression Trees…

统计方法学 · 统计学 2020-01-22 Liangyuan Hu , Chenyang Gu , Michael Lopez , Jiayi Ji , Juan Wisnivesky

The Bayesian additive regression trees (BART) model is an ensemble method extensively and successfully used in regression tasks due to its consistently strong predictive performance and its ability to quantify uncertainty. BART combines…

统计方法学 · 统计学 2023-09-18 Mateus Maia , Keefe Murphy , Andrew C. Parnell
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