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This paper introduces a robust and computationally efficient estimation framework for high-dimensional volatility models in the BEKK-ARCH class. The proposed approach employs data truncation to ensure robustness against heavy-tailed…

统计理论 · 数学 2026-05-26 Kejun Chen , Yuchang Lin , Qianqian Zhu

In longitudinal observational studies with time-to-event outcomes, a common objective in causal analysis is to estimate the causal survival curve under hypothetical intervention scenarios. The g-formula is a useful tool for this analysis.…

统计方法学 · 统计学 2025-04-14 Xinyuan Chen , Liangyuan Hu , Fan Li

In the era of precision medicine, genome-wide epigenetic modifications offer rich data that could inform risk prediction. However, these data are high-dimensional and exhibit complex dependence structures, which makes it difficult to…

应用统计 · 统计学 2026-05-25 Saurabh Bhandari , Parveen Bhatti , Brian C. -H. Chiu , Yuan Ji

Estimation of individualized treatment effects (ITE), also known as conditional average treatment effects (CATE), is an active area of methodology development. However, much less attention has been paid to the quantification of uncertainty…

统计方法学 · 统计学 2025-04-08 Daijiro Kabata , Nicholas C. Henderson , Ravi Varadhan

Many applications involve data with qualitative and quantitative responses. When there is an association between the two responses, a joint model will provide improved results than modeling them separately. In this paper, we propose a…

统计方法学 · 统计学 2026-05-12 Xiaoning Kang , Shyam Ranganathan , Lulu Kang , Julia Gohlke , Xinwei Deng

Ensemble learning is a statistical paradigm built on the premise that many weak learners can perform exceptionally well when deployed collectively. The BART method of Chipman et al. (2010) is a prominent example of Bayesian ensemble…

机器学习 · 统计学 2018-10-08 Veronika Rockova , Enakshi Saha

An insurance company is required to prepare a certain amount of money, called reserve, as a mean to pay its policy holders claims in the future. There are several types of reserve, one of them is IBNR reserve, for which the payments are…

统计方法学 · 统计学 2024-02-28 Rizky Reza Fauzi , Jerremy Joelnathan Stevanlim

Several bivariate beta distributions have been proposed in the literature. In particular, Olkin and Liu (2003) proposed a 3 parameter bivariate beta model, which Arnold and Ng (2011) extend to 5 and 8 parameter models. The 3 parameter model…

统计计算 · 统计学 2015-08-21 Roberto C. Crackel , James M. Flegal

For a portfolio of life insurance policies observed for a stated period of time, e.g., one year, mortality is typically a rare event. When we examine the outcome of dying or not from such portfolios, we have an imbalanced binary response.…

应用统计 · 统计学 2020-07-31 Shuang Yin , Dipak K. Dey , Emiliano A. Valdez , Guojun Gan , Jeyaraj Vadiveloo

We clarify relationships between conditional (CAR) and simultaneous (SAR) autoregressive models. We review the literature on this topic and find that it is mostly incomplete. Our main result is that a SAR model can be written as a unique…

统计理论 · 数学 2017-10-20 Jay M. Ver Hoef , Ephraim M. Hanks , Mevin B. Hooten

Covariance estimation and selection for multivariate datasets in a high-dimensional regime is a fundamental problem in modern statistics. Gaussian graphical models are a popular class of models used for this purpose. Current Bayesian…

统计方法学 · 统计学 2019-03-06 Xuan Cao , Shaojun Zhang

Motivated by the Acute Respiratory Distress Syndrome Network (ARDSNetwork) ARDS respiratory management (ARMA) trial, we developed a flexible Bayesian machine learning approach to estimate the average causal effect and heterogeneous causal…

应用统计 · 统计学 2024-10-29 Xinyuan Chen , Michael O. Harhay , Guangyu Tong , Fan Li

Univariate Weibull distribution is a well-known lifetime distribution and has been widely used in reliability and survival analysis. In this paper, we introduce a new family of bivariate generalized Weibull (BGW) distributions, whose…

统计方法学 · 统计学 2024-08-29 Ashok Kumar Pathak , Mohd. Arshad , Qazi J. Azhad , Mukti Khetan , Arvind Pandey

Gradient boosting for decision tree algorithms are increasingly used in actuarial applications as they show superior predictive performance over traditional generalised linear models. Many enhancements to the first gradient boosting machine…

机器学习 · 统计学 2025-08-05 Dominik Chevalier , Marie-Pier Côté

In actuarial research, a task of particular interest and importance is to predict the loss cost for individual risks so that informative decisions are made in various insurance operations such as underwriting, ratemaking, and capital…

应用统计 · 统计学 2019-10-15 Peng Shi , Zifeng Zhao

This paper presents a hierarchical Bayesian approach to the estimation of components' reliability (survival) using a Weibull model for each of them. The proposed method can be used to estimation with general survival censored data, because…

统计方法学 · 统计学 2014-07-17 Felipe L. Bhering , Carlos A. de B. Pereira , Adriano Polpo

Generalized autoregressive moving average (GARMA) models are a class of models that was developed for extending the univariate Gaussian ARMA time series model to a flexible observation-driven model for non-Gaussian time series data. This…

应用统计 · 统计学 2017-02-07 Marinho G. Andrade , Ricardo S. Ehlers , Breno S. Andrade

We consider the joint inference of regression coefficients and the inverse covariance matrix for covariates in high-dimensional probit regression, where the predictors are both relevant to the binary response and functionally related to one…

统计方法学 · 统计学 2022-03-15 Xuan Cao , Kyoungjae Lee

We introduce an individual claims forecasting framework utilizing Bayesian mixture density networks that can be used for claims analytics tasks such as case reserving and triaging. The proposed approach enables incorporating claims…

应用统计 · 统计学 2020-03-06 Kevin Kuo

Background: In clinical research, the Bland-Altman analysis is commonly used to assess agreement of metric measurements made by two or more techniques, devices or methods. The approach can also deal with repeated measurements per subject or…

统计方法学 · 统计学 2026-04-01 Siranush Karapetyan , Achim Zeileis , Moritz Flick , Bernd Saugel , Alexander Hapfelmeier