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The probability of default (PD) estimation is an important process for financial institutions. The difficulty of the estimation depends on the correlations between borrowers. In this paper, we introduce a hierarchical Bayesian estimation…

Statistical Finance · Quantitative Finance 2020-05-19 Masato Hisakado , Shintaro Mori

Randomized controlled trials (RCTs) often suffer from limited inferential efficiency in estimating treatment effects due to their small sample sizes. In recent years, incorporating external controls (ECs) has gained increasing attention as…

Methodology · Statistics 2026-04-16 Qinwei Yang , Jingyi Li , Peng Wu , Shu Yang

Bayesian estimation is increasingly popular for performing model based inference to support policymaking. These data are often collected from surveys under informative sampling designs where subject inclusion probabilities are designed to…

Methodology · Statistics 2018-07-13 Luis G. Leon-Novelo , Terrance D. Savitsky

Research in oncology has changed the focus from histological properties of tumors in a specific organ to a specific genomic aberration potentially shared by multiple cancer types. This motivates the basket trial, which assesses the efficacy…

Applications · Statistics 2020-02-11 Jin Jin , Marie-Karelle Riviere , Xiaodong Luo , Yingwen Dong

The power prior is a popular tool for constructing informative prior distributions based on historical data. The method consists of raising the likelihood to a discounting factor in order to control the amount of information borrowed from…

Applications · Statistics 2022-03-29 Luiz Max Carvalho , Joseph G. Ibrahim

The integration of external data using Bayesian mixture priors has become a powerful approach in clinical trials, offering significant potential to improve trial efficiency. Despite their strengths in analytical tractability and practical…

Methodology · Statistics 2025-10-07 Shouhao Zhou , Qiuxin Gao , Chenqi Fu , Yanxun Xu

Medical prediction applications often need to deal with small sample sizes compared to the number of covariates. Such data pose problems for prediction and variable selection, especially when the covariate-response relationship is…

Machine Learning · Statistics 2024-11-05 Jeroen M. Goedhart , Thomas Klausch , Jurriaan Janssen , Mark A. van de Wiel

Propensity score plays a central role in causal inference, but its use is not limited to causal comparisons. As a covariate balancing tool, propensity score can be used for controlled descriptive comparisons between groups whose memberships…

Methodology · Statistics 2022-09-09 Fan Li , Fan Li

Basket trials in oncology enroll multiple patients with cancer harboring identical gene alterations and evaluate their response to targeted therapies across cancer types. Several existing methods have extended a Bayesian hierarchical model…

Methodology · Statistics 2024-12-17 Ryo Kitabayashi , Hiroyuki Sato , Akihiro Hirakawa

The incorporation of "real-world data" to supplement the analysis of trials and improve decision-making has spurred the development of statistical techniques to account for introduced confounding. Recently, "hybrid" methods have been…

Conditional power calculations are frequently used to guide the decision whether or not to stop a trial for futility or to modify planned sample size. These ignore the information in short-term endpoints and baseline covariates, and thereby…

Methodology · Statistics 2019-04-11 Kelly Van Lancker , An Vandebosch , Stijn Vansteelandt

Although randomized controlled trials (RCTs) are a cornerstone of comparative effectiveness, they typically have much smaller sample size than observational studies because of financial and ethical considerations. Therefore there is…

Methodology · Statistics 2023-11-16 Lauren D. Liao , Emilie Højbjerre-Frandsen , Alan E. Hubbard , Alejandro Schuler

Nonresponse weighting adjustment using propensity score is a popular method for handling unit nonresponse. However, including all available auxiliary variables into the propensity model can lead to inefficient and inconsistent estimation,…

Methodology · Statistics 2018-07-31 Hejian Sang , Gyuhyeong Goh , Jae Kwang Kim

Prediction models can improve efficiency by automating decisions such as the approval of loan applications. However, they may inherit bias against protected groups from the data they are trained on. This paper adds counterfactual…

Machine Learning · Computer Science 2024-05-03 Nicholas Tenev

We introduce a Bayesian prior distribution, the Logit-Normal continuous analogue of the spike-and-slab (LN-CASS), which enables flexible parameter estimation and variable/model selection in a variety of settings. We demonstrate its use and…

Applications · Statistics 2018-10-04 William Thomson , Sara Jabbari , Angela Taylor , Wiebke Arlt , David Smith

Hybrid randomized controlled trials (hybrid RCTs) integrate external control data, such as historical or concurrent data, with data from randomized trials. While numerous frequentist and Bayesian methods, such as the test-then-pool and…

Methodology · Statistics 2025-10-07 Han Chang Chiam , Franz König , Martin Posch

Multi-regional clinical trials (MRCTs) are central to global drug development, enabling evaluation of treatment effects across diverse populations. A key challenge is valid and efficient inference for a region-specific estimand when the…

Methodology · Statistics 2026-02-04 Chenxi Li , Ke Zhu , Shu Yang , Xiaofei Wang

We propose a dynamic allocation procedure that increases power and efficiency when measuring an average treatment effect in sequential randomized trials exploiting some subjects' previous assessed responses. Subjects arrive sequentially and…

Methodology · Statistics 2021-06-03 Adam Kapelner , Abba Krieger

Shape restrictions such as monotonicity on functions often arise naturally in statistical modeling. We consider a Bayesian approach to the problem of estimation of a monotone regression function and testing for monotonicity. We construct a…

Statistics Theory · Mathematics 2020-08-05 Moumita Chakraborty , Subhashis Ghosal

We study variable selection (also called support recovery) in high-dimensional sparse linear regression when one has external information on which variables are likely to be associated with the response. Consistent recovery is only possible…

Statistics Theory · Mathematics 2026-02-16 Paul Rognon-Vael , David Rossell , Piotr Zwiernik
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