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This note studies optimal experimental design under partial compliance when experimenters can screen participants prior to randomization. Theoretical results show that retaining all compliers and screening out all non-compliers achieves…

Econometrics · Economics 2025-12-11 Christopher Carter , Adeline Delavande , Mario Fiorini , Peter Siminski , Patrick Vu

In the measurement-constrained problems, despite the availability of large datasets, we may be only affordable to observe the labels on a small portion of the large dataset. This poses a critical question that which data points are most…

Statistics Theory · Mathematics 2024-11-22 Jingyi Duan , Yang Ning

Many sequential decision settings in healthcare feature funnel structures characterized by a series of stages, such as screenings or evaluations, where the number of patients who advance to each stage progressively decreases and decisions…

Machine Learning · Computer Science 2025-11-25 Shuvom Sadhuka , Sophia Lin , Bonnie Berger , Emma Pierson

Two-stage randomization is a powerful design for estimating treatment effects in the presence of interference; that is, when one individual's treatment assignment affects another individual's outcomes. Our motivating example is a two-stage…

Applications · Statistics 2017-05-02 Guillaume Basse , Avi Feller

We endeavour to estimate numerous multi-dimensional means of various probability distributions on a common space based on independent samples. Our approach involves forming estimators through convex combinations of empirical means derived…

Machine Learning · Statistics 2025-03-11 Gilles Blanchard , Jean-Baptiste Fermanian , Hannah Marienwald

We investigate the finite sample performance of sample splitting, cross-fitting and averaging for the estimation of the conditional average treatment effect. Recently proposed methods, so-called meta-learners, make use of machine learning…

Methodology · Statistics 2020-08-27 Daniel Jacob

There is growing interest in platform trials that allow for adding of new treatment arms as the trial progresses as well as being able to stop treatments part way through the trial for either lack of benefit/futility or for superiority. In…

Methodology · Statistics 2021-12-14 Peter Greenstreet , Thomas Jaki , Alun Bedding , Chris Harbron , Pavel Mozgunov

We obtain a reliability acceptance sampling plan for independent competing risk data under interval censoring schemes using the Bayesian approach. At first, the Bayesian reliability acceptance sampling plan is obtained where the decision…

Applications · Statistics 2025-10-21 Biswabrata Pradhan , Rathin Das

In small sample studies with binary outcome data, use of a normal approximation for hypothesis testing can lead to substantial inflation of the type-I error-rate. Consequently, exact statistical methods are necessitated, and accordingly,…

Methodology · Statistics 2017-11-29 Michael Grayling , Adrian Mander , James Wason

Identifying individual mediators is a central goal of high-dimensional mediation analysis, yet pervasive dependence among mediators can invalidate standard debiased inference and lead to substantial false discovery rate (FDR) inflation. We…

Methodology · Statistics 2026-02-19 Chen Shi , Zhao Chen , Christina Dan Wang

Modern cell-perturbation experiments expose cells to panels of hundreds of stimuli, such as cytokines or CRISPR guides that perform gene knockouts. These experiments are designed to investigate whether a particular gene is upregulated or…

Applications · Statistics 2023-07-24 Jackson Loper , Noam Solomon , Jeffrey Regier

Umbrella sampling efficiently yields equilibrium averages that depend on exploring rare states of a model by biasing simulations to windows of coordinate values and then combining the resulting data with physical weighting. Here, we…

Statistical Mechanics · Physics 2016-09-21 Erik Thiede , Brian Van Koten , Jonathan Weare , Aaron R. Dinner

The unequal representation of different groups in a sample population can lead to discrimination of minority groups when machine learning models make automated decisions. To address these issues, fairness-aware machine learning jointly…

Machine Learning · Computer Science 2023-11-22 Xuan Zhao , Simone Fabbrizzi , Paula Reyero Lobo , Siamak Ghodsi , Klaus Broelemann , Steffen Staab , Gjergji Kasneci

A hybrid censoring scheme is a mixture of Type-I and Type-II censoring schemes. We study the estimation of parameters of weighted exponential distribution based on Type-II hybrid censored data. By applying EM algorithm, maximum likelihood…

Statistics Theory · Mathematics 2012-03-02 Akram Kohansal , Saeid Rezakhah

We consider the optimal decision-making problem in a primary sample of interest with multiple auxiliary sources available. The outcome of interest is limited in the sense that it is only observed in the primary sample. In reality, such…

Methodology · Statistics 2022-09-23 Hengrui Cai , Wenbin Lu , Rui Song

Threshold selection is a critical issue for extreme value analysis with threshold-based approaches. Under suitable conditions, exceedances over a high threshold have been shown to follow the generalized Pareto distribution (GPD)…

Methodology · Statistics 2018-06-13 Brian Bader , Jun Yan , Xuebin Zhang

One of the most significant challenges in the field of deep learning and medical image segmentation is to determine an appropriate threshold for classifying each pixel. This threshold is a value above which the model's output is considered…

Image and Video Processing · Electrical Eng. & Systems 2023-06-28 Ali Fayzi , Mohammad Fayzi , Mostafa Forotan

The mean shift iterative algorithm was proposed in 2006, for using the entropy as a stopping criterion. From then on, a theoretical base has been developed and a group of applications has been carried out using this algorithm. This paper…

Computer Vision and Pattern Recognition · Computer Science 2013-11-11 Roberto Rodríguez , Esley Torres , Yasel Garcés , Osvaldo Pereira , Humberto Sossa

We consider the problem of chance constrained optimization where it is sought to optimize a function and satisfy constraints, both of which are affected by uncertainties. The real world declinations of this problem are particularly…

In observational studies of treatment effects, estimates may be biased by unmeasured confounders, which can potentially affect the validity of the results. Understanding sensitivity to such biases helps assess how unmeasured confounding…

Methodology · Statistics 2026-02-02 Qishuo Yin , Dylan S. Small
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