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To perform inference after model selection, we propose controlling the selective type I error; i.e., the error rate of a test given that it was performed. By doing so, we recover long-run frequency properties among selected hypotheses…

Statistics Theory · Mathematics 2017-04-19 William Fithian , Dennis Sun , Jonathan Taylor

Considering the problem of risk-sensitive parameter estimation, we propose a fairly wide family of lower bounds on the exponential moments of the quadratic error, both in the Bayesian and the non--Bayesian regime. This family of bounds,…

Information Theory · Computer Science 2017-03-02 Neri Merhav

Obtaining high-quality labels for large datasets is expensive, requiring massive annotations from human experts. While AI models offer a cost-effective alternative by predicting labels, their label quality is compromised by the unavoidable…

Machine Learning · Computer Science 2026-02-17 Huipeng Huang , Wenbo Liao , Huajun Xi , Hao Zeng , Mengchen Zhao , Hongxin Wei

Labelling data is a major practical bottleneck in training and testing classifiers. Given a collection of unlabelled data points, we address how to select which subset to label to best estimate test metrics such as accuracy, $F_1$ score or…

Machine Learning · Computer Science 2021-09-27 Emine Yilmaz , Peter Hayes , Raza Habib , Jordan Burgess , David Barber

The graph based approach to multiple testing is an intuitive method that enables a study team to represent clearly, through a directed graph, its priorities for hierarchical testing of multiple hypotheses, and for propagating the available…

Methodology · Statistics 2025-01-07 Cyrus Mehta , Ajoy Mukhopadhyay , Martin Posch

We consider the structural change in a class of discrete valued time series that the conditional distribution follows a one-parameter exponential family. We propose a change-point test based on the maximum likelihood estimator of the…

Statistics Theory · Mathematics 2016-03-01 Mamadou Lamine Diop , William Kengne

A common concern with Bayesian methodology in scientific contexts is that inferences can be heavily influenced by subjective biases. As presented here, there are two types of bias for some quantity of interest: bias against and bias in…

Statistics Theory · Mathematics 2019-03-06 Michael Evans , Yang Guo

Adaptive clinical trials rely on interim analyses, flexible stopping, and data-dependent design modifications that complicate statistical guarantees when fixed-horizon test statistics are repeatedly inspected or reused after adaptations.…

Methodology · Statistics 2026-02-09 Alexandra Sokolova , Vadim Sokolov

When planning a clinical trial for a time-to-event endpoint, we require an estimated effect size and need to consider the type of effect. Usually, an effect of proportional hazards is assumed with the hazard ratio as the corresponding…

Methodology · Statistics 2026-03-02 Moritz Fabian Danzer , Ina Dormuth

Weak signal identification and inference are very important in the area of penalized model selection, yet they are under-developed and not well-studied. Existing inference procedures for penalized estimators are mainly focused on strong…

Methodology · Statistics 2016-11-16 Peibei Shi , Annie Qu

Compressed sensing typically deals with the estimation of a system input from its noise-corrupted linear measurements, where the number of measurements is smaller than the number of input components. The performance of the estimation…

Information Theory · Computer Science 2016-11-17 Jin Tan , Danielle Carmon , Dror Baron

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

In order to estimate causal effects in a randomized experiment where spillovers are suspected to occur, analysts must posit a model of interference. The most popular class of interference models are those based on exposure mappings. In…

Statistics Theory · Mathematics 2026-05-12 Chao Gao , Christopher Harshaw , Fredrik Sävje , Yitan Wang

Anomaly detection aims at detecting unexpected behaviours in the data. Because anomaly detection is usually an unsupervised task, traditional anomaly detectors learn a decision boundary by employing heuristics based on intuitions, which are…

Machine Learning · Computer Science 2023-10-19 Lorenzo Perini , Jesse Davis

In preliminary analysis of control charts, one may encounter multiple shifts and/or outliers especially with a large number of observations. The following paper addresses this problem. A statistical model for detecting and estimating…

Applications · Statistics 2014-03-05 Issac Shams , Saeede Ajorlou , Kai Yang

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

Annotated datasets are an essential ingredient to train, evaluate, compare and productionalize supervised machine learning models. It is therefore imperative that annotations are of high quality. For their creation, good quality management…

Machine Learning · Computer Science 2024-05-30 Jan-Christoph Klie , Juan Haladjian , Marc Kirchner , Rahul Nair

Threshold selection plays a key role for various aspects of statistical inference of rare events. Most classical approaches tackling this problem for heavy-tailed distributions crucially depend on tuning parameters or critical values to be…

Methodology · Statistics 2019-03-07 Laura Fee Schneider , Andrea Krajina , Tatyana Krivobokova

When interpreting A/B tests, we typically focus only on the statistically significant results and take them by face value. This practice, termed post-selection inference in the statistical literature, may negatively affect both point…

Applications · Statistics 2021-06-01 Alex Deng , Yicheng Li , Jiannan Lu , Vivek Ramamurthy

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
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