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Statistical significance testing of differences in values of metrics like recall, precision and balanced F-score is a necessary part of empirical natural language processing. Unfortunately, we find in a set of experiments that many commonly…

Computation and Language · Computer Science 2007-05-23 Alexander Yeh

In sequential anytime-valid inference, any admissible procedure must be based on e-processes: generalizations of test martingales that quantify the accumulated evidence against a composite null hypothesis at any stopping time. This paper…

Methodology · Statistics 2026-03-17 Yo Joong Choe , Aaditya Ramdas

In this letter, we address the problem of developing quantum state tomography (QST) methods that remain valid at any time during a sequence of measurements. Specifically, the aim is to provide a rigorous quantification of the uncertainty…

Information Theory · Computer Science 2026-05-18 Aldo Cumitini , Luca Barletta , Osvaldo Simeone

In the past two decades, AB testing has proliferated to optimise products in digital domains. Traditional AB tests use fixed-horizon testing, determining the sample size of the experiment and continuing until the experiment has concluded.…

Methodology · Statistics 2023-11-01 Daniel Beasley

Computable phenotypes are used to characterize patients and identify outcomes in studies conducted using healthcare claims and electronic health record data. Chart review studies establish reference labels against which computable…

Applications · Statistics 2025-03-11 Georg Hahn , Sebastian Schneeweiss , Shirley Wang

Null Hypothesis Significance Testing is the \textit{de facto} tool for assessing effectiveness differences between Information Retrieval systems. Researchers use statistical tests to check whether those differences will generalise to online…

Information Retrieval · Computer Science 2025-07-23 David Otero , Javier Parapar , Álvaro Barreiro

A proof procedure, in the spirit of the sequent calculus, is proposed to check the validity of entailments between Separation Logic formulas combining inductively defined predicates denoted structures of bounded tree width and theory…

Logic in Computer Science · Computer Science 2022-06-23 Mnacho Echenim , Nicolas Peltier

We study a controlled version of the Bayesian sequential testing problem for the drift of a Wiener process, in which the observer exercises discretion over the signal intensity. This control incurs a running cost that reflects the resource…

Optimization and Control · Mathematics 2025-09-24 Steven Campbell , Georgy Gaitsgori , Richard Groenewald

External validity is often questionable in empirical research, especially in randomized experiments due to the trade-off between internal validity and external validity. To quantify the robustness of external validity, one must first…

Methodology · Statistics 2022-06-20 Tenglong Li

This paper provides a general framework for testing instrument validity in heterogeneous causal effect models. The generalization includes the cases where the treatment can be multivalued ordered or unordered. Based on a series of testable…

Econometrics · Economics 2023-10-11 Zhenting Sun

We consider the problem of conditional independence testing: given a response Y and covariates (X,Z), we test the null hypothesis that Y is independent of X given Z. The conditional randomization test (CRT) was recently proposed as a way to…

Methodology · Statistics 2021-06-07 Molei Liu , Eugene Katsevich , Lucas Janson , Aaditya Ramdas

We describe group sequential tests which efficiently incorporate information from multiple endpoints allowing for early stopping at pre-planned interim analyses. We formulate a testing procedure where several outcomes are examined, and…

Methodology · Statistics 2024-05-09 Abigail J. Burdon , Thomas Jaki

We propose a test of the conditional independence of random variables $X$ and~$Y$ given~$Z$ under the additional assumption that $X$ is stochastically nondecreasing in~$Z$. The well-documented hardness of testing conditional independence…

Methodology · Statistics 2026-04-24 Rohan Hore , Jake A. Soloff , Rina Foygel Barber , Richard J. Samworth

An important aspect of multiple hypothesis testing is controlling the significance level, or the level of Type I error. When the test statistics are not independent it can be particularly challenging to deal with this problem, without…

Statistics Theory · Mathematics 2009-03-04 Sandy Clarke , Peter Hall

We consider the problem of testing whether pairs of univariate random variables are associated. Few tests of independence exist that are consistent against all dependent alternatives and are distribution free. We propose novel tests that…

Methodology · Statistics 2014-12-09 Ruth Heller , Yair Heller , Shachar Kaufman , Malka Gorfine

A novel method for sequential outlier detection in non-stationary time series is proposed. The method tests the null hypothesis of ``no outlier'' at each time point, addressing the multiple testing problem by bounding the error probability…

Statistics Theory · Mathematics 2025-02-26 Florian Heinrichs , Patrick Bastian , Holger Dette

Compared to p-values, e-values provably guarantee safe, valid inference. If the goal is to test multiple hypotheses simultaneously, one can construct e-values for each individual test and then use the recently developed e-BH procedure to…

Methodology · Statistics 2024-12-03 Neil Dey , Ryan Martin , Jonathan P. Williams

Assume that an estimator is asymptotically normal for a target parameter under some conditions. Suppose also that one can test these conditions, and one conducts inference for the target only if the pre-test is not rejected. Does such…

Econometrics · Economics 2026-04-21 Clément de Chaisemartin , Xavier D'Haultfœuille

Prediction, where observed data is used to quantify uncertainty about a future observation, is a fundamental problem in statistics. Prediction sets with coverage probability guarantees are a common solution, but these do not provide…

Statistics Theory · Mathematics 2022-11-22 Leonardo Cella , Ryan Martin

In this work, we revisit the problem of active sequential prediction-powered mean estimation, where at each round one must decide the query probability of the ground-truth label upon observing the covariates of a sample. Furthermore, if the…

Machine Learning · Statistics 2026-04-21 Maria-Eleni Sfyraki , Jun-Kun Wang