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Multiple hypothesis testing is a fundamental problem in high dimensional inference, with wide applications in many scientific fields. In genome-wide association studies, tens of thousands of tests are performed simultaneously to find if any…

Methodology · Statistics 2011-11-16 Jianqing Fan , Xu Han , Weijie Gu

The CFR framework has been a powerful tool for solving large-scale extensive-form games in practice. However, the theoretical rate at which past CFR-based algorithms converge to the Nash equilibrium is on the order of $O(T^{-1/2})$, where…

Computer Science and Game Theory · Computer Science 2019-02-14 Gabriele Farina , Christian Kroer , Noam Brown , Tuomas Sandholm

When testing multiple hypothesis in a survey --e.g. many different source locations, template waveforms, and so on-- the final result consists in a set of confidence intervals, each one at a desired confidence level. But the probability…

General Relativity and Quantum Cosmology · Physics 2009-11-11 L. Baggio , G. A. Prodi

The inflated beta regression model aims to enable the modeling of responses in the intervals $(0,1]$, $[0,1)$ or $[0,1]$. In this model, hypothesis testing is often performed based on the likelihood ratio statistic. The critical values are…

Methodology · Statistics 2017-02-03 Laís H. Loose , Fábio M. Bayer , Tarciana L. Pereira

The higher criticism of a family of tests starts with the individual uncorrected p-values of each test. It then requires a procedure for deciding whether the collection of p-values indicates the presence of a real effect and if possible…

It is quite common in modern research, for a researcher to test many hypotheses. The statistical (frequentist) hypothesis testing framework, does not scale with the number of hypotheses in the sense that naively performing many hypothesis…

Methodology · Statistics 2013-06-26 Jonathan Rosenblatt

The influential claim that most published results are false raised concerns about the trustworthiness and integrity of science. Since then, there have been numerous attempts to examine the rate of false-positive results that have failed to…

Applications · Statistics 2023-09-19 Ulrich Schimmack , František Bartoš

The concept of intrinsic credibility has been recently introduced to check the credibility of "out of the blue" findings without any prior support. A significant result is deemed intrinsically credible if it is in conflict with a sceptical…

Methodology · Statistics 2022-11-08 Leonhard Held

This paper considers inference when there is a single treated cluster and a fixed number of control clusters, a setting that is common in empirical work, especially in difference-in-differences designs. We use the t-statistic and develop…

Econometrics · Economics 2025-11-11 Chun Pong Lau , Xinran Li

A cornerstone of machine learning evaluation is the (often hidden) assumption that model and human responses are reliable enough to evaluate models against unitary, authoritative, ``gold standard'' data, via simple metrics such as accuracy,…

Machine Learning · Computer Science 2026-01-30 Christopher Homan , Flip Korn , Deepak Pandita , Chris Welty

In the context of multiple hypotheses testing, the proportion $\pi_0$ of true null hypotheses in the pool of hypotheses to test often plays a crucial role, although it is generally unknown a priori. A testing procedure using an implicit or…

Statistics Theory · Mathematics 2009-02-17 Gilles Blanchard , Etienne Roquain

The false discovery rate (FDR) measures the share of false positives in a set of statistical tests. I develop simple and intuitive bounds on the FDR in cross-sectional predictability publications. The simplest bound requires just a few…

General Finance · Quantitative Finance 2025-11-20 Andrew Y. Chen

Diagnostic tests are almost never perfect. Studies quantifying their performance use knowledge of the true health status, measured with a reference diagnostic test. Researchers commonly assume that the reference test is perfect, which is…

Applications · Statistics 2024-08-20 Filip Obradović

We revisit the finite-sample behavior of single-variable just-identified instrumental variables (just-ID IV) estimators, arguing that in most microeconometric applications, the usual inference strategies are likely reliable. Three…

Econometrics · Economics 2024-12-31 Joshua Angrist , Michal Kolesár

Instrumental variable (IV) strategies are widely used in political science to establish causal relationships. However, the identifying assumptions required by an IV design are demanding, and it remains challenging for researchers to assess…

Econometrics · Economics 2023-11-08 Apoorva Lal , Mac Lockhart , Yiqing Xu , Ziwen Zu

The progression-free survival ratio (PFSr) is a widely used measure in personalized oncology trials. It evaluates the effectiveness of treatment by comparing two consecutive event times - one under standard therapy and one under an…

Methodology · Statistics 2025-12-23 Merle Munko , Simon Mack , Marc Ditzhaus , Stefan Fröhling , Dennis Dobler , Dominic Edelmann

Fast Fourier Transform (FFT) relies on the HRV frequency-domain analysis techniques. It requires re-sampling of the inherently unevenly sampled heartbeat time-series (RR tachogram) to produce an evenly sampled time series of the heartbeat.…

Medical Physics · Physics 2022-08-04 Amin Gasmi

Inequalities are key tools to prove FDR control of a multiple test. The present paper studies upper and lower bounds for the FDR under various dependence structures of p-values, namely independence, reverse martingale dependence and…

Statistics Theory · Mathematics 2015-02-18 Philipp Heesen , Arnold Janssen

The quantum Fourier transform (QFT) is a key primitive for quantum computing that is typically used as a subroutine within a larger computation, for instance for phase estimation. As such, we may have little control over the state that is…

Quantum Physics · Physics 2022-12-14 Noah Linden , Ronald de Wolf

Multiple hypothesis testing is a significant problem in nearly all neuroimaging studies. In order to correct for this phenomena, we require a reliable estimate of the Family-Wise Error Rate (FWER). The well known Bonferroni correction…

Computation · Statistics 2015-02-17 Chris Hinrichs , Vamsi K Ithapu , Qinyuan Sun , Sterling C Johnson , Vikas Singh