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To combine the proportions from different studies for meta-analysis, Freeman and Tukey double arcsine tranformation can be useful for normalization and variance stabilization. The inverse function of the double arcsine transformation has…

Applications · Statistics 2018-11-20 Jong-Hyeon Jeong

When conducting a meta-analysis of standardized mean differences (SMDs), it is common to assume equal variances in the two arms of each study. This leads to Cohen's $d$ estimates for which interpretation is simple. However, this simplicity…

Methodology · Statistics 2016-03-14 Luke A. Prendergast , Robert G. Staudte

When using a finite difference method to solve an initial--boundary--value problem, the truncation error is often of lower order at a few grid points near boundaries than in the interior. Normal mode analysis is a powerful tool to analyze…

Numerical Analysis · Mathematics 2018-08-23 Siyang Wang , Anna Nissen , Gunilla Kreiss

We consider the problem of meta-analyzing two-group studies that report the median of the outcome. Often, these studies are excluded from meta-analysis because there are no well-established statistical methods to pool the difference of…

Methodology · Statistics 2022-06-22 Sean McGrath , Hojoon Sohn , Russell Steele , Andrea Benedetti

This paper studies analytic inference along two dimensions of clustering. In such setups, the commonly used approach has two drawbacks. First, the corresponding variance estimator is not necessarily positive. Second, inference is invalid in…

Econometrics · Economics 2026-02-20 Laurent Davezies , Xavier D'Haultfœuille , Yannick Guyonvarch

Doubly robust estimators (DRE) are widely used in causal inference because they yield consistent estimators of average causal effect when at least one of the nuisance models, the propensity for treatment (exposure) or the outcome…

Methodology · Statistics 2025-11-25 Hao Wu , Lucy Shao , Toni Gui , Tsungchin Wu , Zhuochao Huang , Shengjia Tu , Xin Tu , Jinyuan Liu , Tuo Lin

Q1: Why deploy N wavefront sensors on a three mirror anastigmat (TMA) and not N + 1? Q2: Why measure M Zernike coefficients and not M + 1? Q3: Why control L rigid body degrees of freedom (total) on the secondary and tertiary and not L + 1?…

Instrumentation and Methods for Astrophysics · Physics 2015-06-05 Paul L. Schechter , Rebecca Sobel Levinson

Babinet complementary patterns of a spectrally tunable metamaterial incorporating a nematic liquid crystal are normally assumed to exhibit the same tuning range. Here we show that for a hybrid, terahertz liquid crystal-metamaterial, the…

The present study investigates the performance of several statistical tests to detect publication bias in diagnostic meta-analysis by means of simulation. While bivariate models should be used to pool data from primary studies in diagnostic…

Methodology · Statistics 2022-11-24 Paul-Christian Bürkner , Philipp Doebler

Doubly truncated data are found in astronomy, econometrics and survival analysis literature. They arise when each observation is confined to an interval, i.e., only those which fall within their respective intervals are observed along with…

Methodology · Statistics 2017-01-05 Zhiliang Ying , Wen Yu , Ziqiang Zhao , Ming Zheng

Dual gradient descent combined with early stopping represents an efficient alternative to the Tikhonov variational approach when the regularizer is strongly convex. However, for many relevant applications, it is crucial to deal with…

Optimization and Control · Mathematics 2023-05-12 Vassilis Apidopoulos , Cesare Molinari , Lorenzo Rosasco , Silvia Villa

The statistical analysis of covariance matrices occurs in many important applications, e.g. in diffusion tensor imaging and longitudinal data analysis. We consider the situation where it is of interest to estimate an average covariance…

Methodology · Statistics 2010-10-20 Ian L. Dryden , Alexey Kolydenko , Diwei Zhou , Bai Li

Recovering a function from integrals over conical surfaces recently got significant interest. It is relevant for emission tomography with Compton cameras and other imaging applications. In this paper, we consider the weighted conical Radon…

Numerical Analysis · Mathematics 2018-12-05 Markus Haltmeier , Daniela Schiefeneder

The purpose of this article is to survey certain aspects of multilinear harmonic analysis related to notions of transversality. Particular emphasis will be placed on the multilinear restriction theory for the euclidean Fourier transform,…

Classical Analysis and ODEs · Mathematics 2014-05-22 Jonathan Bennett

In this paper we focus on providing sufficient conditions for some transform orders for which the quantile densities ratio is non-monotone and, therefore, the convex transform order does not hold. These results are interesting for comparing…

Probability · Mathematics 2026-01-27 A. Arriaza , F. Belzunce , C. Martínez-Riquelme

Despite the recent success in probabilistic modeling and their applications, generative models trained using traditional inference techniques struggle to adapt to new distributions, even when the target distribution may be closely related…

Machine Learning · Computer Science 2019-09-17 Mike Wu , Kristy Choi , Noah Goodman , Stefano Ermon

In many stochastic models, the observables of interest are naturally encoded in double transforms (e.g., Laplace transforms) that couple spatial and temporal variables. Notably, the double transform often provides the only analytically…

Probability · Mathematics 2026-05-21 Giampaolo Cristadoro , Gaia Pozzoli

The double exponential formula was introduced for calculating definite integrals with singular point oscillation functions and Fourier-integrals. The double exponential transformation is not only useful for numerical computations but it is…

General Mathematics · Mathematics 2017-04-25 Arezoo Khatibi , Omid Khatibi

Random effects meta-analysis is widely used for synthesizing studies under the assumption that underlying effects come from a normal distribution. However, under certain conditions the use of alternative distributions might be more…

We investigate the convergence of McKean-Vlasov diffusions in a nonconvex landscape. These processes are linked to nonlinear partial differential equations. According to our previous results, there are at least three stationary measures…

Probability · Mathematics 2013-05-27 Julian Tugaut
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