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At every phase of scientific research, scientists must decide how to allocate limited resources to pursue the research inquiries with the greatest potential. This prioritization dictates which controlled interventions are studied, awarded…

统计方法学 · 统计学 2022-10-11 Bruce A. Corliss , Yaotian Wang , Heman Shakeri , Philip E. Bourne

The goal of this paper is to provide some tools for nonparametric estimation and inference in psychological and economic experiments. We consider an experimental framework in which each of $n$subjects provides $T$ responses to a vector of…

计量经济学 · 经济学 2019-12-10 Raffaello Seri , Samuele Centorrino , Michele Bernasconi

The Bell inequalities in three and four correlations are re-derived in general forms showing that three and four data sets, respectively, identically satisfy them regardless of whether they are random, deterministic, measured, predicted, or…

量子物理 · 物理学 2020-06-24 Louis Sica

We consider Gini's mean difference statistic as an alternative to the empirical variance in the settings of finite populations where simple random samples are drawn without replacement. In particular, we discuss specific (in the finite…

统计理论 · 数学 2014-06-10 Andrius Čiginas , Dalius Pumputis

The general relationship between an arbitrary frequency distribution and the expectation value of the frequency distributions of its samples is discussed. A wide set of measurable quantities ("invariant moments") whose expectation value…

数据分析、统计与概率 · 物理学 2015-06-15 Paolo Rossi

For differences between means of continuous data from independent groups, the customary scale-free measure of effect is the standardized mean difference (SMD). To justify use of SMD, one should be reasonably confident that the group-level…

统计理论 · 数学 2025-12-10 Elena Kulinskaya , David C. Hoaglin

Previous work on causal inference has primarily focused on averages and conditional averages of treatment effects, with significantly less attention on variability and uncertainty in individual treatment responses. In this paper, we…

机器学习 · 计算机科学 2026-02-10 Liyuan Xu , Bijan Mazaheri

Judging the significance and reproducibility of quantitative research requires a good understanding of relevant uncertainties, but it is often unclear how well these have been evaluated and what they imply. Reported scientific uncertainties…

应用统计 · 统计学 2017-01-20 David C. Bailey

A comparison between the proposals made to measure Hawking-like effects and the Unruh effect in the laboratory is given at the level of their estimates. No satisfactory scheme exists as yet for their detection.

广义相对论与量子宇宙学 · 物理学 2009-10-28 H. C. Rosu

Several problems in statistics involve the combination of high-variance unbiased estimators with low-variance estimators that are only unbiased under strong assumptions. A notable example is the estimation of causal effects while combining…

统计方法学 · 统计学 2023-05-25 Michael Oberst , Alexander D'Amour , Minmin Chen , Yuyan Wang , David Sontag , Steve Yadlowsky

The participants in randomized trials and other studies used for causal inference are often not representative of the populations seen by clinical decision-makers. To account for differences between populations, researchers may consider…

统计方法学 · 统计学 2022-07-12 Anders Huitfeldt , Sonja A. Swanson , Mats Julius Stensrud , Etsuji Suzuki

In many social, behavioral, and biomedical sciences, treatment effect estimation is a crucial step in understanding the impact of an intervention, policy, or treatment. In recent years, an increasing emphasis has been placed on…

统计方法学 · 统计学 2024-10-10 Xinhai Zhang , Xingye Qiao

The problem of estimating, from a random sample of points, the dimension of a compact subset $S$ of the Euclidean space is considered. The emphasis is put on consistency results in the statistical sense. That is, statements of convergence…

统计理论 · 数学 2025-07-08 Alejandro Cholaquidis , Antonio Cuevas , Beatriz Pateiro-López

We consider the problem of testing means from samples of two populations for which the labels are not defined with certainty. We show that this problem is connected to another one that is testing expected values of components of…

统计理论 · 数学 2012-05-18 Florent Autin , Christophe Pouet

A new class of statistical deformable models is introduced to study high-dimensional curves or images. In addition to the standard measurement error term, these deformable models include an extra error term modeling the individual…

统计理论 · 数学 2011-08-24 Jérémie Bigot , Benjamin Charlier

While the slogan "no measurement without disturbance" has established itself under the name Heisenberg effect in the consciousness of the scientifically interested public, a precise statement of this fundamental feature of the quantum world…

量子物理 · 物理学 2013-10-24 Paul Busch , Pekka Lahti , Reinhard F. Werner

This paper generalizes beta divergence beyond its classical form associated with power variance functions of Tweedie models. Generalized form is represented by a compact definite integral as a function of variance function of the…

机器学习 · 统计学 2013-06-19 Y. Kenan Yilmaz

How should we evaluate the effect of a policy on the likelihood of an undesirable event, such as conflict? The significance test has three limitations. First, relying on statistical significance misses the fact that uncertainty is a…

统计方法学 · 统计学 2022-05-03 Akisato Suzuki

A fundamental limitation of causal inference in observational studies is that perceived evidence for an effect might instead be explained by factors not accounted for in the primary analysis. Methods for assessing the sensitivity of a…

统计方法学 · 统计学 2018-09-14 Colin B. Fogarty

We review the alternative proposals introduced recently in the literature to update the standard formula to estimate the uncertainty on the mean of repeated measurements, and we compare their performances on synthetic examples with normal…

数据分析、统计与概率 · 物理学 2022-09-13 Pascal Pernot , Jean-Paul Berthet