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A method is discussed that allows combining sets of differential or inclusive measurements. It is assumed that at least one measurement was obtained with simultaneously fitting a set of nuisance parameters, representing sources of…

数据分析、统计与概率 · 物理学 2018-01-09 Jan Kieseler

To date, testing interactions in high dimensions has been a challenging task. Existing methods often have issues with sensitivity to modeling assumptions and heavily asymptotic nominal p-values. To help alleviate these issues, we propose a…

机器学习 · 统计学 2012-06-29 Noah Simon , Robert Tibshirani

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

We provide an analytical argument for understanding the likely nature of parameter shifts between those coming from an analysis of a dataset and from a subset of that dataset, assuming differences are down to noise and any intrinsic…

天体物理仪器与方法 · 物理学 2020-10-28 Steven Gratton , Anthony Challinor

On the basis of an analysis of previous research, we present a generalized approach for measuring the difference of plans with an exemplary application to machine scheduling. Our work is motivated by the need for such measures, which are…

人工智能 · 计算机科学 2015-03-17 Martin Josef Geiger

One limitation on the performance of optical traps is the noise inherently present in every setup. Therefore, it is the desire of most experimentalists to minimize and possibly eliminate noise from their optical trapping experiments. A step…

数据分析、统计与概率 · 物理学 2009-09-01 Fabian Czerwinski , Andrew C. Richardson , Christine Selhuber-Unkel , Lene B. Oddershede

Evaluating blocked randomized experiments from a potential outcomes perspective has two primary branches of work. The first focuses on larger blocks, with multiple treatment and control units in each block. The second focuses on matched…

统计方法学 · 统计学 2024-05-31 Nicole E. Pashley , Luke W. Miratrix

In this paper, we study a class of two sample test statistics based on inter-point distances in the high dimensional and low sample size setting. Our test statistics include the well-known energy distance and maximum mean discrepancy with…

统计方法学 · 统计学 2020-04-13 Changbo Zhu , Xiaofeng Shao

The Feynman Path Integral formalism has long been used for calculations of probability amplitudes. Over the last few years, it has been extensively used to theoretically demonstrate that the usual application of the superposition principle…

量子物理 · 物理学 2018-07-20 G. Rengaraj , U. Prathwiraj , Surya Narayan Sahoo , R. Somashekhar , Urbasi Sinha

Measuring uncertainty is a promising technique for detecting adversarial examples, crafted inputs on which the model predicts an incorrect class with high confidence. But many measures of uncertainty exist, including predictive en- tropy…

机器学习 · 统计学 2018-03-26 Lewis Smith , Yarin Gal

Given a finite set of European call option prices on a single underlying, we want to know when there is a market model which is consistent with these prices. In contrast to previous studies, we allow models where the underlying trades at a…

数理金融 · 定量金融 2019-07-17 Stefan Gerhold , I. Cetin Gülüm

If several independent algorithms for a computer-calculated quantity exist, then one can expect their results (which differ because of numerical errors) to follow approximately Gaussian distribution. The mean of this distribution,…

综合数学 · 数学 2017-07-03 Andrej Liptaj

Instrumental variable methods can identify causal effects even when the treatment and outcome are confounded. We study the problem of imperfect measurements of the binary instrumental variable, treatment or outcome. We first consider…

统计方法学 · 统计学 2019-06-06 Zhichao Jiang , Peng Ding

In this note, the distributed consensus corrupted by relative-state-dependent measurement noises is considered. Each agent can measure or receive its neighbors' state information with random noises, whose intensity is a vector function of…

系统与控制 · 计算机科学 2014-01-15 Tao Li , Fuke Wu , Ji-Feng Zhang

A fundamental task in statistical learning is quantifying the joint dependence or association between two continuous random variables. We introduce a novel, fully non-parametric measure that assesses the degree of association between…

Distance correlation is a measure of dependence between two paired random vectors or matrices of arbitrary, not necessarily equal, dimensions. Unlike Pearson correlation, the population distance correlation coefficient is zero if and only…

统计方法学 · 统计学 2025-06-19 Kontemeniotis Nikolaos , Vargiakakis Rafail , Tsagris Michail

The maximum mean discrepancy (MMD) is a kernel-based distance between probability distributions useful in many applications (Gretton et al. 2012), bearing a simple estimator with pleasing computational and statistical properties. Being able…

机器学习 · 统计学 2022-11-16 Danica J. Sutherland , Namrata Deka

When observations are independent, formulae and software are readily available to plan and design studies of appropriate size and power to detect important associations. When observations are correlated or clustered, results obtained from…

应用统计 · 统计学 2021-03-15 David M. Thompson

Formal verification provides assurances that a probabilistic system satisfies its specification--conditioned on the system model being aligned with reality. We propose alignment monitoring to watch that this assumption is justified. We…

计算机科学中的逻辑 · 计算机科学 2025-08-04 Thomas A. Henzinger , Konstantin Kueffner , Vasu Singh , I Sun

Various statistical tests have been developed for testing the equality of means in matched pairs with missing values. However, most existing methods are commonly based on certain distributional assumptions such as normality, 0-symmetry or…

统计理论 · 数学 2016-03-02 Lubna Amro , Markus Pauly
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