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We present a new statistical test that examines the consistency of the tails of two empirical distributions at multiple thresholds. Such distributions are often encountered in counting experiments, in physics and elsewhere, where the…

数据分析、统计与概率 · 物理学 2018-11-06 Ryan Lynch , Salvatore Vitale , Erik Katsavounidis

Despite the versatility of generalized linear mixed models in handling complex experimental designs, they often suffer from misspecification and convergence problems. This makes inference on the values of coefficients problematic. To…

统计方法学 · 统计学 2025-03-31 Angela Andreella , Jelle Goeman , Jesse Hemerik , Livio Finos

A number of applications require two-sample testing on ranked preference data. For instance, in crowdsourcing, there is a long-standing question of whether pairwise comparison data provided by people is distributed similar to…

机器学习 · 统计学 2020-11-20 Charvi Rastogi , Sivaraman Balakrishnan , Nihar B. Shah , Aarti Singh

Most statistical models for pairwise comparisons, including the Bradley-Terry (BT) and Thurstone models and many extensions, make a relatively strong assumption of stochastic transitivity. This assumption imposes the existence of an…

机器学习 · 统计学 2026-03-12 Sze Ming Lee , Yunxiao Chen

Stochastic comparisons of series and parallel systems are important in many areas of engineering, operations research and reliability analysis. These comparisons allow for the evaluation of the performance and reliability of systems under…

统计理论 · 数学 2025-06-09 CM Revathi , Rajesh Moharana , Raju Bhakta

Consistently checking the statistical significance of experimental results is the first mandatory step towards reproducible science. This paper presents a hitchhiker's guide to rigorous comparisons of reinforcement learning algorithms.…

统计方法学 · 统计学 2022-08-30 Cédric Colas , Olivier Sigaud , Pierre-Yves Oudeyer

The energy test is a powerful binning-free, multi-dimensional and distribution-free tool that can be applied to compare a measurement to a given prediction (goodness-of-fit) or to check whether two data samples originate from the same…

数据分析、统计与概率 · 物理学 2018-04-30 G. Zech

This paper develops inference methods for ratios of deterministic trend slopes in systems of pairs of time series. Hypotheses based on linear cross-equation restrictions are considered with particular interest in tests that trend ratios are…

计量经济学 · 经济学 2026-03-02 Timothy J. Vogelsang

In software testing, the large size of the input domain makes exhaustively testing the inputs a daunting and often impossible task. Pair-wise testing is a popular approach to combinatorial testing problems. This paper reviews Pair-wise…

软件工程 · 计算机科学 2016-06-02 Jimi Sanchez

Analogues of the frequentist chi-square and F tests are proposed for testing goodness-of-fit and consistency for Bayesian models. Simple examples exhibit these tests' detection of inconsistency between consecutive experiments with identical…

天体物理仪器与方法 · 物理学 2016-03-16 L. B. Lucy

We introduce a new test for detection of power-law cross-correlations among a pair of time series - the rescaled covariance test. The test is based on a power-law divergence of the covariance of the partial sums of the long-range…

统计金融 · 定量金融 2013-10-10 Ladislav Kristoufek

Kendall's tau is frequently used to meta-evaluate how well machine translation (MT) evaluation metrics score individual translations. Its focus on pairwise score comparisons is intuitive but raises the question of how ties should be…

计算与语言 · 计算机科学 2023-10-18 Daniel Deutsch , George Foster , Markus Freitag

In many transcriptomic studies, the correlation of genes might fluctuate with quantitative factors such as genetic ancestry. We propose a method that models the covariance between two variables to vary against a continuous covariate. For…

统计方法学 · 统计学 2021-05-03 Tae Hyun Kim , Dan Nicolae

There are many different proposed procedures for sample size planning for the Wilcoxon-Mann-Whitney test at given type-I and type-II error rates $\alpha$ and $\beta$, respectively. Most methods assume very specific models or types of data…

统计方法学 · 统计学 2018-10-10 Martin Happ , Arne C. Bathke , Edgar Brunner

Collapsibility deals with the conditions under which a conditional (on a covariate W) measure of association between two random variables X and Y equals the marginal measure of association, under the assumption of homogeneity over the…

统计理论 · 数学 2011-12-30 P. Vellaisamy

We introduce extensions of stability selection, a method to stabilise variable selection methods introduced by Meinshausen and B\"uhlmann (J R Stat Soc 72:417-473, 2010). We propose to apply a base selection method repeatedly to random…

统计方法学 · 统计学 2016-10-26 Andre Beinrucker , Ürün Dogan , Gilles Blanchard

Randomized experiments play a major role in data-driven decision making across many different fields and disciplines. In medicine, for example, randomized controlled trials (RCTs) are the backbone of clinical trial methodology for testing…

应用统计 · 统计学 2016-08-30 Andrew W. Correia

Stein's method compares probability distributions through the study of a class of linear operators called Stein operators. While mainly studied in probability and used to underpin theoretical statistics, Stein's method has led to…

We propose two nonparametric statistical tests of goodness of fit for conditional distributions: given a conditional probability density function $p(y|x)$ and a joint sample, decide whether the sample is drawn from $p(y|x)r_x(x)$ for some…

机器学习 · 统计学 2020-07-01 Wittawat Jitkrittum , Heishiro Kanagawa , Bernhard Schölkopf

Cohort studies employ pairwise measures of association to quantify dependencies among conditions and exposures. To reliably use these measures to draw conclusions about the underlying association strengths requires that the measures be…

定量方法 · 定量生物学 2017-05-30 Venkateshan Kannan , Kristina Alexandersson , Jesper Tegner