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In multigroup data settings with small within-group sample sizes, standard $F$-tests of group-specific linear hypotheses can have low power, particularly if the within-group sample sizes are not large relative to the number of explanatory…

统计方法学 · 统计学 2022-03-25 Andrew McCormack , Peter Hoff

We propose a testing and estimation methodology for univariate and bivariate symmatric $\alpha$-stable distributions using a modified version of the Greenwood statistic. Originally designed for positive-valued random variables, the…

Model checking plays an important role in linear regression as model misspecification seriously affects the validity and efficiency of regression analysis. In practice, model checking is often performed by subjectively evaluating the plot…

统计理论 · 数学 2019-11-19 Rok Blagus , Jakob Peterlin , Janez Stare

In clinical and epidemiological research doubly truncated data often appear. This is the case, for instance, when the data registry is formed by interval sampling. Double truncation generally induces a sampling bias on the target variable,…

统计方法学 · 统计学 2023-01-11 Jacobo de Uña-Álvarez

Computing the similarity between two probability distributions is a recurring theme across control. We introduce a unified family of distances between the probability distributions of two random variables that is based on the discrepancy…

系统与控制 · 电气工程与系统科学 2025-10-03 Alexandros E. Tzikas , Arec Jamgochian , Nazim Kemal Ure , Mykel J. Kochenderfer , Stephen P. Boyd

In multiple classification, one aims to determine whether a testing sequence is generated from the same distribution as one of the M training sequences or not. Unlike most of existing studies that focus on discrete-valued sequences with…

机器学习 · 统计学 2024-10-30 Lina Zhu , Lin Zhou

We propose a new asymptotic test to assess the stationarity of a time series' mean that is applicable in the presence of both heteroscedasticity and short-range dependence. Our test statistic is composed of Gini's mean difference of local…

统计理论 · 数学 2021-08-23 Sara Kristin Schmidt

In many biological applications, the primary objective of study is to quantify the magnitude of treatment effect between two groups. Cohens'd or strictly standardized mean difference (SSMD) can be used to measure effect size however, it is…

应用统计 · 统计学 2020-11-18 Seongyong Park , Shujaat Khan , Muhammad Moinuddin , Ubaid M. Al-Saggaf

Linear mixed-effects models are widely used in analyzing repeated measures data, including clustered and longitudinal data, where inferences of both fixed effects and variance components are of importance. Unlike the fixed effect inference…

统计方法学 · 统计学 2022-08-31 J. Zhang , W. Guo , J. S. Carpenter , Andrew Leroux , K. R. Merikangas , N. G. Martin , I. B. Hickie , H. Shou , H. Li

Statistical significance measures the reliability of a result obtained from a random experiment. We investigate the number of repetitions needed for a statistical result to have a certain significance. In the first step, we consider…

统计方法学 · 统计学 2024-06-19 Maike Tormählen , Galiya Klinkova , Michael Grabinski

The aim of this paper is to introduce a new type of test statistic for simple null hypothesis on one-dimensional ergodic diffusion processes sampled at discrete times. We deal with a quasi-likelihood approach for stochastic differential…

概率论 · 数学 2018-01-16 Alessandro De Gregorio , Stefano M. Iacus

We introduce a new statistical test based on the observed spacings of ordered data. The statistic is sensitive to detect non-uniformity in random samples, or short-lived features in event time series. Under some conditions, this new test…

统计方法学 · 统计学 2022-10-27 Philipp Eller , Lolian Shtembari

The quantum statistical parton distributions approach proposed more than one decade ago is revisited by considering a larger set of recent and accurate Deep Inelastic Scattering experimental results. It enables us to improve the description…

高能物理 - 唯象学 · 物理学 2017-04-05 Jacques Soffer , Claude Bourrely

Local density fluctuations near the QCD critical point can be probed by an intermittency analysis of power-law behavior on scaled factorial moments in relativistic heavy-ion collisions. We study the second-order scaled factorial moment in…

核理论 · 物理学 2022-08-12 Zhiming Li , Jin Wu

Testing for the equality of two high-dimensional distributions is a challenging problem, and this becomes even more challenging when the sample size is small. Over the last few decades, several graph-based two-sample tests have been…

统计方法学 · 统计学 2019-11-22 Soham Sarkar , Rahul Biswas , Anil K. Ghosh

Mixed-effects logistic regression is widely used for binary outcomes in hierarchical data, yet formal goodness-of-fit tests remain limited to random-intercept models and do not address sparse cluster settings. We extend a grouping-based…

统计方法学 · 统计学 2026-04-22 Ariel Linden

In causal inference, we can consider a situation in which treatment on one unit affects others, i.e., interference exists. In the presence of interference, we cannot perform a classical randomization test directly because a null hypothesis…

统计方法学 · 统计学 2022-03-22 Mizuho Yanagi , Tomonari Sei

We address the statistics of continuous weak linear measurement on a few-state quantum system that is subject to a conditioned quantum evolution. For a conditioned evolution, both the initial and final states of the system are fixed: the…

量子物理 · 物理学 2017-02-23 A. Franquet , Yuli V. Nazarov

In this paper we address the statistical problem of testing if a stationary process is Gaussian. The observation consists in a finite sample path of the process. Using a random projection technique introduced and studied in Cuesta-Albertos…

统计方法学 · 统计学 2009-11-19 Juan . A. Cuesta-Albertos , Fabrice Gamboa Alicia Nieto-Reyes

This paper aims to test the number of spikes in a generalized spiked covariance matrix, the spiked eigenvalues of which may be extremely larger or smaller than the non-spiked ones. For a high-dimensional problem, we first propose a general…

统计方法学 · 统计学 2022-03-15 Dandan Jiang