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In this paper, for the problem of heteroskedastic general linear hypothesis testing (GLHT) in high-dimensional settings, we propose a random integration method based on the reference L2-norm to deal with such problems. The asymptotic…

统计理论 · 数学 2024-09-19 Mingxiang Cao , Hongwei Zhang , Kai Xu , Daojiang He

We discuss recently developed methods that quantify the stability and generalizability of statistical findings under distributional changes. In many practical problems, the data is not drawn i.i.d. from the target population. For example,…

统计方法学 · 统计学 2023-10-05 Dominik Rothenhäusler , Peter Bühlmann

We apply the concept of distance covariance for testing independence of two long-range dependent time series. As test statistic we propose a linear combination of empirical distance cross-covariances. We derive the asymptotic distribution…

统计理论 · 数学 2026-01-28 Annika Betken , Herold Dehling

Based on the median and the median absolute deviation estimators, and the Hodges-Lehmann and Shamos estimators, robustified analogues of the conventional $t$-test statistic are proposed. The asymptotic distributions of these statistics are…

应用统计 · 统计学 2022-02-24 Chanseok Park , Min Wang

Utilizing recent DIS measurements (\sigma_r, F_{2,3,L}) and data on hadronic dilepton production we determine at NNLO (3-loop) of QCD the dynamical parton distributions of the nucleon generated radiatively from valencelike positive input…

高能物理 - 唯象学 · 物理学 2013-05-29 P. Jimenez-Delgado , E. Reya

G-computation has become a widely used robust method for estimating unconditional (marginal) treatment effects with covariate adjustment in the analysis of randomized clinical trials. Statistical inference in this context typically relies…

统计方法学 · 统计学 2025-03-18 Xin Zhang , Haitao Chu , Lin Liu , Satrajit Roychoudhury

A non parametric method based on the empirical likelihood is proposed for detecting the change in the coefficients of high-dimensional linear model where the number of model variables may increase as the sample size increases. This amounts…

统计理论 · 数学 2015-06-22 Gabriela Ciuperca , Zahraa Salloum

The ability of random environmental variation to stabilize competitor coexistence was pointed out long ago and, in recent years, has received considerable attention. Analyses have focused on variations in the log-abundances of species, with…

种群与进化 · 定量生物学 2020-04-14 Antony Dean , Nadav M. Shnerb

We study two nonparametric tests of the hypothesis that a sequence of independent observations is identically distributed against the alternative that at a single change point the distribution changes. The tests are based on the Cramer-von…

统计理论 · 数学 2020-10-15 Rasmus Erlemann , Richard Lockhart , Rihan Yao

The Central Limit Theorem (CLT) is one of the most fundamental results in statistics. It states that the standardized sample mean of a sequence of $n$ mutually independent and identically distributed random variables with finite first and…

I propose two U-statistics to test coefficients in generalized linear models. One of them is used to deal with global hypothesis and the other one to test with the nuisance parameter. Both the statistics proposed are within high-dimensional…

应用统计 · 统计学 2013-12-03 Gong Zi Jiang Nan

Le Cam's third/contiguity lemma is a fundamental probabilistic tool to compute the limiting distribution of a given statistic $T_n$ under a non-null sequence of probability measures $\{Q_n\}$, provided its limiting distribution under a null…

统计理论 · 数学 2022-11-16 Qiyang Han , Tiefeng Jiang , Yandi Shen

We introduce a new procedure for testing the significance of a set of regression coefficients in a Gaussian linear model with $n \geq d$. Our method, the $L$-test, provides the same statistical validity guarantee as the classical $F$-test,…

统计方法学 · 统计学 2025-12-01 Danielle Paulson , Souhardya Sengupta , Lucas Janson

We consider goodness-of-fit tests of symmetric stable distributions based on weighted integrals of the squared distance between the empirical characteristic function of the standardized data and the characteristic function of the standard…

统计理论 · 数学 2009-01-06 Muneya Matsui , Akimichi Takemura

We present a sequential testing method to identify a practically significant effect. We build on the existing mixture sequential probability ratio test (mSPRT) that can sequentially test for a non-zero treatment effect by using a truncated…

统计方法学 · 统计学 2025-09-10 Kyu Min Shim

Inference and hypothesis testing are typically constructed on the basis that a specific model holds for the data. To determine the veracity of conclusions drawn from such data analyses, one must be able to identify the presence of the…

信号处理 · 电气工程与系统科学 2022-08-30 S. E. Abramson , W. Moran , R. J. Evans , A. Melatos

We estimate the probability that random noise, of several plausible standard distributions, creates a false alarm that a periodicity (or log-periodicity) is found in a time series. We investigate general situations with non-Gaussian…

统计力学 · 物理学 2009-11-07 Wei-Xing Zhou , Didier Sornette

An unbinned statistical test on cluster-like deviations from Poisson processes for point process data is introduced, presented in the context of time variability analysis of astrophysical sources in count rate experiments. The measure of…

天体物理学 · 物理学 2007-05-23 Juergen Prahl

In the Gaussian sequence model $Y=\mu+\xi$, we study the likelihood ratio test (LRT) for testing $H_0: \mu=\mu_0$ versus $H_1: \mu \in K$, where $\mu_0 \in K$, and $K$ is a closed convex set in $\mathbb{R}^n$. In particular, we show that…

统计理论 · 数学 2021-06-22 Qiyang Han , Bodhisattva Sen , Yandi Shen

A CUSUM type test for constant correlation that goes beyond a previously suggested correlation constancy test by considering Spearman's rho in arbitrary dimensions is proposed. Since the new test does not require the existence of any…

统计方法学 · 统计学 2014-01-31 Dominik Wied , Herold Dehling , Maarten van Kampen , Daniel Vogel