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We consider the problem of testing whether two finite-dimensional random dot product graphs have generating latent positions that are independently drawn from the same distribution, or distributions that are related via scaling or…

统计理论 · 数学 2015-11-13 Minh Tang , Avanti Athreya , Daniel L. Sussman , Vince Lyzinski , Carey E. Priebe

This paper studies inference in randomized controlled trials with covariate-adaptive randomization when there are multiple treatments. More specifically, we study inference about the average effect of one or more treatments relative to…

计量经济学 · 经济学 2019-01-21 Federico A. Bugni , Ivan A. Canay , Azeem M. Shaikh

Continuous Spontaneous Localization (CSL) is one possible explanation for dynamically induced collapse of the wave-function during a quantum measurement. The collapse is mediated by a stochastic non-linear modification of the Schrodinger…

量子物理 · 物理学 2015-01-14 Sayantani Bera , Bhawna Motwani , Tejinder P. Singh , Hendrik Ulbricht

In group sequential designs, where several data looks are conducted for early stopping, we generally assume the vector of test statistics from the sequential analyses follows (at least approximately or asymptotially) a multivariate normal…

统计理论 · 数学 2024-04-22 Long-Hao Xu , Tobias Mütze , Frank Konietschke , Tim Friede

A bifurcating system subject to multiplicative noise can exhibit on-off intermittency close to the instability threshold. For a canonical system, we discuss the dependence of this intermittency on the Power Spectrum Density (PSD) of the…

统计力学 · 物理学 2015-05-13 Sebastien Aumaitre , Kirone Mallick , Francois Petrelis

Null Hypothesis Significance Testing (NHST) has long been of central importance to psychology as a science, guiding theory development and underlying the application of evidence-based intervention and decision-making. Recent years, however,…

统计方法学 · 统计学 2020-10-20 Fintan Costello , Paul Watts

Time-to-event endpoints show an increasing popularity in phase II cancer trials. The standard statistical tool for such one-armed survival trials is the one-sample log-rank test. Its distributional properties are commonly derived in the…

统计方法学 · 统计学 2026-03-02 Moritz Fabian Danzer , Andreas Faldum , Rene Schmidt

Symmetry plays a central role in the sciences, machine learning, and statistics. While statistical tests for the presence of distributional invariance with respect to groups have a long history, tests for conditional symmetry in the form of…

统计方法学 · 统计学 2025-12-12 Kenny Chiu , Alex Sharp , Benjamin Bloem-Reddy

There are many open questions pertaining to the statistical analysis of random objects, which are increasingly encountered. A major challenge is the absence of linear operations in such spaces. A basic statistical task is to quantify…

统计方法学 · 统计学 2025-08-01 Wookyeong Song , Hans-Georg Müller

Given n observations, we study the consistency of a batch of k new observations, in terms of their distribution function. We propose a non-parametric, non-likelihood test based on Edgeworth expansion of the distribution function. The…

统计理论 · 数学 2009-06-08 Mahendra Mariadassou , Avner Bar-Hen

Randomization tests deliver exact finite-sample Type 1 error control when the null satisfies the randomization hypothesis. In practice, achieving these guarantees often requires stronger conditions than the null hypothesis of primary…

计量经济学 · 经济学 2026-04-03 Deniz Dutz , Xinyi Zhang

Gaussian comparison inequalities provide a way of bounding probabilities relating to multivariate Gaussian random vectors in terms of probabilities of random variables with simpler correlation structures. In this paper, we establish the…

概率论 · 数学 2019-11-14 Amanda Turner , John Whitehead

We consider tests of significance in the setting of the graphical lasso for inverse covariance matrix estimation. We propose a simple test statistic based on a subsequence of the knots in the graphical lasso path. We show that this…

统计理论 · 数学 2013-07-24 Max Grazier G'Sell , Jonathan Taylor , Robert Tibshirani

In this paper, we consider the decoy-state Measurement-Device-Independent Quantum key distribution (MDI-QKD) with four intensities. The average value of successful events and bit errors among the pulse pair set be used to investigate the…

量子物理 · 物理学 2016-11-28 Su-Tong Shi , Fen-Zhuo Guo

In this paper, we investigate hypothesis testing for the linear combination of mean vectors across multiple populations through the method of random integration. We have established the asymptotic distributions of the test statistics under…

应用统计 · 统计学 2024-03-13 Jianghao Li , Shizhe Hong , Zhenzhen Niu , Zhidong Bai

A variety of problems in random-effects meta-analysis arise from the conventional $Q$ statistic, which uses estimated inverse-variance (IV) weights. In previous work on standardized mean difference and log-odds-ratio, we found superior…

统计方法学 · 统计学 2020-10-22 Elena Kulinskaya , David C. Hoaglin , Joseph Newman , Ilyas Bakbergenuly

Overdispersed count data are modelled with likelihood and non-likelihood approaches. Likelihood approaches include the Poisson mixtures with three distributions, the gamma, the lognormal, and the inverse Gaussian distributions.…

统计方法学 · 统计学 2008-09-08 Stanley Xu , Gary Grunwald , Richard Jones

In this paper we proposed the alternative test to the two independent and normally distributed samples t test based on the cross variance concept. We present the simulation results of the power and the error rate of the special case of the…

统计方法学 · 统计学 2015-01-27 Rohmatul Fajriyah

We study the problem of estimating the distribution of effect sizes (the mean of the test statistic under the alternate hypothesis) in a multiple testing setting. Knowing this distribution allows us to calculate the power (type II error) of…

机器学习 · 统计学 2020-07-28 Jennifer Brennan , Ramya Korlakai Vinayak , Kevin Jamieson

In finite population causal inference exact randomization tests can be constructed for sharp null hypotheses, i.e. hypotheses which fully impute the missing potential outcomes. Oftentimes inference is instead desired for the weak null that…

统计理论 · 数学 2021-12-03 Peter L. Cohen , Colin B. Fogarty