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A major challenge in estimating treatment effects in observational studies is the reliance on untestable conditions such as the assumption of no unmeasured confounding. In this work, we propose an algorithm that can falsify the assumption…

统计方法学 · 统计学 2025-06-03 Rickard K. A. Karlsson , Jesse H. Krijthe

The final step of most large-scale structure analyses involves the comparison of power spectra or correlation functions to theoretical models. It is clear that the theoretical models have parameter dependence, but frequently the…

宇宙学与河外天体物理 · 物理学 2016-01-13 Martin White , Nikhil Padmanabhan

We propose a test for a change in the mean for a sequence of functional observations that are only partially observed on subsets of the domain, with no information available on the complement. The framework accommodates important scenarios,…

统计方法学 · 统计学 2025-10-10 Šárka Hudecová , Claudia Kirch

Permutation testing in linear models, where the number of nuisance coefficients is smaller than the sample size, is a well-studied topic. The common approach of such tests is to permute residuals after regressing on the nuisance covariates.…

统计方法学 · 统计学 2020-10-09 Jesse Hemerik , Magne Thoresen , Livio Finos

We call a matrix completely mixable if the entries in its columns can be permuted so that all row sums are equal. If it is not completely mixable, we want to determine the smallest maximal and largest minimal row sum attainable. These…

最优化与控制 · 数学 2015-01-06 Utz-Uwe Haus

We propose a test of the conditional independence of random variables $X$ and~$Y$ given~$Z$ under the additional assumption that $X$ is stochastically nondecreasing in~$Z$. The well-documented hardness of testing conditional independence…

统计方法学 · 统计学 2026-04-24 Rohan Hore , Jake A. Soloff , Rina Foygel Barber , Richard J. Samworth

Throughout the last decade, random forests have established themselves as among the most accurate and popular supervised learning methods. While their black-box nature has made their mathematical analysis difficult, recent work has…

统计方法学 · 统计学 2019-12-10 Tim Coleman , Wei Peng , Lucas Mentch

This article proposes a novel test for the martingale difference hypothesis based on the martingale difference divergence function, a recently developed dependence measure suitable for measuring the degree of conditional mean dependence of…

应用统计 · 统计学 2023-11-10 Luca Mattia Rolla

Change point analysis has applications in a wide variety of fields. The general problem concerns the inference of a change in distribution for a set of time-ordered observations. Sequential detection is an online version in which new data…

统计方法学 · 统计学 2013-10-16 David S. Matteson , Nicholas A. James

A novel method is proposed for detecting changes in the covariance structure of moderate dimensional time series. This non-linear test statistic has a number of useful properties. Most importantly, it is independent of the underlying…

统计方法学 · 统计学 2021-08-18 Sean Ryan , Rebecca Killick

In this paper, we propose an inferential framework testing the general community combinatorial properties of the stochastic block model. Instead of estimating the community assignments, we aim to test the hypothesis on whether a certain…

统计理论 · 数学 2020-11-02 Shuting Shen , Junwei Lu

Despite major methodological developments, Bayesian inference for Gaussian graphical models remains challenging in high dimension due to the tremendous size of the model space. This article proposes a method to infer the marginal and…

统计方法学 · 统计学 2018-04-10 Gwenaël G. R. Leday , Sylvia Richardson

We discuss Bayesian nonparametric procedures for the regression analysis of compositional responses, that is, data supported on a multivariate simplex. The procedures are based on a modified class of multivariate Bernstein polynomials and…

统计方法学 · 统计学 2021-08-31 Claudia Wehrhahn , Andrés F. Barrientos , Alejandro Jara

A new computationally efficient dependence measure, and an adaptive statistical test of independence, are proposed. The dependence measure is the difference between analytic embeddings of the joint distribution and the product of the…

机器学习 · 统计学 2016-10-18 Wittawat Jitkrittum , Zoltan Szabo , Arthur Gretton

Semisupervised methods inevitably invoke some assumption that links the marginal distribution of the features to the regression function of the label. Most commonly, the cluster or manifold assumptions are used which imply that the…

统计理论 · 数学 2011-12-02 Martin Azizyan , Aarti Singh , Larry Wasserman

We give a new consistent scoring function for structure learning of Bayesian networks. In contrast to traditional approaches to score-based structure learning, such as BDeu or MDL, the complexity penalty that we propose is data-dependent…

机器学习 · 计算机科学 2015-05-13 Eliot Brenner , David Sontag

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 this paper we derive a new framework for independent component analysis (ICA), called measure-transformed ICA (MTICA), that is based on applying a structured transform to the probability distribution of the observation vector, i.e.,…

统计方法学 · 统计学 2013-12-10 Koby Todros , Alfred O. Hero

We introduce a new method for estimating the mean of an outcome variable within groups when researchers only observe the average of the outcome and group indicators across a set of aggregation units, such as geographical areas. Existing…

统计方法学 · 统计学 2026-05-01 Cory McCartan , Shiro Kuriwaki

While statistical learning methods have proved powerful tools for predictive modeling, the black-box nature of the models they produce can severely limit their interpretability and the ability to conduct formal inference. However, the…

机器学习 · 统计学 2016-08-30 Lucas Mentch , Giles Hooker
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