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We propose a two-sample test for high-dimensional means that requires neither distributional nor correlational assumptions, besides some weak conditions on the moments and tail properties of the elements in the random vectors. This…

统计方法学 · 统计学 2019-04-17 Kaijie Xue , Fang Yao

We propose two signature-based methods to solve the optimal stopping problem - that is, to price American options - in non-Markovian frameworks. Both methods rely on a global approximation result for $L^p-$functionals on rough path-spaces,…

数理金融 · 定量金融 2025-02-10 Christian Bayer , Luca Pelizzari , John Schoenmakers

Feature screening for ultra high dimensional feature spaces plays a critical role in the analysis of data sets whose predictors exponentially exceed the number of observations. Such data sets are becoming increasingly prevalent in areas…

统计方法学 · 统计学 2018-01-31 Randall Reese , Xiaotian Dai , Guifang Fu

We propose a new model-free feature screening method based on energy distances for ultrahigh-dimensional binary classification problems. With a high probability, the proposed method retains only relevant features after discarding all the…

统计方法学 · 统计学 2023-05-19 Sarbojit Roy , Soham Sarkar , Subhajit Dutta , Anil K. Ghosh

This paper re-examines the problem of estimating risk premia in linear factor pricing models. Typically, the data used in the empirical literature are characterized by weakness of some pricing factors, strong cross-sectional dependence in…

计量经济学 · 经济学 2019-04-09 Stanislav Anatolyev , Anna Mikusheva

The two-sample problem for Cronbach's coefficient $\alpha_C$, as an estimate of test or composite score reliability, has attracted little attention, compared to the extensive treatment of the one-sample case. It is necessary to compare the…

统计理论 · 数学 2017-06-20 Markus Pauly , Maria Umlauft , Ali Ünlü

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

In modern data analysis, statistical efficiency improvement is expected via effective collaboration among multiple data holders with non-shared data. In this article, we propose a collaborative score-type test (CST) for testing linear…

统计方法学 · 统计学 2025-04-30 Yifan Gu , Hanfang Yang , Songshan Yang , Hui Zou

This paper presents our ongoing work on spatio-temporal models for formal analysis and property-based testing. Our proposed framework aims at reducing the impedance mismatch between formal methods and practitioners. We introduce a set of…

软件工程 · 计算机科学 2016-12-12 Nasser Alzahrani , Maria Spichkova , Jan Olaf Blech

This paper introduces a likelihood ratio (LR)-type test that possesses the robustness properties of \(C(\alpha)\)-type procedures in an extremum estimation setting. The test statistic is constructed by applying separate adjustments to the…

计量经济学 · 经济学 2025-10-21 Jean-Marie Dufour , Purevdorj Tuvaandorj

We develop goodness-of-fit tests for max-stable random fields, which are used to model heavy-tailed spatial data. The test statistics are constructed based on the Fourier transforms of the indicators of extreme values in the heavy-tailed…

统计方法学 · 统计学 2025-12-09 Ying Niu , Zhao Chen , Christina Dan Wang , Yuwei Zhao

Asymptotic methods for hypothesis testing in high-dimensional data usually require the dimension of the observations to increase to infinity, often with an additional relationship between the dimension (say, $p$) and the sample size (say,…

统计方法学 · 统计学 2025-12-11 Ritabrata Karmakar , Joydeep Chowdhury , Subhajit Dutta , Marc G. Genton

Graph-based tests are a class of non-parametric two-sample tests useful for analyzing high-dimensional data. The test statistics are constructed from similarity graphs (such as K-minimum spanning tree), and consequently, their performance…

统计方法学 · 统计学 2025-06-23 Yichuan Bai , Lynna Chu

We consider the detection problem of correlations in a $p$-dimensional Gaussian vector, when we observe $n$ independent, identically distributed random vectors, for $n$ and $p$ large. We assume that the covariance matrix varies in some…

统计理论 · 数学 2016-01-27 Cristina Butucea , Rania Zgheib

We propose a variational splitting technique for the generalized-$\alpha$ method to solve hyperbolic partial differential equations. We use tensor-product meshes to develop the splitting method, which has a computational cost that grows…

数值分析 · 数学 2019-11-12 Pouria Behnoudfar , Quanling Deng , Victor M. Calo

The semiparametric accelerated failure time (AFT) model offers a direct and interpretable alternative to the Cox proportional hazards model, yet practical diagnostic tools for this framework remain limited. We introduce afttest, an R…

统计计算 · 统计学 2026-03-09 Woojung Bae , Dongrak Choi , Jun Yan , Sangwook Kang

In this article, we introduce the novel concept of the second maximum of a Gaussian random field on a Riemannian submanifold. This second maximum serves as a powerful tool for characterizing the distribution of the maximum. By utilizing an…

统计理论 · 数学 2025-12-08 Jean-Marc Azaïs , Federico Dalmao , Yohann De Castro

Although unbiasedness is a basic property of a good test, many tests on vector parameters or scalar parameters against two-sided alternatives are not finite-sample unbiased. This was already noticed by Sugiura [Ann. Inst. Statist. Math. 17…

统计理论 · 数学 2012-03-05 Jana Jurečková , Jan Kalina

Parametric hypothesis testing associated with two independent samples arises frequently in several applications in biology, medical sciences, epidemiology, reliability and many more. In this paper, we propose robust Wald-type tests for…

统计方法学 · 统计学 2019-05-09 Abhik Ghosh , Nirian Martin , Ayanendranath Basu , Leandro Pardo

We consider the problem of detecting sparse heterogeneous mixtures from a nonparametric perspective, and develop distribution-free tests when all effects have the same sign. Specifically, we assume that the null distribution is symmetric…

统计理论 · 数学 2013-11-18 Ery Arias-Castro , Meng Wang