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In this article, we consider the problem of testing the independence between two random variables. Our primary objective is to develop tests that are highly effective at detecting associations arising from explicit or implicit functional…

统计方法学 · 统计学 2025-02-21 Seetharaman P , Sagnik Das , Angshuman Roy

We study the problems of sequential nonparametric two-sample and independence testing. Sequential tests process data online and allow using observed data to decide whether to stop and reject the null hypothesis or to collect more data,…

机器学习 · 统计学 2023-07-21 Aleksandr Podkopaev , Aaditya Ramdas

Independence testing is a fundamental problem in statistical inference: given samples from a joint distribution $p$ over multiple random variables, the goal is to determine whether $p$ is a product distribution or is $\epsilon$-far from all…

机器学习 · 统计学 2026-03-06 Maryam Aliakbarpour , Alireza Azizi , Ria Stevens

A validated simulation model primarily requires performing an appropriate input analysis mainly by determining the behavior of real-world processes using probability distributions. In many practical cases, probability distributions of the…

应用统计 · 统计学 2014-03-05 Issac Shams , Saeede Ajorlou , Kai Yang

Estimation of the covariance matrix of asset returns is crucial to portfolio construction. As suggested by economic theories, the correlation structure among assets differs between emerging markets and developed countries. It is therefore…

统计方法学 · 统计学 2021-09-28 Xin Chen , Dan Yang , Yan Xu , Yin Xia , Dong Wang , Haipeng Shen

This paper demonstrates a methodology for examining the accuracy of uncertain inference systems (UIS), after their parameters have been optimized, and does so for several common UIS's. This methodology may be used to test the accuracy when…

人工智能 · 计算机科学 2013-04-11 Ben P. Wise

Linear mixed effects are considered excellent predictors of cluster-level parameters in various domains. However, previous work has shown that their performance can be seriously affected by departures from modelling assumptions. Since the…

统计方法学 · 统计学 2022-07-27 Katarzyna Reluga , Stefan Sperlich

Permutation tests date back nearly a century to Fisher's randomized experiments, and remain an immensely popular statistical tool, used for testing hypotheses of independence between variables and other common inferential questions. Much of…

统计方法学 · 统计学 2022-12-05 Aaditya Ramdas , Rina Foygel Barber , Emmanuel J. Candes , Ryan J. Tibshirani

Intercurrent events, common in clinical trials and observational studies, affect the existence or interpretation of final outcomes. Principal stratification addresses this challenge by defining local average treatment effect estimands…

统计方法学 · 统计学 2025-09-22 Jiaqi Tong , Brennan Kahan , Michael O. Harhay , Fan Li

We do the error analysis in reliability measures due to the assumption of independence amongst the component lifetimes. In reliability theory, we come across different n-component structures like series, parallel, and k-out-of-n systems. A…

统计理论 · 数学 2024-03-11 Subarna Bhattacharjee , Aninda K. Nanda , Subhasree Patra

Experimental and observational studies often lack validity due to untestable assumptions. We propose a double machine learning approach to combine experimental and observational studies, allowing practitioners to test for assumption…

统计方法学 · 统计学 2025-11-26 Harsh Parikh , Marco Morucci , Vittorio Orlandi , Sudeepa Roy , Cynthia Rudin , Alexander Volfovsky

The accuracy of probability distributions inferred using machine-learning algorithms heavily depends on data availability and quality. In practical applications it is therefore fundamental to investigate the robustness of a statistical…

机器学习 · 统计学 2018-10-01 Christiane Goergen , Manuele Leonelli

Canonical correlation analysis (CCA) has become a key tool for population neuroimaging, allowing investigation of associations between many imaging and non-imaging measurements. As other variables are often a source of variability not of…

统计方法学 · 统计学 2024-01-09 Anderson M. Winkler , Olivier Renaud , Stephen M. Smith , Thomas E. Nichols

There is a wide variety of data mining methods available, and it is generally useful in exploratory data analysis to use many different methods for the same dataset. This, however, leads to the problem of whether the results found by one…

机器学习 · 计算机科学 2020-06-18 Sami Hanhijärvi , Markus Ojala , Niko Vuokko , Kai Puolamäki , Nikolaj Tatti , Heikki Mannila

In many applications, it is of interest to identify a parsimonious set of features, or panel, from multiple candidates that achieves a desired level of performance in predicting a response. This task is often complicated in practice by…

统计方法学 · 统计学 2025-10-23 B. D. Williamson , Y. Huang

We propose two model-free, permutation-based tests of independence between a pair of random variables. The tests can be applied to samples from any bivariate distribution: continuous, discrete or mixture of those, with light tails or heavy…

统计方法学 · 统计学 2022-05-16 Jiří Dvořák , Tomáš Mrkvička

The assumption that data samples are independent and identically distributed (iid) is standard in many areas of statistics and machine learning. Nevertheless, in some settings, such as social networks, infectious disease modeling, and…

统计方法学 · 统计学 2019-02-06 Eli Sherman , Ilya Shpitser

Model-based clustering is a powerful tool that is often used to discover hidden structure in data by grouping observational units that exhibit similar response values. Recently, clustering methods have been developed that permit…

统计方法学 · 统计学 2025-06-24 Sally Paganin , Garritt L. Page , Fernando Andrés Quintana

In this paper, we address the fusion problem in wireless sensor networks, where the cross-correlation between the estimates is unknown. To solve the problem within the Bayesian framework, we assume that the covariance matrix has a prior…

信息论 · 计算机科学 2015-09-14 Zhiyuan Weng , Petar Djuric

When observations are organized into groups where commonalties exist amongst them, the dependent random measures can be an ideal choice for modeling. One of the propositions of the dependent random measures is that the atoms of the…

机器学习 · 统计学 2016-06-28 Cheng Luo , Richard Yi Da Xu , Yang Xiang