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We introduce new nonparametric predictors for homogeneous pooled data in the context of group testing for rare abnormalities and show that they achieve optimal rates of convergence. In particular, when the level of pooling is moderate, then…

Statistics Theory · Mathematics 2012-05-29 Aurore Delaigle , Peter Hall

Assume that we have a random sample from an absolutely continuous distribution (univariate, or multivariate) with a known functional form and some unknown parameters. In this paper, we have studied several parametric tests based on…

Statistics Theory · Mathematics 2024-05-14 Rahul Singh , Neeraj Misra

Low-rank matrix estimation plays a central role in various applications across science and engineering. Recently, nonconvex formulations based on matrix factorization are provably solved by simple gradient descent algorithms with strong…

Signal Processing · Electrical Eng. & Systems 2021-04-07 Cong Ma , Yuanxin Li , Yuejie Chi

We study the problem of approximate ranking from observations of pairwise interactions. The goal is to estimate the underlying ranks of $n$ objects from data through interactions of comparison or collaboration. Under a general framework of…

Statistics Theory · Mathematics 2019-06-26 Chao Gao

The aim of online monitoring is to issue an alarm as soon as there is significant evidence in the collected observations to suggest that the underlying data generating mechanism has changed. This work is concerned with open-end,…

Statistics Theory · Mathematics 2020-07-21 Mark Holmes , Ivan Kojadinovic

The paper deals with asymptotic properties of the adaptive procedure proposed in the author paper, 2007, for estimating an unknown nonparametric regression. %\cite{GaPe1}. We prove that this procedure is asymptotically efficient for a…

Statistics Theory · Mathematics 2010-02-09 Leonid Galtchouk , Serguei Pergamenchtchikov

This paper presents fast non-sampling based methods to assess the risk for trajectories of autonomous vehicles when probabilistic predictions of other agents' futures are generated by deep neural networks (DNNs). The presented methods…

Machine Learning · Computer Science 2021-09-24 Ashkan Jasour , Xin Huang , Allen Wang , Brian C. Williams

Two-sample tests for multivariate data and non-Euclidean data are widely used in many fields. Parametric tests are mostly restrained to certain types of data that meets the assumptions of the parametric models. In this paper, we study a…

Methodology · Statistics 2018-05-01 Hao Chen , Xu Chen , Yi Su

We present a method for estimating the correlation between log-rank test statistics evaluating separate null hypotheses for two time-to-event endpoints. The correlation is estimated using subject-level data by a non-parametric approach…

Methodology · Statistics 2026-01-07 Anne Lyngholm Soerensen , Paul Blanche , Henrik Ravn , Christian Pipper

Statistical inference based on lossy or incomplete samples is often needed in research areas such as signal/image processing, medical image storage, remote sensing, signal transmission. In this paper, we propose a nonparametric testing…

Statistics Theory · Mathematics 2023-08-14 Kexuan Li , Ruiqi Liu , Ganggang Xu , Zuofeng Shang

Multi-type Markov point processes offer a flexible framework for modelling complex multi-type point patterns where it is pertinent to capture both interactions between points as well as large scale trends depending on observed covariates.…

Methodology · Statistics 2025-10-15 Ib Thorsgaard Jensen , Jean-François Coeurjolly , Rasmus Waagepetersen

We propose efficient nonparametric statistics to compare medical imaging modalities in multi-reader multi-test data and to compare markers in longitudinal ROC data. The proposed methods are based on the weighted area under the ROC curve…

Applications · Statistics 2012-06-11 Liansheng Larry Tang , Aiyi Liu , Zhen Chen , Enrique F. Schisterman , Bo Zhang , Zhuang Miao

Frequently, clinical trials and observational studies involve complex event history data with multiple events. When the observations are independent, the analysis of such studies can be based on standard methods for multi-state models.…

Methodology · Statistics 2020-06-30 Giorgos Bakoyannis

This paper reconsiders the problem of testing the equality of two unspecified continuous distributions. The framework, which we propose, allows for readable and insightful data visualisation and helps to understand and quantify how two…

Methodology · Statistics 2025-03-04 Bogdan Ćmiel , Teresa Ledwina

We consider the testing of all pairwise interactions in a two-class problem with many features. We devise a hierarchical testing framework that considers an interaction only when one or more of its constituent features has a nonzero main…

Methodology · Statistics 2015-06-03 Jacob Bien , Noah Simon , Robert Tibshirani

This article proposes different tests for treatment effect heterogeneity when the outcome of interest, typically a duration variable, may be right-censored. The proposed tests study whether a policy 1) has zero distributional (average)…

Methodology · Statistics 2020-02-19 Pedro H. C. Sant'Anna

Reliable confidence estimates are important for safely deploying vision-based controllers in autonomous racing, where safety predictions must be derived from camera images, yet modern predictors become dangerously overconfident under…

Robotics · Computer Science 2026-05-21 Zhenjiang Mao , Jiawen Wu , Gabriel Wagner , Zhongzheng Zhang , Ivan Ruchkin

We propose the goodness of fit test for inhomogeneous Poisson processes with unknown scale and shift parameters. A test statistic of Cramer-von Mises type is proposed and its asymptotic behavior is studied. We show that under null…

Statistics Theory · Mathematics 2018-06-19 A. S. Dabye , Yu. A. Kutoyants , E. D. Tanguep

Despite of many measures applied for determine the difference between two groups of observations, such as mean value, median value, sample stan- dard deviation and so on, we propose a novel non parametric transformation method based on…

Applications · Statistics 2014-10-30 Kang Li , Kai Fan

This paper develops non-parametric rotation invariant CUSUMs suited to the detection of changes in the mean direction as well as changes in the concentration parameter of angular data. The properties of the CUSUMs are illustrated by…

Methodology · Statistics 2018-06-08 F. Lombard , Douglas M. Hawkins , Cornelis Potgieter
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