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In many fields, data appears in the form of direction (unit vector) and usual statistical procedures are not applicable to such directional data. In this study, we propose non-parametric goodness-of-fit testing procedures for general…

Methodology · Statistics 2020-02-18 Wenkai Xu , Takeru Matsuda

We consider nonparametric sequential hypothesis testing problem when the distribution under the null hypothesis is fully known but the alternate hypothesis corresponds to some other unknown distribution with some loose constraints. We…

Information Theory · Computer Science 2013-11-15 Shouvik Ganguly , K Sahasranand , Vinod Sharma

A common challenge in nonparametric inference is its high computational complexity when data volume is large. In this paper, we develop computationally efficient nonparametric testing by employing a random projection strategy. In the…

Statistics Theory · Mathematics 2018-02-20 Meimei Liu , Zuofeng Shang , Guang Cheng

Wireless sensor networks (WSNs) have attracted considerable attention in recent years and motivate a host of new challenges for distributed signal processing. The problem of distributed or decentralized estimation has often been considered…

Machine Learning · Computer Science 2009-11-11 Joel B. Predd , Sanjeev R. Kulkarni , H. Vincent Poor

In this paper we propose a new method of joint nonparametric estimation of probability density and its support. As is well known, nonparametric kernel density estimator has "boundary bias problem" when the support of the population density…

Statistics Theory · Mathematics 2024-07-19 Taku Moriyama

We propose a nonparametric variance estimator when ranked set sampling (RSS) and judgment post stratification (JPS) are applied by measuring a concomitant variable. Our proposed estimator is obtained by conditioning on observed concomitant…

Methodology · Statistics 2015-06-23 Ehsan Zamanzade , Michael Vock

Random forests are a widely used machine learning algorithm, but their computational efficiency is undermined when applied to large-scale datasets with numerous instances and useless features. Herein, we propose a nonparametric feature…

Machine Learning · Computer Science 2022-01-19 Xiaojun Mao , Liuhua Peng , Zhonglei Wang

Motivated by modeling and analysis of mass-spectrometry data, a semi- and nonparametric model is proposed that consists of a linear parametric component for individual location and scale and a nonparametric regression function for the…

Methodology · Statistics 2013-05-08 Weiping Ma , Yang Feng , Kani Chen , Zhiliang Ying

We consider partially observed multiscale diffusion models that are specified up to an unknown vector parameter. We establish for a very general class of test functions that the filter of the original model converges to a filter of reduced…

Probability · Mathematics 2017-11-28 Andrew Papanicolaou , Konstantinos Spiliopoulos

The paper considers nonparametric kernel density/regression estimation from a stochastic optimization point of view. The estimation problem is represented through a family of stochastic optimization problems. Recursive constrained…

Statistics Theory · Mathematics 2024-09-05 Vladimir Norkin , Vladimir Kirilyuk

Perhaps surprisingly, recent studies have shown probabilistic model likelihoods have poor specificity for out-of-distribution (OOD) detection and often assign higher likelihoods to OOD data than in-distribution data. To ameliorate this…

This paper considers extensions of minimum-disparity estimators to the problem of estimating parameters in a regression model that is conditionally specified; that is where a parametric model describes the distribution of a response $y$…

Statistics Theory · Mathematics 2016-02-10 Giles Hooker

This paper tackles the issue of real-time parametric estimation of a wide class of probability density functions from limited datasets. This type of estimation addresses recent applications that require joint sensing and actuation. The…

Information Theory · Computer Science 2022-03-21 Ahmad A. Masoud

Observational cohort studies with oversampled exposed subjects are typically implemented to understand the causal effect of a rare exposure. Because the distribution of exposed subjects in the sample differs from the source population,…

Methodology · Statistics 2019-02-14 Sherri Rose

Connected acyclic graphs (trees) are data objects that hierarchically organize categories. Collections of trees arise in a diverse variety of fields, including evolutionary biology, public health, machine learning, social sciences and…

Methodology · Statistics 2025-12-01 Maria Alejandra Valdez Cabrera , Amy D Willis , Armeen Taeb

While nonparametric density estimators often perform well on low dimensional data, their performance can suffer when applied to higher dimensional data, owing presumably to the curse of dimensionality. One technique for avoiding this is to…

Statistics Theory · Mathematics 2020-10-07 Robert A. Vandermeulen

The problem of accurate nonparametric estimation of distributional functionals (integral functionals of one or more probability distributions) has received recent interest due to their wide applicability in signal processing, information…

Information Theory · Computer Science 2017-07-12 Kevin R. Moon , Kumar Sricharan , Alfred O. Hero

The multivariate hypergeometric distribution describes sampling without replacement from a discrete population of elements divided into multiple categories. Addressing a gap in the literature, we tackle the challenge of estimating discrete…

Machine Learning · Computer Science 2024-06-11 Liam Hodgson , Danilo Bzdok

Understanding how treatment effects vary on individual characteristics is critical in the contexts of personalized medicine, personalized advertising and policy design. When the characteristics are of practical interest are only a subset of…

Methodology · Statistics 2023-05-03 Peng Wu , ShaSha Han , Xingwei Tong , Runze Li

We investigate the nonparametric estimation for regression in a fixed-design setting when the errors are given by a field of dependent random variables. Sufficient conditions for kernel estimators to converge uniformly are obtained. These…

Statistics Theory · Mathematics 2007-06-13 Mohamed El Machkouri