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This paper proposes some extensions to the work on kernels dedicated to string or time series global alignment based on the aggregation of scores obtained by local alignments. The extensions we propose allow to construct, from classical…

Machine Learning · Computer Science 2015-03-17 Pierre-François Marteau , Sylvie Gibet

We present a new smooth, Gaussian-like kernel that allows the kernel density estimate for an angular distribution to be exactly represented by a finite number of its Fourier series coefficients. Distributions of angular quantities, such as…

Computer Vision and Pattern Recognition · Computer Science 2016-06-10 Michael T. McCann , Matthew Fickus , Jelena Kovacevic

A new bandwidth selection rule that uses different bandwidths for the local linear regression estimators on the left and the right of the cut-off point is proposed for the sharp regression discontinuity estimator of the mean program impact…

Methodology · Statistics 2015-08-10 Yoichi Arai , Hidehiko Ichimura

This study considers regression analysis of a circular response with an error-prone linear covariate. Starting with an existing estimator of the circular regression function that assumes error-free covariate, three approaches are proposed…

Methodology · Statistics 2025-08-25 Nicholas Woolsey , Xianzheng Huang

Multimodal regression estimation methods are introduced for regression models involving circular response and/or covariate. The regression estimators are based on the maximization of the conditional densities of the response variable over…

Methodology · Statistics 2024-01-10 María Alonso-Pena , Rosa M. Crujeiras

We introduce a recursive algorithm for performing compressed sensing on streaming data. The approach consists of a) recursive encoding, where we sample the input stream via overlapping windowing and make use of the previous measurement in…

Machine Learning · Statistics 2013-12-18 Nikolaos M. Freris , Orhan Öçal , Martin Vetterli

This article deals with adaptive nonparametric estimation for L\'evy processes observed at low frequency. For general linear functionals of the L\'evy measure, we construct kernel estimators, provide upper risk bounds and derive rates of…

Statistics Theory · Mathematics 2014-07-15 Johanna Kappus

Suppose we are interested in the mean of an outcome that is subject to nonignorable nonresponse. This paper develops new semiparametric estimation methods with instrumental variables which affect nonresponse, but not the outcome. The…

Methodology · Statistics 2024-08-20 Baoluo Sun , Wang Miao , Deshanee S. Wickramarachchi

The present paper studies density deconvolution in the presence of small Berkson errors, in particular, when the variances of the errors tend to zero as the sample size grows. It is known that when the Berkson errors are present, in some…

Statistics Theory · Mathematics 2018-10-17 Ramchandra Rimal , Marianna Pensky

Coarse structural nested mean models are used to estimate treatment effects from longitudinal observational data. Coarse structural nested mean models lead to a large class of estimators. It turns out that estimates and standard errors may…

Statistics Theory · Mathematics 2021-06-25 Judith J. Lok , Department of Mathematics , Statistics , Boston University

The paper deals with the nonparametric estimation problem at a given fixed point for an autoregressive model with unknown distributed noise. Kernel estimate modifications are proposed. Asymptotic minimax and efficiency properties for…

Statistics Theory · Mathematics 2008-06-19 Ouerdia Arkoun , Serguei Pergamenchtchikov

We study the density estimation problem with observations generated by certain dynamical systems that admit a unique underlying invariant Lebesgue density. Observations drawn from dynamical systems are not independent and moreover, usual…

Machine Learning · Statistics 2016-07-14 Hanyuan Hang , Ingo Steinwart , Yunlong Feng , Johan A. K. Suykens

This paper studies recursive composite hypothesis testing in a network of sparsely connected agents. The network objective is to test a simple null hypothesis against a composite alternative concerning the state of the field, modeled as a…

Information Theory · Computer Science 2017-02-23 Anit Kumar Sahu , Soummya Kar

Application of nonparametric and semiparametric regression techniques to high-dimensional time series data has been hampered due to the lack of effective tools to address the ``curse of dimensionality.'' Under rather weak conditions, we…

Statistics Theory · Mathematics 2009-09-29 Li Wang , Lijian Yang

Multivariate kernel density estimations have received much spate of interest. In addition to conventional methods of (non-)classical associated-kernels for (un)bounded densities and bandwidth selections, the multiple extended-beta kernel…

Statistics Theory · Mathematics 2025-02-11 Sobom M. Somé , Célestin C. Kokonendji , Francial G. B. Libengué Dobélé-Kpoka

Kernel mean embeddings, a widely used technique in machine learning, map probability distributions to elements of a reproducing kernel Hilbert space (RKHS). For supervised learning problems, where input-output pairs are observed, the…

Machine Learning · Statistics 2024-10-24 Ambrus Tamás , Balázs Csanád Csáji

The performance of kernel density estimators is usually studied via Taylor expansions and asymptotic approximation arguments, in which the bandwidth parameter tends to zero with increasing sample size. In contrast, this paper focusses…

Statistics Theory · Mathematics 2026-02-25 Nils Lid Hjort , Nikolai G. Ushakov

Spatial autocorrelation in regression models can lead to downward biased standard errors and thus incorrect inference. The most common correction in applied economics is the spatial heteroskedasticity and autocorrelation consistent (HAC)…

Econometrics · Economics 2026-03-05 Alexander Lehner

We investigate the asymptotic mean squared error of kernel estimators of the intensity function of a spatial point process. We show that when $n$ independent copies of a point process in $\mathbb R^d$ are superposed, the optimal bandwidth…

Statistics Theory · Mathematics 2019-04-11 M. N. M. van Lieshout

We propose two new kernel-type estimators of the mean residual life function $m_X(t)$ of bounded or half-bounded interval supported distributions. Though not as severe as the boundary problems in the kernel density estimation, eliminating…

Methodology · Statistics 2020-05-29 Rizky Reza Fauzi , Yoshihiko Maesono