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Traditional interpolation techniques for particle tracking include binning and convolutional formulas that use pre-determined (i.e., closed-form, parameteric) kernels. In many instances, the particles are introduced as point sources in time…

Data Analysis, Statistics and Probability · Physics 2021-05-05 David A Benson , Diogo Bolster , Stephen Pankavich , Michael J Schmidt

The density function of the limiting spectral distribution of general sample covariance matrices is usually unknown. We propose to use kernel estimators which are proved to be consistent. A simulation study is also conducted to show the…

Statistics Theory · Mathematics 2012-11-15 Bing-Yi Jing , Guangming Pan , Qi-Man Shao , Wang Zhou

We study the estimation, in Lp-norm, of density functions defined on [0,1]^d. We construct a new family of kernel density estimators that do not suffer from the so-called boundary bias problem and we propose a data-driven procedure based on…

Statistics Theory · Mathematics 2018-10-29 Karine Bertin , Salima El Kolei , Nicolas Klutchnikoff

This study proposes a data condensation method for multivariate kernel density estimation by genetic algorithm. First, our proposed algorithm generates multiple subsamples of a given size with replacement from the original sample. The…

Methodology · Statistics 2022-03-04 Kiheiji Nishida

This study suggests a coupling uncertainty analysis method to investigate the stiffness characteristics of variable stiffness (VS) composite. The D-vine copula function is used to address the coupling of random variables. To identify the…

Computational Engineering, Finance, and Science · Computer Science 2018-04-23 Qidi Li , Hu Wang , Yang Zeng , Zhiwei Lv

This paper describes a recursive estimation procedure for multivariate binary densities (probability distributions of vectors of Bernoulli random variables) using orthogonal expansions. For $d$ covariates, there are $2^d$ basis coefficients…

Statistics Theory · Mathematics 2012-12-03 Maxim Raginsky , Jorge Silva , Svetlana Lazebnik , Rebecca Willett

This paper proposes nonparametric kernel-smoothing estimation for panel data to examine the degree of heterogeneity across cross-sectional units. We first estimate the sample mean, autocovariances, and autocorrelations for each unit and…

Econometrics · Economics 2019-05-28 Ryo Okui , Takahide Yanagi

The R package micompr implements a procedure for assessing if two or more multivariate samples are drawn from the same distribution. The procedure uses principal component analysis to convert multivariate observations into a set of linearly…

Mathematical Software · Computer Science 2021-05-11 Nuno Fachada , João Rodrigues , Vitor V. Lopes , Rui C. Martins , Agostinho C. Rosa

In this work, we establish the asymptotic normality of the deconvolution kernel density estimator in the context of strongly mixing random fields. Only minimal conditions on the bandwidth parameter are required and a simple criterion on the…

Statistics Theory · Mathematics 2012-03-19 Ahmed El Ghini , Mohamed El Machkouri

robustloggamma is an R package for robust estimation and inference in the generalized loggamma model. We briefly introduce the model, the estimation procedures and the computational algorithms. Then, we illustrate the use of the package…

Computation · Statistics 2015-12-08 Claudio Agostinelli , Alfio Marazzi , Victor J. Yohai , Alex Randriamiharisoa

Quantile-based approaches to the spectral analysis of time series have recently attracted a lot of attention. Despite a growing literature that contains various estimation proposals, no systematic methods for computing the new estimators…

Computation · Statistics 2014-08-29 Tobias Kley

The numerical availability of statistical inference methods for a modern and robust analysis of longitudinal- and multivariate data in factorial experiments is an essential element in research and education. While existing approaches that…

Computation · Statistics 2018-01-25 Sarah Friedrich , Frank Konietschke , Markus Pauly

A smooth test to simultaneously compare $K$ copulas, where $K \geq 2$ is proposed. The $K$ observed populations can be paired, and the test statistic is constructed based on the differences between moment sequences, called copula…

Statistics Theory · Mathematics 2023-12-07 Yves Ismaël Ngounou Bakam , Denys Pommeret

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

This article proposes copula-based dependence quantification between multiple groups of random variables of possibly different sizes via the family of $Phi$-divergences. An axiomatic framework for this purpose is provided, after which we…

Statistics Theory · Mathematics 2023-02-28 Steven De Keyser , Irène Gijbels

It is common, in deconvolution problems, to assume that the measurement errors are identically distributed. In many real-life applications, however, this condition is not satisfied and the deconvolution estimators developed for…

Statistics Theory · Mathematics 2008-12-18 Aurore Delaigle , Alexander Meister

Kernel density estimation is a widely used nonparametric approach to estimate an unknown distribution. Recent work in Bayesian predictive inference has considered stochastic processes formed by specifying the predictive distribution for the…

Methodology · Statistics 2026-05-15 Torey Hilbert

There are many different ways in which change point analysis can be performed, from purely parametric methods to those that are distribution free. The ecp package is designed to perform multiple change point analysis while making as few…

Computation · Statistics 2013-11-26 Nicholas A. James , David S. Matteson

Graphical models provide powerful tools to uncover complicated patterns in multivariate data and are commonly used in Bayesian statistics and machine learning. In this paper, we introduce the R package BDgraph which performs Bayesian…

Machine Learning · Statistics 2019-05-14 Reza Mohammadi , Ernst C. Wit

Many common clustering methods cannot be used for clustering multivariate longitudinal data in cases where variables exhibit high autocorrelations. In this article, a copula kernel mixture model (CKMM) is proposed for clustering data of…

Methodology · Statistics 2025-06-23 Xi Zhang , Orla A. Murphy , Paul D. McNicholas