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We propose a new approach to computing global minimizers of singular value functions in two real variables. Specifically, we present new algorithms to compute the Kreiss constant of a matrix and the distance to uncontrollability of a linear…

Optimization and Control · Mathematics 2020-12-23 Tim Mitchell

We obtain global pointwise estimates for kernels of the resolvents $(I-T)^{-1}$ of integral operators \[Tf(x) = \int_{\Omega} K(x, y) f(y) d \omega(y)\] on $L^2(\Omega, \omega)$ under the assumptions that $||T||_{L^2(\omega) \rightarrow L^2…

Analysis of PDEs · Mathematics 2015-06-12 Michael Frazier , Fedor Nazarov , Igor Verbitsky

We discuss and compare various approaches to the problem of bandwidth selection for kernel estimators of intensity functions of spatial point processes. We also propose a new method based on the Campbell formula applied to the reciprocal…

Methodology · Statistics 2016-12-01 O. Cronie , M. N. M. van Lieshout

The propensity score is widely used for causal inference in observational studies, but common parametric estimators can produce biased and inefficient effect estimates when model assumptions are violated. Nonparametric approaches reduce…

Methodology · Statistics 2026-04-09 Maosen Peng , Yan Li , Chong Wu , Liang Li

Imputing missing potential outcomes using an estimated regression function is a natural idea for estimating causal effects. In the literature, estimators that combine imputation and regression adjustments are believed to be comparable to…

Statistics Theory · Mathematics 2023-01-20 Zhexiao Lin , Fang Han

This work proposes $\chi^2$-type test statistics to assess different hypotheses on the local structure of an observed marked point pattern. The test statistics is based on the local inhomogeneous extension of the mark-weighted $K$-function…

Methodology · Statistics 2026-05-14 Nicoletta D'Angelo , Giada Adelfio , Matthias Eckardt

We introduce a new class of conditional autoregressive models for spatially dependent functional data, formulated through conditional means given neighboring functional observations and characterized by a covariance operator and a spatial…

Methodology · Statistics 2026-05-22 Sooran Kim

Semilocal exchange-correlation functionals are the most accurate, realistic and widely used ones to describe the complex many-electron effects of two-dimensional quantum systems. Beyond local density approximation, the generalized gradient…

Materials Science · Physics 2017-04-12 Subrata Jana , Prasanjit samal

We show how to increase the accuracy of estimates of the two-point correlation function without sacrificing efficiency. We quantify the error of the pair-counts and of the Landy-Szalay estimator by comparing them with exact reference…

Cosmology and Nongalactic Astrophysics · Physics 2022-10-26 Martin Kerscher

Second-order statistics play a crucial role in analysing point processes. Previous research has specifically explored locally weighted second-order statistics for point processes, offering diagnostic tests in various spatial domains.…

Methodology · Statistics 2024-04-17 Nicoletta D'Angelo , Giada Adelfio , Jorge Mateu , Ottmar Cronie

We consider a stationary and isotropic spatial point process, whose a realisation is observed within a large window. In order to predict its local intensity, we propose to define the first- and second-order characteristics of a random…

Methodology · Statistics 2015-12-16 Edith Gabriel , Florent Bonneu , Pascal Monestiez , Joel Chadoeuf

The problem of simultaneous estimation of order restricted location parameters $\theta_1$ and $\theta_2$ ($-\infty<\theta_1\leq \theta_2<\infty$) of a bivariate location symmetric distribution, under a general loss function, is being…

Statistics Theory · Mathematics 2023-09-26 Naresh Garg , Neeraj Misra

In this paper, we study properties of penalized and structured M-estimators of multivariate scatter, based on geodesically convex but not necessarily smooth penalty functions. Existence and uniqueness conditions for these penalized and…

Methodology · Statistics 2026-03-31 Mengxi Yi , David Tyler

Nine of the most important estimators known for the two-point correlation function are compared using a predetermined, rigorous criterion. The indicators were extracted from over 500 subsamples of the Virgo Hubble Volume simulation cluster…

Astrophysics · Physics 2009-08-21 Martin Kerscher , Istvan Szapudi , Alex Szalay

We propose novel estimators for categorical and continuous treatments by using an optimal covariate balancing strategy for inverse probability weighting. The resulting estimators are shown to be consistent and asymptotically normal for…

Methodology · Statistics 2025-09-08 Seong-ho Lee , Yanyuan Ma , Xavier de Luna

We study weighted M-estimators for $\mathbb{R}^d$-valued clustered data and give sufficient conditions for their consistency. Their asymptotic normality is established with estimation of the asymptotic covariance matrix. We address the…

Statistics Theory · Mathematics 2016-01-14 Mohammed El Asri , Delphine Blanke , Edith Gabriel

Performance indicators are essential tools for assessing the convergence behavior of multi-objective optimization algorithms, particularly when the true Pareto front is unknown or difficult to approximate. Classical reference-based metrics…

Optimization and Control · Mathematics 2026-03-05 Thiago Santos , Sebastiao Xavier

This paper proposes a debiased estimator for causal effects in high-dimensional generalized linear models with binary outcomes and general link functions. The estimator augments a regularized regression plug-in with weights computed from a…

Econometrics · Economics 2025-10-21 Jing Kong

Fitting regression models for intensity functions of spatial point processes is of great interest in ecological and epidemiological studies of association between spatially referenced events and geographical or environmental covariates.…

Methodology · Statistics 2023-04-25 Yongtao Guan , Abdollah Jalilian , Rasmus Waagepetersen

Embedded random matrix ensembles with $k$-body interactions are well established to be appropriate for many quantum systems. For these ensemble the two point correlation function is not yet derived though these ensembles are introduced 50…

Quantum Physics · Physics 2023-06-07 V. K. B. Kota