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This paper presents an integrated framework for estimation and inference from generalized linear models using adjusted score equations that result in mean and median bias reduction. The framework unifies theoretical and methodological…

统计方法学 · 统计学 2019-01-15 Ioannis Kosmidis , Euloge Clovis Kenne Pagui , Nicola Sartori

A generalized matrix-pencil approach is proposed for the estimation of complex exponential components with segmented signal samples, which is very efficient and provides super-resolution estimations. It is applicable to the signals sampled…

信号处理 · 电气工程与系统科学 2022-10-28 Jianping Wang , Alexander Yarovoy

Weighted bipolar argumentation frameworks offer a tool for decision support and social media analysis. Arguments are evaluated by an iterative procedure that takes initial weights and attack and support relations into account. Until…

人工智能 · 计算机科学 2019-03-04 Nico Potyka

We compute bilinear integrals involving Macdonald and Gegenbauer functions. These integrals are convergent only for a limited range of parameters. However, when one uses generalized integrals they can be computed essentially without…

经典分析与常微分方程 · 数学 2023-06-16 Jan Dereziński , Christian Gaß , Błażej Ruba

We obtain several estimates for bilinear form with Kloosterman sums. Such results can be interpreted as a measure of cancellations amongst with parameters from short intervals. In particular, for certain ranges of parameters we improve some…

数论 · 数学 2016-08-23 Igor E. Shparlinski

Semiparametric regression offers a flexible framework for modeling non-linear relationships between a response and covariates. A prime example are generalized additive models where splines (say) are used to approximate non-linear functional…

统计理论 · 数学 2018-10-05 Francis K. C. Hui , Chong You , Han Lin Shang , Samuel Müller

Currently, the high-precision estimation of nonlinear parameters such as Gini indices, low-income proportions or other measures of inequality is particularly crucial. In the present paper, we propose a general class of estimators for such…

统计方法学 · 统计学 2014-07-01 Camelia Goga , Anne Ruiz-Gazen

Efficient estimation under bias sampling, censoring or truncation is a difficult question which has been partially answered and the usual estimators are not always consistent. Several biased designs are considered for models with variables…

统计理论 · 数学 2007-10-22 Odile Pons

Quantile regression provides a framework for modeling statistical quantities of interest other than the conditional mean. The regression methodology is well developed for linear models, but less so for nonparametric models. We consider…

统计理论 · 数学 2009-09-29 Mi-Ok Kim

We show that the limiting variance of a sequence of estimators for a structured covariance matrix has a general form that appears as the variance of a scaled projection of a random matrix that is of radial type and a similar result is…

统计理论 · 数学 2024-07-03 Hendrik Paul Lopuhaä

New Hardy and Sobolev type inequalities involving $L^1$-norms of scalar and vector-valued functions in $\Bbb{R}^n$ are obtained. The work is related to some problems stated in the recent paper by Bourgain and Brezis

偏微分方程分析 · 数学 2008-09-27 Vladimir Maz'ya

We consider functional linear regression models where functional outcomes are associated with scalar predictors by coefficient functions with shape constraints, such as monotonicity and convexity, that apply to sub-domains of interest. To…

统计方法学 · 统计学 2025-05-09 Kyunghee Han , Yeonjoo Park , Soo-Young Kim

Generalized linear models are flexible tools for the analysis of diverse datasets, but the classical formulation requires that the parametric component is correctly specified and the data contain no atypical observations. To address these…

统计方法学 · 统计学 2023-04-21 Ioannis Kalogridis , Gerda Claeskens , Stefan Van Aelst

We rewrite the standard nodal virtual element method as a generalised gradient method. This re-formulation allows for computing a reliable and efficient error estimator by locally reconstructing broken fluxes and potentials on elemental…

数值分析 · 数学 2025-03-18 Théophile Chaumont-Frelet , Joscha Gedicke , Lorenzo Mascotto

In this paper we present certain bilinear estimates for commutators on Besov spaces with variable smoothness and integrability, and under no vanishing assumptions on the divergence of vector fields. Such commutator estimates are motivated…

偏微分方程分析 · 数学 2023-12-11 Salah BenMahmoud

Traditionally, the sensitivity analysis of a Bayesian network studies the impact of individually modifying the entries of its conditional probability tables in a one-at-a-time (OAT) fashion. However, this approach fails to give a…

人工智能 · 计算机科学 2024-06-11 Rafael Ballester-Ripoll , Manuele Leonelli

Structured additive distributional regression models offer a versatile framework for estimating complete conditional distributions by relating all parameters of a parametric distribution to covariates. Although these models efficiently…

统计方法学 · 统计学 2023-11-14 Jana Kleinemeier , Nadja Klein

In this paper, we propose a novel method to select significant variables and estimate the corresponding coefficients in multiple-index models with a group structure. All existing approaches for single-index models cannot be extended…

统计理论 · 数学 2015-04-13 Tao Wang , Peirong Xu , Lixing Zhu

The R package "sensobol" provides several functions to conduct variance-based uncertainty and sensitivity analysis, from the estimation of sensitivity indices to the visual representation of the results. It implements several…

统计计算 · 统计学 2021-12-06 Arnald Puy , Samuele Lo Piano , Andrea Saltelli , Simon A. Levin

Variational inference for latent variable models is prevalent in various machine learning problems, typically solved by maximizing the Evidence Lower Bound (ELBO) of the true data likelihood with respect to a variational distribution.…

机器学习 · 计算机科学 2018-07-11 Guoqing Zheng , Yiming Yang , Jaime Carbonell