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In this paper, a two-step inertial Tseng extragradient method involving self-adaptive and Armijo-like step sizes is introduced for solving variational inequalities with a quasimonotone cost function in the setting of a real Hilbert space.…

最优化与控制 · 数学 2026-01-16 Jian-Wen Peng , Jun-Jie Luo , Abubakar Adamu

We present a novel methodology based on filtered data and moving averages for estimating effective dynamics from observations of multiscale systems. We show in a semi-parametric framework of the Langevin type that our approach is…

数值分析 · 数学 2022-01-25 Giacomo Garegnani , Andrea Zanoni

We propose a new estimator for the high-dimensional linear regression model with observation error in the design where the number of coefficients is potentially larger than the sample size. The main novelty of our procedure is that the…

统计方法学 · 统计学 2019-09-09 Alexandre Belloni , Abhishek Kaul , Mathieu Rosenbaum

Large language model (LLM) evaluation platforms increasingly rely on pairwise human judgments. These data are noisy, sparse, and non-uniform, yet leaderboards are reported with limited uncertainty quantification. We study this as…

统计方法学 · 统计学 2026-04-08 Jiachun Li , David Simchi-Levi , Will Wei Sun

In this work, we investigate the numerical approximation of the second order non-autonomous semilnear parabolic partial differential equation (PDE) using the finite element method. To the best of our knowledge, only the linear case is…

数值分析 · 数学 2020-01-27 Antoine Tambue , Jean Daniel Mukam

Inference on the parametric part of a semiparametric model is no trivial task. If one approximates the infinite dimensional part of the semiparametric model by a parametric function, one obtains a parametric model that is in some sense…

统计理论 · 数学 2025-09-23 Adam Lee , Emil A. Stoltenberg , Per A. Mykland

An estimation method is presented for polynomial phase signals, i.e., those adopting the form of a complex exponential whose phase is polynomial in its indices. Transcending the scope of existing techniques, the proposed estimator can…

信号处理 · 电气工程与系统科学 2024-11-12 Heedong Do , Namyoon Lee , Angel Lozano

Suppose we observe a geometrically ergodic semi-Markov process and have a parametric model for the transition distribution of the embedded Markov chain, for the conditional distribution of the inter-arrival times, or for both. The first two…

统计理论 · 数学 2007-12-21 Ursula U. Müller , Anton Schick , Wolfgang Wefelmeyer

Additive regression models are actively researched in the statistical field because of their usefulness in the analysis of responses determined by non-linear relationships with multivariate predictors. In this kind of statistical models,…

应用统计 · 统计学 2018-03-14 German A. Schnaidt Grez , Brani Vidakovic

We extend nonparametric regression smoothing splines to a context where there is endogeneity and instrumental variables are available. Unlike popular existing estimators, the resulting estimator is one-step and relies on a unique…

计量经济学 · 经济学 2024-12-10 Jad Beyhum , Elia Lapenta , Pascal Lavergne

We consider estimation and inference in a single index regression model with an unknown convex link function. We introduce a convex and Lipschitz constrained least squares estimator (CLSE) for both the parametric and the nonparametric…

统计理论 · 数学 2021-01-15 Arun K. Kuchibhotla , Rohit K. Patra , Bodhisattva Sen

In this paper, we study the estimation for a partial-linear single-index model. A two-stage estimation procedure is proposed to estimate the link function for the single index and the parameters in the single index, as well as the…

统计方法学 · 统计学 2009-05-14 Jane-Ling Wang , Liugen Xue , Lixing Zhu , Yun Sam Chong

We propose an estimation methodology for a semiparametric quantile factor panel model. We provide tools for inference that are robust to the existence of moments and to the form of weak cross-sectional dependence in the idiosyncratic error…

统计方法学 · 统计学 2017-09-01 Shujie Ma , Oliver Linton , Jiti Gao

We propose a structure of a semiparametric two-component mixture model when one component is parametric and the other is defined through L-moments conditions. Estimation of a two-component mixture model with an unknown component is very…

统计方法学 · 统计学 2017-12-22 Diaa Al Mohamad

This paper considers a linear regression model with an endogenous regressor which arises from a nonlinear transformation of a latent variable. It is shown that the corresponding coefficient can be consistently estimated without external…

计量经济学 · 经济学 2023-11-08 Jörg Breitung , Alexander Mayer , Dominik Wied

Triangular systems with nonadditively separable unobserved heterogeneity provide a theoretically appealing framework for the modelling of complex structural relationships. However, they are not commonly used in practice due to the need for…

计量经济学 · 经济学 2019-10-08 Victor Chernozhukov , Iván Fernández-Val , Whitney Newey , Sami Stouli , Francis Vella

A new and an enriched JPEG algorithm is provided for identifying redundancies in a sequence of irregular noisy data points which also accommodates a reference-free criterion function. Our main contribution is by formulating analytically…

统计方法学 · 统计学 2019-08-07 Nir Billfeld , Moshe Kim

Based on the concept of a L\'evy copula to describe the dependence structure of a multivariate L\'evy process we present a new estimation procedure. We consider a parametric model for the marginal L\'evy processes as well as for the L\'evy…

统计方法学 · 统计学 2013-06-10 Habib Esmaeili , Claudia Klüppelberg

Collecting multiple longitudinal measurements and time-to-event outcomes is a common practice in clinical and epidemiological studies, often focusing on exploring associations between them. Joint modeling is the standard analytical tool for…

统计方法学 · 统计学 2024-12-10 Taban Baghfalaki , Reza Hashemi , Catherine Helmer , Helene Jacqmin-Gadda

The paper considers a class of parametric elliptic partial differential equations (PDEs), where the coefficients and the right-hand side function depend on infinitely many (uncertain) parameters. We introduce a two-level a posteriori…

数值分析 · 数学 2021-03-18 Alex Bespalov , Dirk Praetorius , Michele Ruggeri