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In wireless sensor networks, various applications involve learning one or multiple functions of the measurements observed by sensors, rather than the measurements themselves. This paper focuses on type-threshold functions, e.g., the maximum…

信息论 · 计算机科学 2013-10-11 Chien-Yi Wang , Sang-Woon Jeon , Michael Gastpar

Parameter estimation with the maximum $L_q$-likelihood estimator (ML$q$E) is an alternative to the maximum likelihood estimator (MLE) that considers the $q$-th power of the likelihood values for some $q<1$. In this method, extreme values…

统计方法学 · 统计学 2025-06-23 Sihan Chen , Joydeep Chowdhury , Marc G. Genton

The recently proposed non-Gaussian Mat\'{e}rn random field models, generated through Stochastic Partial differential equations (SPDEs), are extended by considering the class of Generalized Hyperbolic processes as noise forcings. The models…

应用统计 · 统计学 2013-07-25 David Bolin , Jonas Wallin

The asymptotic variance of the maximum likelihood estimate is proved to decrease when the maximization is restricted to a subspace that contains the true parameter value. Maximum likelihood estimation allows a systematic fitting of…

统计理论 · 数学 2018-01-31 Marie Turčičová , Jan Mandel , Kryštof Eben

Joint modelling of longitudinal and time-to-event data is usually described by a joint model which uses shared or correlated latent effects to capture associations between the two processes. Under this framework, the joint distribution of…

统计方法学 · 统计学 2022-03-07 Zili Zhang , Christiana Charalambous , Peter Foster

When we are interested in high-dimensional system and focus on classification performance, the $\ell_{1}$-penalized logistic regression is becoming important and popular. However, the Lasso estimates could be problematic when penalties of…

机器学习 · 统计学 2020-06-12 Huamei Huang , Yujing Gao , Huiming Zhang , Bo Li

The composite likelihood (CL) is amongst the computational methods used for the estimation of high-dimensional multivariate normal (MVN) copula models with discrete responses. Its computational advantage, as a surrogate likelihood method,…

统计方法学 · 统计学 2022-03-10 Aristidis K. Nikoloulopoulos

Inspired by applications in sports where the skill of players or teams competing against each other varies over time, we propose a probabilistic model of pairwise-comparison outcomes that can capture a wide range of time dynamics. We…

机器学习 · 统计学 2019-05-20 Lucas Maystre , Victor Kristof , Matthias Grossglauser

We wish to estimate conditional density using Gaussian Mixture Regression model with logistic weights and means depending on the covariate. We aim at selecting the number of components of this model as well as the other parameters by a…

统计理论 · 数学 2013-04-10 Lucie Montuelle , Erwan Le Pennec , Serge Cohen

We consider statistical procedures for hypothesis testing of real valued functionals of matched pairs with missing values. In order to improve the accuracy of existing methods, we propose a novel multiplication combination procedure.…

统计理论 · 数学 2018-01-29 Lubna Amro , Frank Konietschke , Markus Pauly

In science and engineering, we often work with models designed for accurate prediction of variables of interest. Recognizing that these models are approximations of reality, it becomes desirable to apply multiple models to the same data and…

机器学习 · 计算机科学 2024-04-03 Marzieh Ajirak , Daniel Waxman , Fernando Llorente , Petar M. Djuric

Matching a nonprobability sample to a probability sample is one strategy both for selecting the nonprobability units and for weighting them. This approach has been employed in the past to select subsamples of persons from a large panel of…

统计方法学 · 统计学 2021-12-03 Zhan Liu , Richard Valliant

Estimating covariance parameters for multivariate spatial Gaussian random fields is computationally challenging, as the number of parameters grows rapidly with the number of variables, and likelihood evaluation requires operations of order…

统计方法学 · 统计学 2026-04-10 Francisco Cuevas-Pacheco , Gabriel Riffo , Xavier Emery

Gaussian processes (GPs) are a popular model for spatially referenced data and allow descriptive statements, predictions at new locations, and simulation of new fields. Often a few parameters are sufficient to parameterize the covariance…

机器学习 · 统计学 2021-01-01 Florian Gerber , Douglas W. Nychka

Testing large covariance matrices is of fundamental importance in statistical analysis with high-dimensional data. In the past decade, three types of test statistics have been studied in the literature: quadratic form statistics, maximum…

统计理论 · 数学 2020-06-02 Xiufan Yu , Danning Li , Lingzhou Xue

We introduce an approach to quickly and accurately approximate the cumulative distribution function of multivariate Gaussian distributions arising from spatial Gaussian processes. This approximation is trivially parallelizable and simple to…

统计计算 · 统计学 2020-07-31 Mauricio Nascimento , Benjamin A. Shaby

This paper presents theoretical results on combining non-probability and probability survey samples through mass imputation, an approach originally proposed by Rivers (2007) as sample matching without rigorous theoretical justification.…

统计方法学 · 统计学 2020-11-24 Jae Kwang Kim , Seho Park , Yilin Chen , Changbao Wu

Random variables of the generalized Pareto distribution, can be transformed to that of the Pareto distribution. Explicit expressions exist for the maximum likelihood estimators of the parameters of the Pareto distribution. The performance…

计算金融 · 定量金融 2018-11-06 J. Martin van Zyl

Hypothesis testing of structure in covariance matrices is of significant importance, but faces great challenges in high-dimensional settings. Although consistent frequentist one-sample covariance tests have been proposed, there is a lack of…

统计方法学 · 统计学 2020-07-22 Kyoungjae Lee , Lizhen Lin , David Dunson

Non-Gaussian likelihoods are essential for modelling complex real-world observations but pose significant computational challenges in learning and inference. Even with Gaussian priors, non-Gaussian likelihoods often lead to analytically…

机器学习 · 统计学 2024-10-29 Thang D. Bui