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Data derived from remote sensing or numerical simulations often have a regular gridded structure and are large in volume, making it challenging to find accurate spatial models that can fill in missing grid cells or simulate the process…

Machine Learning · Statistics 2025-05-07 Sweta Rai , Douglas W. Nychka , Soutir Bandyopadhyay

The computation of the maximum likelihood (ML) estimator for heteroscedastic regression models is considered. The traditional Newton algorithms for the problem require matrix multiplications and inversions, which are bottlenecks in modern…

Computation · Statistics 2016-08-24 Hien D. Nguyen , Luke R. Lloyd-Jones , Geoffrey J. McLachlan

Robust regression models in the presence of outliers have significant practical relevance in areas such as signal processing, financial econometrics, and energy management. Many existing robust regression methods, either grounded in…

Signal Processing · Electrical Eng. & Systems 2025-06-30 Pengyang Song , Jue Wang

A maximum likelihood methodology for the parameters of models with an intractable likelihood is introduced. We produce a likelihood-free version of the stochastic approximation expectation-maximization (SAEM) algorithm to maximize the…

Methodology · Statistics 2018-01-17 Umberto Picchini

This report presents an Expectation-Maximization (EM) algorithm for estimation of the maximum-likelihood parameter values of constrained multivariate autoregressive Gaussian state-space (MARSS) models. The MARSS model can be written:…

Methodology · Statistics 2013-02-19 Elizabeth E. Holmes

This paper develops asymptotic theory for estimation of parameters in regression models for binomial response time series where serial dependence is present through a latent process. Use of generalized linear model (GLM) estimating…

Statistics Theory · Mathematics 2016-06-06 W. T. M. Dunsmuir , J. Y. He

In this paper, we propose a novel variable selection approach in the framework of sparse high-dimensional GLARMA models. It consists in combining the estimation of the autoregressive moving average (ARMA) coefficients of these models with…

Statistics Theory · Mathematics 2019-10-14 Céline Lévy-Leduc , Sarah Ouadah , Laure Sansonnet

Applications of structural equation models (SEMs) are often restricted to linear associations between variables. Maximum likelihood (ML) estimation in non-linear models may be complex and require numerical integration. Furthermore, ML…

Methodology · Statistics 2019-03-15 Klaus Kähler Holst , Esben Budtz-Jørgensen

State-space models have been used in many applications, including econometrics, engineering, medical research, etc. The maximum likelihood estimation (MLE) of the static parameter of general state-space models is not straightforward because…

Methodology · Statistics 2025-02-04 Yuxiong Gao , Wentao Li , Rong Chen

We propose a sparse coefficient estimation and automated model selection procedure for autoregressive (AR) processes with heavy-tailed innovations based on penalized conditional maximum likelihood. Under mild moment conditions on the…

Methodology · Statistics 2013-09-24 Hailin Sang , Yan Sun

Trial-based cost-effectiveness analyses (CEAs) are an important source of evidence in the assessment of health interventions. In these studies, cost and effectiveness outcomes are commonly measured at multiple time points, but some…

Methodology · Statistics 2022-03-30 Andrea Gabrio , Catrin Plumpton , Sube Banerjee , Baptiste Leurent

Recent advancements in multi-modal large language models have propelled the development of joint probabilistic models capable of both image understanding and generation. However, we have identified that recent methods suffer from loss of…

Computer Vision and Pattern Recognition · Computer Science 2025-06-05 Jian Yang , Dacheng Yin , Yizhou Zhou , Fengyun Rao , Wei Zhai , Yang Cao , Zheng-Jun Zha

Model averaging has demonstrated superior performance for ensemble forecasting in high-dimensional framework, its extension to incomplete datasets remains a critical but underexplored challenge. Moreover, identifying the parsimonious model…

Methodology · Statistics 2025-09-03 Wei Xiong , Dianliang Deng , Dehui Wang

Multiple imputation is a well-established general technique for analyzing data with missing values. A convenient way to implement multiple imputation is sequential regression multiple imputation (SRMI), also called chained equations…

This work addresses the problem of missing data in time-series analysis focusing on (a) estimation of model parameters in the presence of missing data and (b) reconstruction of missing data. Standard approaches used to solve these problems…

Methodology · Statistics 2020-01-01 Dimitri Igdalov , Olga Kaiser , Ilia Horenko

In this paper we consider regression problems subject to arbitrary noise in the operator or design matrix. This characterization appropriately models many physical phenomena with uncertainty in the regressors. Although the problem has been…

Computation · Statistics 2021-04-08 Richard J Clancy , Stephen Becker

The problem of monotone missing data has been broadly studied during the last two decades and has many applications in different fields such as bioinformatics or statistics. Commonly used imputation techniques require multiple iterations…

Machine Learning · Computer Science 2020-09-25 Thu Nguyen , Duy H. M. Nguyen , Huy Nguyen , Binh T. Nguyen , Bruce A. Wade

Widely used methods for analyzing missing data can be biased in small samples. To understand these biases, we evaluate in detail the situation where a small univariate normal sample, with values missing at random, is analyzed using either…

Statistics Theory · Mathematics 2017-03-27 Paul T. von Hippel

Dramatic increases in the size and dimensionality of many recent data sets make crucial the need for sophisticated methods that can exploit inherent structure and handle missing values. In this article we derive an expectation-maximization…

Methodology · Statistics 2013-09-26 Hunter Glanz , Luis Carvalho

The development of coherent missing data models to account for nonmonotone missing at random (MAR) data by inverse probability weighting (IPW) remains to date largely unresolved. As a consequence, IPW has essentially been restricted for use…

Methodology · Statistics 2019-01-23 BaoLuo Sun , Eric J. Tchetgen Tchetgen
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