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A major challenge for building statistical models in the big data era is that the available data volume far exceeds the computational capability. A common approach for solving this problem is to employ a subsampled dataset that can be…

Computation · Statistics 2018-09-14 Lei Han , Kean Ming Tan , Ting Yang , Tong Zhang

Item nonresponse is frequently encountered in practice. Ignoring missing data can lose efficiency and lead to misleading inference. Fractional imputation is a frequentist approach of imputation for handling missing data. However, the…

Methodology · Statistics 2018-09-18 Hejian Sang , Jae Kwang Kim

Advancements in data collection techniques and the heterogeneity of data resources can yield high percentages of missing observations on variables, such as block-wise missing data. Under missing-data scenarios, traditional methods such as…

Methodology · Statistics 2022-05-17 Wei Lan , Xuerong Chen , Tao Zou , Chih-Ling Tsai

We develop an estimation methodology for a factor model for high-dimensional matrix-valued time series, where common stochastic trends and common stationary factors can be present. We study, in particular, the estimation of (row and column)…

Methodology · Statistics 2025-01-06 Rong Chen , Simone Giannerini , Greta Goracci , Lorenzo Trapani

Missing value imputation is a fundamental challenge in machine intelligence, heavily dependent on data completeness. Current imputation methods often handle numerical and categorical attributes independently, overlooking critical…

Machine Learning · Computer Science 2026-01-09 Xiaopeng Luo , Zexi Tan , Zhuowei Wang

Supervised learning under measurement constraints is a common challenge in statistical and machine learning. In many applications, despite extensive design points, acquiring responses for all points is often impractical due to resource…

Methodology · Statistics 2025-03-19 Lin Wang

Covariance matrix estimation is an important problem in multivariate data analysis, both from theoretical as well as applied points of view. Many simple and popular covariance matrix estimators are known to be severely affected by model…

Methodology · Statistics 2025-11-21 Soumya Chakraborty , Ayanendranath Basu , Abhik Ghosh

Missing data is an universal problem in statistics. We develop a unified framework for estimating parameters defined by general estimating equations under a missing-at-random (MAR) mechanism, based on generalized entropy calibration…

Methodology · Statistics 2026-03-31 Mst Moushumi Pervin , Hengfang Wang , Jae Kwang Kim

We study a high-dimensional regression setting under the assumption of known covariate distribution. We aim at estimating the amount of explained variation in the response by the best linear function of the covariates (the signal level). In…

Statistics Theory · Mathematics 2022-05-12 Ilan Livne , David Azriel , Yair Goldberg

Background: Multiple imputation is often used to reduce bias and gain efficiency when there is missing data. The most appropriate imputation method depends on the model the analyst is interested in fitting. Several imputation approaches…

Methodology · Statistics 2022-11-29 Matthew J. Smith , Matteo Quartagno , Edmund Njeru Njagi

If part of a population is hidden but two or more sources are available that each cover parts of this population, dual- or multiple-system(s) estimation can be applied to estimate this population. For this it is common to use the log-linear…

Methodology · Statistics 2023-11-06 Daan B. Zult , Peter G. M. van der Heijden , Bart F. M. Bakker

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

In countries where population census data are limited, generating accurate subnational estimates of health and demographic indicators is challenging. Existing model-based geostatistical methods leverage covariate information and spatial…

Methodology · Statistics 2022-08-08 Peter A. Gao , Jon Wakefield

In real applications of small area estimation, one often encounters data with positive response values. The use of a parametric transformation for positive response values in the Fay-Herriot model is proposed for such a case. An…

Methodology · Statistics 2017-03-31 Shonosuke Sugasawa , Tatsuya Kubokawa

Uncertainty quantification is essential in decision-making, especially when joint distributions of random variables are involved. While conformal prediction provides distribution-free prediction sets with valid coverage guarantees, it…

Machine Learning · Computer Science 2025-01-03 Rui Luo , Zhixin Zhou

We propose a structural equation model, which reduces to a multidimensional latent class item response theory model, for the analysis of binary item responses with non-ignorable missingness. The missingness mechanism is driven by two sets…

Methodology · Statistics 2014-10-21 Silvia Bacci , Francesco Bartolucci

We propose a methodology to parallelize Hamiltonian Monte Carlo estimators. Our approach constructs a pair of Hamiltonian Monte Carlo chains that are coupled in such a way that they meet exactly after some random number of iterations. These…

Computation · Statistics 2018-08-28 Jeremy Heng , Pierre E. Jacob

We consider hypotheses testing problems for three parameters in high-dimensional linear models with minimal sparsity assumptions of their type but without any compatibility conditions. Under this framework, we construct the first…

Statistics Theory · Mathematics 2020-01-23 Michael Law , Ya'acov Ritov

Ordered pivotal sampling is one of the simplest algorithm to perform without-replacement unequal probability sampling. It has found uses in the context of longitudinal surveys and spatial sampling, and enables in particular a good spatial…

Statistics Theory · Mathematics 2015-11-02 Guillaume Chauvet

This work presents the spatial error model with heteroskedasticity, which allows the joint modeling of the parameters associated with both the mean and the variance, within a traditional approach to spatial econometrics. The estimation…

Methodology · Statistics 2024-11-21 J. D. Toloza , O. O. Melo , N. A. Cruz