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Unit-level models for survey data offer many advantages over their area-level counterparts, such as potential for more precise estimates and a natural benchmarking property. However two main challenges occur in this context: accounting for…

Methodology · Statistics 2020-05-18 Paul A. Parker , Scott H. Holan , Ryan Janicki

We consider inference for misaligned multivariate functional data that represents the same underlying curve, but where the functional samples have systematic differences in shape. In this paper we introduce a new class of generally…

Applications · Statistics 2023-01-23 Niels Lundtorp Olsen , Bo Markussen , Lars Lau Rakêt

As the global HIV pandemic enters its fourth decade, increasing numbers of surveillance sites have been established which allows countries to look into the epidemics at a finer scale, e.g. at sub-national levels. Currently, the epidemic…

Applications · Statistics 2015-08-27 Le Bao , Xiaoyue Niu , Mary Mahy , Peter D. Ghys

A two-stage normal hierarchical model called the Fay--Herriot model and the empirical Bayes estimator are widely used to provide indirect and model-based estimates of means in small areas. However, the performance of the empirical Bayes…

Methodology · Statistics 2019-08-26 Shonosuke Sugasawa

Linear transformation model provides a general framework for analyzing censored survival data with covariates. The proportional hazards and proportional odds models are special cases of the linear transformation model. In biomedical…

Methodology · Statistics 2022-05-11 Sudheesh K. K. , Deemat C. Mathew , Litty Mathew , Min Xie

Accurate fertility estimates at fine spatial resolution are essential for localized public health planning, particularly in low- and middle-income countries (LMICs). While national-level indicators such as age-specific fertility rates…

Methodology · Statistics 2025-07-08 Yunhan Wu , Jon Wakefield

The objective of this work is to propose an asymptotic correction method for the estimators of parameters from regression models with covariates subject to classification errors. A correction was developed based on the least squares…

Methodology · Statistics 2025-07-11 Alexandre Garcia Dias , Mariana Rodrigues Motta , Alexandre Hild Aono

Multi-level normal hierarchical models, also interpreted as mixed effects models, play an important role in developing statistical theory in multi-parameter estimation for a wide range of applications. In this article, we propose a novel…

Statistics Theory · Mathematics 2025-11-18 Aditi Sen , Masayo Y. Hirose , Partha Lahiri

In small area estimation, it is sometimes necessary to use model-based methods to produce estimates in areas with little or no data. In official statistics, we often require that some aggregate of small area estimates agree with a national…

Methodology · Statistics 2023-01-31 Taylor Okonek , Jon Wakefield

The two-level normal hierarchical model (NHM) has played a critical role in the theory of small area estimation (SAE), one of the growing areas in statistics with numerous applications in different disciplines. In this paper, we address…

Statistics Theory · Mathematics 2017-01-17 Masayo Yoshimori Hirose , Partha Lahiri

Generalised regression estimation allows one to make use of available auxiliary information in survey sampling. We develop three types of generalised regression estimator when the auxiliary data cannot be matched perfectly to the sample…

Methodology · Statistics 2020-05-20 Li-Chun Zhang

Two-phase sampling designs are frequently employed in epidemiological studies and large-scale health surveys. In such designs, certain variables are exclusively collected within a second-phase random subsample of the initial first-phase…

Methodology · Statistics 2024-03-25 Lingxiao Wang

State-space models (SSMs) are a popular tool for modeling animal abundances. Inference difficulties for simple linear SSMs are well known, particularly in relation to simultaneous estimation of process and observation variances. Several…

Populations and Evolution · Quantitative Biology 2019-09-20 Leo Polansky , Ken B. Newman , Lara Mitchell

In statistical exercises where there are several candidate models, the traditional approach is to select one model using some data driven criterion and use that model for estimation, testing and other purposes, ignoring the variability of…

Statistics Theory · Mathematics 2008-12-18 Snigdhansu Chatterjee , Nitai D. Mukhopadhyay

It is often of interest to combine available estimates of a similar quantity from multiple data sources. When the corresponding variances of each estimate are also available, a model should take into account the uncertainty of the estimates…

Methodology · Statistics 2021-09-17 Yujing Yao , R. Todd Ogden , Chubing Zeng , Qixuan Chen

A criterion is proposed for testing hypothesis about the nature of the error variance in the dependent variable in linear model, which separates correctly and incorrectly specified models. In the former only measurement errors determine the…

Methodology · Statistics 2019-11-19 Alexander Kukush , Igor Mandel

Missing values are unavoidable in many applications of machine learning and present challenges both during training and at test time. When variables are missing in recurring patterns, fitting separate pattern submodels have been proposed as…

Machine Learning · Computer Science 2023-11-27 Lena Stempfle , Ashkan Panahi , Fredrik D. Johansson

This article reviews bias-correction models for measurement error of exposure variables in the field of nutritional epidemiology. Measurement error usually attenuates estimated slope towards zero. Due to the influence of measurement error,…

Methodology · Statistics 2020-07-14 Huimin Peng

Measurement error arises through a variety of mechanisms. A rich literature exists on the bias introduced by covariate measurement error and on methods of analysis to address this bias. By comparison, less attention has been given to errors…

Methodology · Statistics 2018-11-27 Pamela Shaw , Jiwei He , Bryan Shepherd

Semi-structured regression models enable the joint modeling of interpretable structured and complex unstructured feature effects. The structured model part is inspired by statistical models and can be used to infer the input-output…

Machine Learning · Computer Science 2024-01-24 Daniel Dold , David Rügamer , Beate Sick , Oliver Dürr