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In this paper we propose a flexible nested error regression small area model with high dimensional parameter that incorporates heterogeneity in regression coefficients and variance components. We develop a new robust small area specific…

Methodology · Statistics 2022-01-26 Partha Lahiri , Nicola Salvati

Demand for reliable statistics at a local area (small area) level has greatly increased in recent years. Traditional area-specific estimators based on probability samples are not adequate because of small sample size or even zero sample…

Methodology · Statistics 2023-06-09 Maryam Sohrabi , J. N. K. Rao

For analyzing unit-level multivariate data in small area estimation, we consider the multivariate nested error regression model (MNER) and provide the empirical best linear unbiased predictor (EBLUP) of a small area characteristic based on…

Statistics Theory · Mathematics 2018-04-27 Tsubasa Ito , Tatsuya Kubokawa

Estimating characteristics of domains (referred to as small areas) within a population from sample surveys of the population is an important problem in survey statistics. In this paper, we consider model-based small area estimation under…

Methodology · Statistics 2026-03-17 Ziyang Lyu , A. H. Welsh

This paper suggests parametrically transformed nested error regression models (TNERM), which transform the data flexibly to follow the normal linear mixed regression. We provide a procedure for estimating consistently the parameters of the…

Methodology · Statistics 2018-03-14 Shonosuke Sugasawa , Tatsuya Kubokawa

Empirical best prediction (EBP) is a well-known method for producing reliable proportion estimates when the primary data source provides only small or no sample from finite populations. There are potential challenges in implementing…

Methodology · Statistics 2025-01-22 Aditi Sen , Partha Lahiri

Nested error regression models are useful tools for analysis of grouped data, especially in the case of small area estimation. This paper suggests a nested error regression model using uncertain random effects in which the random effect in…

Methodology · Statistics 2017-02-28 Shonosuke Sugasawa , Tatsuya Kubokawa

High-dimensional time series forecasting suffers from severe overfitting when the number of predictors exceeds available observations, making standard local projection methods unstable and unreliable. We propose an enhanced Random Subspace…

Machine Learning · Computer Science 2026-03-10 Eman Khalid , Moimma Ali Khan , Zarmeena Ali , Abdullah Illyas , Muhammad Usman , Saoud Ahmed

This paper introduces empirical best predictors of small area bivariate parameters, like ratios of sums or sums of ratios, by assuming that the target unit-level vector follows a bivariate nested error regression model. The corresponding…

Methodology · Statistics 2020-12-02 M. D. Esteban , M. J. Lombardía , E. López-Vizcaíno , D. Morales , A. Pérez

Recently, considerable attention has been devoted to the prediction problems arising from heterogeneous information networks. In this paper, we present a new prediction task, Neighbor Distribution Prediction (NDP), which aims at predicting…

Social and Information Networks · Computer Science 2015-09-29 Yuchi Ma , Ning Yang , Chuan Li , Lei Zhang , Philip S. Yu

Poverty maps are used to aid important political decisions such as allocation of development funds by governments and international organizations. Those decisions should be based on the most accurate poverty figures. However, often reliable…

Applications · Statistics 2014-08-01 Isabel Molina , Balgobin Nandram , J. N. K. Rao

Nested error regression models are commonly used to incorporate observational unit specific auxiliary variables to improve small area estimates. When the mean structure of this model is misspecified, there is generally an increase in the…

Methodology · Statistics 2024-10-10 Yuting Chen , Partha Lahiri , Nicola Salvati

In regression models involving economic variables such as income, log transformation is typically taken to achieve approximate normality and stabilize the variance. However, often the interest is predicting individual values or means of the…

Statistics Theory · Mathematics 2016-10-25 Nirian Martin , Isabel Molina

Small area estimators that ignore the sampling design lack design consistency when the sampling mechanism is complex and may be severely biased under informative designs. Existing procedures that account for the survey weights under…

Methodology · Statistics 2026-03-12 William Acero , Domingo Morales , Isabel Molina

Empirical best linear unbiased prediction (EBLUP) method uses a linear mixed model in combining information from different sources of information. This method is particularly useful in small area problems. The variability of an EBLUP is…

Statistics Theory · Mathematics 2008-12-18 Snigdhansu Chatterjee , Partha Lahiri , Huilin Li

Hyperedge prediction is crucial in hypergraph analysis for understanding complex multi-entity interactions in various web-based applications, including social networks and e-commerce systems. Traditional methods often face difficulties in…

Information Retrieval · Computer Science 2024-11-20 Shilin Qu , Weiqing Wang , Yuan-Fang Li , Quoc Viet Hung Nguyen , Hongzhi Yin

Economic forecasting is concerned with the estimation of some variable like gross domestic product (GDP) in the next period given a set of variables that describes the current situation or state of the economy, including industrial…

Econometrics · Economics 2024-04-08 Pedro Afonso Fernandes

Up-to-date poverty maps are an important tool for policy makers, but until now, have been prohibitively expensive to produce. We propose a generalizable prediction methodology to produce poverty maps at the village level using geospatial…

Computers and Society · Computer Science 2022-08-03 Kamwoo Lee , Jeanine Braithwaite

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

Modern deep neural networks achieved remarkable progress in medical image segmentation tasks. However, it has recently been observed that they tend to produce overconfident estimates, even in situations of high uncertainty, leading to…

Computer Vision and Pattern Recognition · Computer Science 2023-06-05 Agostina Larrazabal , Cesar Martinez , Jose Dolz , Enzo Ferrante
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