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Economic inequalities referring to specific regions are crucial in deepening spatial heterogeneity. Income surveys are generally planned to produce reliable estimates at countries or macroregion levels, thus we implement a small area model…

Applications · Statistics 2024-02-09 Silvia De Nicolò , Maria Rosaria Ferrante , Silvia Pacei

Small area estimation under linear mixed models often assumes that the small area effect is random effect in almost all previous studies. However, in this paper a new approach is proposed explaining small area effect as the unknown function…

Methodology · Statistics 2014-04-16 Rong Zhu , Guohua Zou , Chun Wang , Yi Hu

We develop constrained Bayesian estimation methods for small area problems: those requiring smoothness with respect to similarity across areas, such as geographic proximity or clustering by covariates; and benchmarking constraints,…

Methodology · Statistics 2014-10-28 Rebecca C. Steorts

The mapping of populations socio-economic well-being is highly constrained by the logistics of censuses and surveys. Consequently, spatially detailed changes across scales of days, weeks, or months, or even year to year, are difficult to…

Social and Information Networks · Computer Science 2017-10-31 Abdullah Almaatouq , Francisco Prieto-Castrillo , Alex Pentland

Currently, the high-precision estimation of nonlinear parameters such as Gini indices, low-income proportions or other measures of inequality is particularly crucial. In the present paper, we propose a general class of estimators for such…

Methodology · Statistics 2014-07-01 Camelia Goga , Anne Ruiz-Gazen

Two-stage hierarchical models have been widely used in small area estimation to produce indirect estimates of areal means. When the areas are treated exchangeably and the model parameters are assumed to be the same over all areas, we might…

Methodology · Statistics 2020-01-10 Shonosuke Sugasawa , Yuki Kawakubo , Kota Ogasawara

In this article we present an alternative model for the distribution of household incomes in the United States. We provide arguments from two differing perspectives which both yield the proposed income distribution curve, and then fit this…

General Finance · Quantitative Finance 2016-04-20 Costas Efthimiou , Adam Wearne

In this paper, a procedure is given for estimating the population mean in simple random sampling without replacement in the presence of auxiliary information. The mean squared error expressions of the proposed estimators have been derived…

Statistics Theory · Mathematics 2013-08-28 Rajesh Singh , Mukesh Kumar , Manoj K. Chaudhary

The network scale-up method enables researchers to estimate the size of hidden populations, such as drug injectors and sex workers, using sampled social network data. The basic scale-up estimator offers advantages over other size estimation…

Applications · Statistics 2016-11-14 Dennis M. Feehan , Matthew J. Salganik

Algorithmic predictions are emerging as a promising solution concept for efficiently allocating societal resources. Fueling their use is an underlying assumption that such systems are necessary to identify individuals for interventions. We…

Machine Learning · Computer Science 2024-06-21 Ali Shirali , Rediet Abebe , Moritz Hardt

Small area models are mixed effects regression models that link the small areas and borrow strength from similar domains. When the auxiliary variables used in the models are measured with error, small area estimators that ignore the…

Methodology · Statistics 2018-10-23 Serena Arima , Silvia Polettini

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

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

This paper proposes a statistical mechanics approach to the analysis of income distribution and inequality. A new distribution function, having its roots in the framework of k-generalized statistics, is derived that is particularly suitable…

Physics and Society · Physics 2009-02-23 F. Clementi , M. Gallegati , G. Kaniadakis

A recurring challenge in the application of redistricting simulation algorithms lies in extracting useful summaries and comparisons from a large ensemble of districting plans. Researchers often compute summary statistics for each district…

Applications · Statistics 2024-01-15 Cory McCartan

Existing inferential methods for small area data involve a trade-off between maintaining area-level frequentist coverage rates and improving inferential precision via the incorporation of indirect information. In this article, we propose a…

Methodology · Statistics 2022-04-19 Elizabeth Bersson , Peter D. Hoff

Poverty prediction models are used to address missing data issues in a variety of contexts such as poverty profiling, targeting with proxy-means tests, cross-survey imputations such as poverty mapping, top and bottom incomes studies, or…

General Economics · Economics 2025-05-12 Paolo Verme

Synthetic indices are used in Economics to measure various aspects of monetary inequalities. These scalar indices take as input the distribution over a finite population, for example the population of a specific country. In this article we…

Applications · Statistics 2011-09-06 Eric Gautier

This paper deals with the problem of estimating the finite population mean when some information on two auxiliary attributes are available. It is shown that the proposed estimator is more efficient than the usual mean estimator and other…

Statistics Theory · Mathematics 2013-02-08 Sachin Malik , Rajesh Singh

The underlying idea behind the construction of indices of economic inequality is based on measuring deviations of various portions of low incomes from certain references or benchmarks, that could be point measures like population mean or…

Methodology · Statistics 2015-08-04 Francesca Greselin , Ricardas Zitikis