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Geographically Weighted Regression-Based Model Calibration Estimation of Finite Population Total under Geo-referenced Complex Surveys

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Title Geographically Weighted Regression-Based Model Calibration Estimation of Finite Population Total under Geo-referenced Complex Surveys
Not Available
 
Creator Bappa Saha
Ankur Biswas
Tauqueer Ahmad
Nobin Chandra Paul
 
Subject Geographically weighted regression
Model calibration
Spatial non-stationarity
Superpopulation
 
Description Not Available
In sample surveys, the model calibration approach is an improvement over the usual calibration approach, where the concept of the calibration approach is generalized to obtain a model-assisted estimator using more complex models based on complete auxiliary information. In many surveys, the study and auxiliary variables vary across locations and the observations tend to be similar for the nearby units than those located further
apart. In such situations, a simple global model cannot explain the relationships between some sets of variables. This phenomenon is known as spatial non-stationarity which is considered by the geographically weighted regression (GWR) model. It can capture the spatially varying relationship between different variables. In the present study, GWR-based model calibration estimators of population total of the study variable were
developed in the context of geo-referenced complex survey designs when complete auxiliary information along with their spatial locations is available at population level. The asymptotic properties of the developed GWR-based model calibration estimators were evaluated under a set of assumptions. Under the same set of assumptions, the variances and estimators of variances of the developed estimators were given. Through a spatial simulation study, the performance of the developed estimators was compared to that of existing estimators and found to be more efficient than the existing ones.
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Date 2023-11-14T16:16:42Z
2023-11-14T16:16:42Z
2023-11-06
 
Type Research Paper
 
Identifier Saha, B., Biswas, A., Ahmad, T. and Paul, N.C. (2023). Geographically Weighted Regression-Based Model Calibration Estimation of Finite Population Total under Geo-referenced Complex Surveys. Journal of Agricultural, Biological, and Environmental Statistics. https://doi.org/10.1007/s13253-023-00576-9.
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http://krishi.icar.gov.in/jspui/handle/123456789/80861
 
Language English
 
Relation Not Available;
 
Publisher Springer Nature