Neural network calibration estimation with high dimensional data in survey sampling: evidence using monte carlo simulation scheme

Laraib Brirah; Haris Khurram; Muhammad Ahmed Shehzad; Aamna Khan

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Neural network calibration estimation with high dimensional data in survey sampling: evidence using monte carlo simulation scheme

Author(s)

Laraib Brirah Department of Statistics, Bahauddin Zakariya University Multan, Pakistan.

Haris Khurram National University of Computer and Emerging Sciences Chiniot-Faisalabad Campus,,Pakistan

Muhammad Ahmed Shehzad Department of Statistics, Bahauddin Zakariya University Multan, Pakistan.

Aamna Khan Department of Statistics, Bahauddin Zakariya University Multan, Pakistan.

Abstract

Calibration is commonly used in survey sampling to include auxiliary information at the estimation stage. Calibrating the observation weights on the population means (or totals) of the auxiliary variables implicitly assumes on a linear superpopulation regression model. When auxiliary information is available for all units the population, more complex modeling can be handled by means of model calibration .This article explores the estimation of finite population totals when auxiliary data is included, either univariate or multivariate. In this work we introduce a new type of model calibration nonparametric estimator for the finite population mean based on neural network learning. The proposed neural network model calibration estimators can handle any linear or nonlinear working models. More precisely, we adopt neural network learning to estimate the functional relationship between the survey variable and the auxiliary variables. Under suitable regularity conditions, the proposed estimators are proven to be design consistent. The performance of the proposed estimators for finite-size samples is investigated by means of simulation studies. The uniqueness of our work is that we observed the result by single auxiliary variable and also by increasing No. of parameters and show the efficient estimator.

Publication Details

Page(s) 299-312

DOI DOI not available

Published Journal: Pakistan Journal of Statistics, Volume: 39, Issue: 3, Year: 2023

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Keywords

Neural Networks, Auxiliary information, Calibration, Survey sampling, Generalized regression estimator, Model-assisted approach, Nonparametric regression.

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