Prediction of finite population proportion using bivariate probit model

Surupa Roy,Oindrila Bose,Sumanta Adhya

Published 2025 in Communications in Statistics - Theory and Methods

ABSTRACT

Abstract We propose model-based predictive estimators for finite population proportions resulting from bivariate binary responses, incorporating information on auxiliary variables available for all units in the finite population. Due to the complexity of analytical expression for variance estimators, we suggest a computationally efficient hybrid bootstrap variance estimator. The performance of our proposed estimator is evaluated against other commonly used design-based estimators through comprehensive simulation studies. These findings are further supported by an empirical study using coal miners’ data.

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