The estimation of the values of a variable at any point of a study area is performed using Bernstein polynomials when the sampling scheme is implemented by selecting a point in each polygon of a regular grid overimposed onto the area. The evaluation of the precision of the resulting estimates is investigated under a completely design-based framework. Moreover, as the main contribution to the mean squared error of the Bernstein-type estimator is due to the bias, also a pseudo-jackknife estimator is proposed. The performance of both estimators is investigated theoretically and by means of a simulation study. An application to a soil survey performed in Berkshire Downs in Oxfordshire (UK) is considered.

Franceschi, S., Marcheselli, M., Naddeo, S., Pisani, C. (2019). Design-based inference on Bernstein type estimators for continuous populations. BIOMETRICAL JOURNAL, 61(1), 166-186 [10.1002/bimj.201800106].

Design-based inference on Bernstein type estimators for continuous populations

Franceschi, Sara;Marcheselli, Marzia;Naddeo, Stefania;Pisani, Caterina
2019-01-01

Abstract

The estimation of the values of a variable at any point of a study area is performed using Bernstein polynomials when the sampling scheme is implemented by selecting a point in each polygon of a regular grid overimposed onto the area. The evaluation of the precision of the resulting estimates is investigated under a completely design-based framework. Moreover, as the main contribution to the mean squared error of the Bernstein-type estimator is due to the bias, also a pseudo-jackknife estimator is proposed. The performance of both estimators is investigated theoretically and by means of a simulation study. An application to a soil survey performed in Berkshire Downs in Oxfordshire (UK) is considered.
Franceschi, S., Marcheselli, M., Naddeo, S., Pisani, C. (2019). Design-based inference on Bernstein type estimators for continuous populations. BIOMETRICAL JOURNAL, 61(1), 166-186 [10.1002/bimj.201800106].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11365/1068268