Análise Estatística do Erro Padrão da Média Ponderada na Interpolação de Anomalias Gravimétricas

Abstract

The weighted mean is a mathematical model widely used in two-dimensional interpolation. A statistical analysis of the standard errors produced by this model when interpolating gravity anomalies is the subject of this work. The sampling was carried out by random search on a population of gravity stations. Subsequently the Bouguer anomalies of the sampled points were interpolated. The differences between the observed and the interpolated anomalies constitute a random sample for which it is postulated the normal probability density function. The statistical validity of this postulate is submitted to parametric and non-parametric hypothesis testing. The results show that there are no systematic errors in the sample and that the variance depends strongly on the number of points used in the interpolation.