On robustness for spatio-temporal data

A García-Pérez - Mathematics, 2022 - mdpi.com
The spatio-temporal variogram is an important factor in spatio-temporal prediction through
kriging, especially in fields such as environmental sustainability or climate change, where …

New robust cross-variogram estimators and approximations of their distributions based on saddlepoint techniques

A García-Pérez - Mathematics, 2021 - mdpi.com
Let Z (s)=(Z 1 (s),…, Z p (s)) t be an isotropic second-order stationary multivariate spatial
process. We measure the statistical association between the p random components of Z with …

Saddlepoint approximations for the distribution of some robust estimators of the variogram

A García-Pérez - Metrika, 2020 - Springer
In this paper, we obtain a saddlepoint approximation for the small sample distribution of
several variogram estimators such as the classical Matheron's estimator, some M-estimators …

A von Mises approximation to the small sample distribution of the trimmed mean

A García-Pérez - Metrika, 2016 - Springer
The small sample distribution of the trimmed mean is usually approximated by a Student'st
distribution. But this approximation is valid only when the observations come from a …

Chi-square tests under models close to the normal distribution

A García-Pérez - Metrika, 2006 - Springer
Many test statistics follow a χ 2 distribution because a normal model is assumed as
underlying distribution. In this paper we obtain good analytic approximations for the p-value …

A linear approximation to the power function of a test

A García-Pérez - Metrika, 2012 - Springer
In this paper we obtain a linear approximation to the power function of a test that is very
accurate for small sample sizes. This is especially useful for robust tests where not many …

Another look at the tail area influence function

A García-Pérez - Metrika, 2011 - Springer
A new way of computing the Tail Area Influence Function (TAIF) exactly is proposed and a
new finite sample robustness measure, based on the TAIF, is introduced. The main …

[图书][B] ESTADÍSTICA APLICADA ROBUSTA CON R

A GARCÍA PÉREZ - 2024 - books.google.com
La mayoría de los Métodos Estadísticos habitualmente utilizados, requieren de unas
suposiciones, como la normalidad de los datos, la cual habitualmente no se tiene y, lo que …

t-tests with Models Close to the Normal Distribution

A García-Pérez - Advances in distribution theory, order statistics, and …, 2006 - Springer
The t-distribution is a very usual distribution for several test statistics because a normal
distribution is frequently assumed as underlying model. Even in some tests based on robust …

Approximations for F-tests which are ratios of sums of squares of independent variables with a model close to the normal

A García-Pérez - Test, 2008 - Springer
Abstract The F (a, b)-distribution is very frequently used in Statistics to compute significance
levels when the individual observations follow a normal distribution. In this paper, we obtain …