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 …
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 …
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 …
distribution. But this approximation is valid only when the observations come from a …
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 …
accurate for small sample sizes. This is especially useful for robust tests where not many …
[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 …
suposiciones, como la normalidad de los datos, la cual habitualmente no se tiene y, lo que …
A New Estimator: Median of the Distribution of the Mean in Robustness
A García-Pérez - Mathematics, 2023 - mdpi.com
In some statistical methods, the statistical information is provided in terms of the values used
by classical estimators, such as the sample mean and sample variance. These estimations …
by classical estimators, such as the sample mean and sample variance. These estimations …
An approximation to the small sample distribution of the trimmed mean for gaussian mixture models
A García-Pérez - Strengthening Links Between Data Analysis and Soft …, 2015 - Springer
The α-trimmed mean, a statistic commonly used in robustness studies, has an intractable
small sample distribution. For this reason, an asymptotic normal distribution or a Student t …
small sample distribution. For this reason, an asymptotic normal distribution or a Student t …
The p value line: a way to choose the tuning constant in tests based on the Huber M-estimator
A García-Pérez - Test, 2014 - Springer
In this paper, we propose a method to choose a test result from several competing ones. The
choice is based on the p value under the alternative, ie, the probability of obtaining an …
choice is based on the p value under the alternative, ie, the probability of obtaining an …
[PDF][PDF] New Robust Cross-Variogram Estimators and Approximations of Their Distributions Based on Saddlepoint Techniques. Mathematics 2021, 9, 762
A García-Pérez - 2021 - academia.edu
Let Z (s)=(Z1 (s),..., Zp (s)) t be an isotropic second-order stationary multivariate spatial
process. We measure the statistical association between the p random components of Z with …
process. We measure the statistical association between the p random components of Z with …
A Linear Approximation to the Power Function of a Robust Test
A Garcıa-Pérez - … Soft Computing and Statistical Methods in Data …, 2010 - books.google.com
The main characteristics of robust tests, such as the power function, are computed using the
asymptotic distribution of the robust test statistics because the finite sample one is …
asymptotic distribution of the robust test statistics because the finite sample one is …