34 citations · 126 across the 14 of their papers we have counts for
6 papers · 1 filter
Birnbaum's principles in Venn diagrams: Extended version with Lean verification
Jaime Enrique Lincovil Curivil, Alexandre Galvão Patriota
Birnbaum's theorem states that the sufficiency and conditionality principles jointly imply, and are implied by, the likelihood principle. To enable formal certification of the resu…
Version-Robust Methods for Identifying Minimal Sufficient Statistics
Rafael Oliveira Cavalcante, Alexandre Galvão Patriota
Let be the joint density of a random sample . A frequently used criterion asserts that a statistic is minimal sufficient if, for any sample points and , $T(x…
Improved hypothesis testing in a general multivariate elliptical model
T. F. N. Melo, S. L. P. Ferrari, A. G. Patriota
This paper investigates improved testing inferences under a general multivariate elliptical regression model. The model is very flexible in terms of the specification of the mean v…
Improved estimation in a general multivariate elliptical model
Tatiane F. N. Melo, Silvia L. P. Ferrari, Alexandre G. Patriota
The problem of reducing the bias of maximum likelihood estimator in a general multivariate elliptical regression model is considered. The model is very flexible and allows the mean…
Modified likelihood ratio tests in heteroskedastic multivariate regression models with measurement error
Tatiane F. N. Melo, Silvia L. P. Ferrari, Alexandre G. Patriota
In this paper, we develop modified versions of the likelihood ratio test for multivariate heteroskedastic errors-in-variables regression models. The error terms are allowed to foll…
A classical measure of evidence for general null hypotheses
Alexandre G. Patriota
In science, the most widespread statistical quantities are perhaps -values. A typical advice is to reject the null hypothesis if the corresponding p-value is sufficiently…