34 citations · 126 across the 14 of their papers we have counts for
15 papers
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…
Arbitrary-Length Generalization for Addition in a Tiny Transformer
Alexandre Galvao Patriota
This paper introduces a novel training methodology that enables a Transformer model to generalize the addition of two-digit numbers to numbers with unseen lengths of digits. The pr…
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…
A measure of evidence based on the likelihood-ratio statistics
Alexandre G. Patriota
In this paper, we show that the likelihood-ratio measure (a) is invariant with respect to dominating sigma-finite measures, (b) satisfies logical consequences which are not satisfi…
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…
A statistical test to identify differences in clustering structures
André Fujita, Daniel Y. Takahashi, Alexandre G. Patriota +1
Statistical inference on functional magnetic resonance imaging (fMRI) data is an important task in brain imaging. One major hypothesis is that the presence or not of a psychiatric…
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…
A note on Carathéodory's Extension Theorem
Alexandre G Patriota
In this note, we show that the Carathéodory's extension theorem is still valid for a class of subsets of less restricted than a semi-ring, which we call quasi-semi-ring.
Vector Autoregressive Models With Measurement Errors for Testing Ganger Causality
Alexandre G. Patriota, Joao R. Sato, Betsabe G. Blas
This paper develops a method for estimating parameters of a vector autoregression (VAR) observed in white noise. The estimation method assumes the noise variance matrix is known an…
A note on Influence diagnostics in nonlinear mixed-effects elliptical models
Alexandre G. Patriota
This paper provides general matrix formulas for computing the score function, the (expected and observed) Fisher information and the matrices (required for the assessment of lo…
Influence diagnostics in Birnbaum-Saunders nonlinear regression models
Artur J. Lemonte
We consider the issue of assessing influence of observations in the class of Birnbaum-Saunders nonlinear regression models, which is useful in lifetime data analysis. Our results g…
Improved maximum likelihood estimators in a heteroskedastic errors-in-variables model
Alexandre G. Patriota, Artur J. Lemonte, Heleno Bolfarine
This paper develops a bias correction scheme for a multivariate heteroskedastic errors-in-variables model. The applicability of this model is justified in areas such as astrophysic…
Bias correction in a multivariate normal regression model with general parameterization
Alexandre G. Patriota, Artur J. Lemonte
This paper develops a bias correction scheme for a multivariate normal model under a general parameterization. In the model, the mean vector and the covariance matrix share the sam…