[图书][B] Finite form representations for Meijer G and fox H functions

CA Coelho, BC Arnold - 2019 - Springer
Meijer G and Fox H functions are extraordinary tools to represent distributions of random
variables and statistics, in particular when these statistics have the same distribution as that …

Testing the hypothesis of a nested block covariance matrix structure with applications to medicine and natural sciences

CA Coelho, M Norouzirad… - Mathematical Methods in …, 2025 - Wiley Online Library
This paper addresses the challenge of testing the hypothesis of what the authors call a
nested block circular‐compound symmetric (NBCCS) covariance structure for the population …

The multi-sample block-scalar sphericity test: exact and near-exact distributions for its likelihood ratio test statistic

CA Coelho, FJ Marques - Communications in Statistics-Theory and …, 2013 - Taylor & Francis
In this article the authors show how by adequately decomposing the null hypothesis of the
multi-sample block-scalar sphericity test it is possible to obtain the likelihood ratio test …

Testing the equality of several linear regression models

FJ Marques, CA Coelho, PC Rodrigues - Computational Statistics, 2017 - Springer
The linear regression models are widely used in different research fields, and often there is
the need to analyze if there are similarities between two or more different linear models or to …

Likelihood Ratio Tests for Elaborate Covariance Structures and for MANOVA Models with Elaborate Covariance Structures—A Review

CA Coelho - Journal of the Indian Institute of Science, 2022 - Springer
In this paper a review is made from the primordia of the history of likelihood ratio tests for
covariance structures and equality of mean vectors through the development of likelihood …

On the Distribution of the Product of Independent Beta Random Variables—Applications

CA Coelho, RP Alberto - Advances in Statistics-Theory and Applications …, 2021 - Springer
A first approach, based on recently obtained asymptotic expansions of ratios of gamma
functions, enables the obtention of the distribution of the product of independent and …

Testing simultaneously different covariance block diagonal structures–the multi-sample case

FJ Marques, CA Coelho - Journal of Applied Statistics, 2020 - Taylor & Francis
In this work a likelihood ratio test which allows to test simultaneously if, several covariance
matrices are equal and block diagonal with different specific structures in the diagonal …

The likelihood ratio test for equality of mean vectors with compound symmetric covariance matrices

CA Coelho - Computational Science and Its Applications–ICCSA …, 2017 - Springer
The author derives the likelihood ratio test statistic for the equality of mean vectors when the
covariance matrices are assumed to have a compound symmetric structure. Its exact …

Approximations for the likelihood ratio statistic for hypothesis testing between two Beta distributions

F Marques, F Coolen, T Coolen-Maturi - Journal of Statistical Theory and …, 2019 - Springer
In this paper, the likelihood ratio to test between two Beta distributions is addressed. The
exact distribution of the likelihood ratio statistic, for simple hypotheses, is obtained in terms …

Testing the hypothesis of a doubly exchangeable covariance matrix

CA Coelho, A Roy - Metrika, 2020 - Springer
In this paper the authors study the problem of testing the hypothesis of a doubly
exchangeable covariance matrix for three-level multivariate observations, taken on m …