A Roy, R Zmyślony, M Fonseca, R Leiva - Journal of Multivariate Analysis, 2016 - Elsevier
The paper deals with the best unbiased estimators of the blocked compound symmetric covariance structure for m-variate observations over u sites under the assumption of …
A Roy, K Filipiak, D Klein - Statistics, 2018 - Taylor & Francis
Testing hypotheses about the structure of a covariance matrix for doubly multivariate data is often considered in the literature. In this paper the Rao's score test (RST) is derived to test …
Y Yang, H Lee, S Chen - arXiv preprint arXiv:2304.08553, 2023 - arxiv.org
A covariance matrix with a special pattern (eg, sparsity or block structure) is essential for conducting multivariate analysis on high-dimensional data. Recently, a block covariance or …
S Tsukada - Communications in Mathematics and Statistics, 2018 - Springer
One type of covariance structure is known as blocked compound symmetry. Recently, Roy et al.(J Multivar Anal 144: 81–90, 2016) showed that, assuming this covariance structure …
G Sun, J Xie - Statistics, 2020 - Taylor & Francis
The paper considers a high-dimensional likelihood ratio (LR) test on the block compound symmetric (BCS) covariance structure of a multivariate Gaussian population. When the …
A Kozioł, A Roy, R Zmyślony, I Žežula… - … , multilinear and mixed …, 2021 - Springer
This article deals with the estimation and hypotheses testing problems for two-level and three-level multivariate data. The coordinate-free approach is used to prove that the …
T Opheim, A Roy - Computational Statistics, 2021 - Springer
The popularity of the classical general linear model (CGLM) is attributable mostly to its ease of fitting and validating; however, the CGLM is inappropriate for correlated observations. In …
T Opheim, A Roy - Proceedings of the American statistical …, 2019 - m.passtoski.com
The popularity of the classical general linear model (CGLM) is mostly due to the ease of modeling and authentication of the appropriateness of the model. However, CGLM is not …
An extension of the D 2 test statistic to test the equality of mean for high-dimensional and k- th order array-variate data using k-self similar compound symmetry (k-SSCS) covariance …