On the maximum likelihood degree of linear mixed models with two variance components
Statistics Theory
2016-10-25 v2 Statistics Theory
Abstract
We extend the results concerning the upper bounds for the maximum likelihood degree and the REML degree of the one-way random effects model presented in Gross et al. [Electron. J. Stat. 6 (2012), pp. 993-1016] to the case of the normal linear mixed model with two variance components. Then we prove that both parts of Conjecture 1 in the paper of Gross et al., which concerns a certain extension of the one-way random effects model, are true under fairly mild conditions.
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Cite
@article{arxiv.1608.08789,
title = {On the maximum likelihood degree of linear mixed models with two variance components},
author = {Mariusz Grzadziel},
journal= {arXiv preprint arXiv:1608.08789},
year = {2016}
}
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10 pages