Increasing dimension asymptotics for two-way crossed mixed effect models
Statistics Theory
2024-12-24 v2 Methodology
Statistics Theory
Abstract
This paper presents asymptotic results for the maximum likelihood and restricted maximum likelihood (REML) estimators within a two-way crossed mixed effect model as the sizes of the rows, columns, and cells tend to infinity. Under very mild conditions which do not require the assumption of normality, the estimators are proven to be asymptotically normal, possessing a structured covariance matrix. The growth rate for the number of rows, columns, and cells is unrestricted, whether considered pairwise or collectively.
Cite
@article{arxiv.2401.06446,
title = {Increasing dimension asymptotics for two-way crossed mixed effect models},
author = {Ziyang Lyu and S. A. Sisson and A. H. Welsh},
journal= {arXiv preprint arXiv:2401.06446},
year = {2024}
}
Comments
24 pages