3 citations · 3 across the 3 of their papers we have counts for
6 papers
Asymptotic Theory for Restricted Maximum Likelihood Estimators in Generalized Linear Mixed Models
Zhanzhongyu Gao, Huadong Mo, Ziyang Lyu
Developing an asymptotic theory for restricted maximum likelihood (REML) estimators in generalized linear mixed models (GLMMs) has remained an open problem for decades. In this pap…
Semi-Supervised Mixture Models under the Concept of Missing at Radom with Margin Confidence and Aranda Ordaz Function
Jinyang Liao, Ziyang Lyu
This paper presents a semi-supervised learning framework for Gaussian mixture modelling under a Missing at Random (MAR) mechanism. The method explicitly parameterizes the missingne…
On the inverse of covariance matrices for unbalanced crossed designs
Ziyang Lyu, S. A. Sisson, A. H. Welsh
This paper addresses a long-standing open problem in the analysis of linear mixed models with crossed random effects under unbalanced designs: how to find an analytic expression fo…
Asymptotics for EBLUPs within crossed mixed effect models
Ziyang Lyu, S. A. Sisson, A. H. Welsh
In this article, we derive the joint asymptotic distribution of empirical best linear unbiased predictors (EBLUPs) for individual and cell-level random effects in a crossed mixed e…
Increasing dimension asymptotics for two-way crossed mixed effect models
Ziyang Lyu, S. A. Sisson, A. H. Welsh
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 th…
Increasing Cluster Size Asymptotics for Nested Error Regression Models
Ziyang Lyu, A. H. Welsh
This paper establishes asymptotic results for the maximum likelihood and restricted maximum likelihood (REML) estimators of the parameters in the nested error regression model for…