3 citations · 8 across the 7 of their papers we have counts for
4 papers · 1 filter
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…
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…
Small Area Estimation using EBLUPs under the Nested Error Regression Model
Ziyang Lyu, A. H. Welsh
Estimating characteristics of domains (referred to as small areas) within a population from sample surveys of the population is an important problem in survey statistics. In this p…