3 citations · 8 across the 7 of their papers we have counts for
9 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…
Semi-supervised Gaussian mixture modelling with a missing-data mechanism in R
Ziyang Lyu, Daniel Ahfock, Ryan Thompson +1
Semi-supervised learning is being extensively applied to estimate classifiers from training data in which not all the labels of the feature vectors are available. We present gmmssl…
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…
Analysis of Estimating the Bayes Rule for Gaussian Mixture Models with a Specified Missing-Data Mechanism
Ziyang Lyu
Semi-supervised learning (SSL) approaches have been successfully applied in a wide range of engineering and scientific fields. This paper investigates the generative model framewor…
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…