4 papers
Selection of Ultrahigh-Dimensional Interactions Using Penalty
Tonglin Zhang
Selecting interactions from an ultrahigh-dimensional statistical model with observations and variables when is difficult because the number of candidates for inter…
Exact MLE for Generalized Linear Mixed Models
Tonglin Zhang
Exact MLE for generalized linear mixed models (GLMMs) is a long-standing problem unsolved until today. The proposed research solves the problem. In this problem, the main difficult…
Exact Posterior Mean and Covariance for Generalized Linear Mixed Models
Tonglin Zhang
A novel method is proposed for the exact posterior mean and covariance of the random effects given the response in a generalized linear mixed model (GLMM) when the response does no…
Aggregated Sure Independence Screening for Variable Selection with Interaction Structures
Tonglin Zhang
A new method called the aggregated sure independence screening is proposed for the computational challenges in variable selection of interactions when the number of explanatory var…