3 papers
math.ST2023
Likelihood ratio tests in random graph models with increasing dimensions
Ting Yan, Yuanzhang Li, Jinfeng Xu +2
We explore the Wilks phenomena in two random graph models: the -model and the Bradley-Terry model. For two increasing dimensional null hypotheses, including a specified null $H_…
math.ST2022
Wilks' theorems in the -model
Ting Yan, Yuanzhang Li, Jinfeng Xu +2
Likelihood ratio tests and the Wilks theorems have been pivotal in statistics but have rarely been explored in network models with an increasing dimension. We are concerned here wi…
math.ST2012
Wilks' theorems in some exponential random graph models
Ting Yan, Yuanzhang Li, Jinfeng Xu +2
We are concerned here with the likelihood ratio statistics in two exponential random graph models -- the -model and the Bradley-Terry model, in which the degree sequence on an u…