6 papers
Inference in the model for directed networks under local differential privacy
Xueying Sun, Ting Yan, Binyan Jiang
We explore the edge-flipping mechanism, a type of input perturbation, to release the directed graph under edge-local differential privacy. By using the noisy bi-degree sequence fro…
Moment estimation in paired comparison models with a growing number of subjects
Qiuping Wang, Lu Pan, Ting Yan
When the number of subjects, , is large, paired comparisons are often sparse. Here, we study statistical inference in a class of paired comparison models parameterized by a set…
Inference in a generalized Bradley-Terry model for paired comparisons with covariates and a growing number of subjects
Ting Yan
Motivated by the home-field advantage in sports, we propose a generalized Bradley--Terry model that incorporates covariate information for paired comparisons. It has an -dimensi…
Testing degree heterogeneity in directed networks
Lu Pan, Qiuping Wang, Ting Yan
In this study, we focus on the likelihood ratio tests in the model for testing degree heterogeneity in directed networks, which is an exponential family distribution on direc…
Differentially private analysis of networks with covariates via a generalized -model
Ting Yan
How to achieve the tradeoff between privacy and utility is one of fundamental problems in private data analysis.In this paper, we give a rigourous differential privacy analysis of…
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_…