36 citations · 85 across the 23 of their papers we have counts for
4 papers · 1 filter
High dimensional asymptotics of likelihood ratio tests in the Gaussian sequence model under convex constraints
Qiyang Han, Bodhisattva Sen, Yandi Shen
In the Gaussian sequence model , we study the likelihood ratio test (LRT) for testing versus , where , and is a closed convex set in…
Inference for local parameters in convexity constrained models
Hang Deng, Qiyang Han, Bodhisattva Sen
We consider the problem of inference for local parameters of a convex regression function based on observations from a standard nonparametric regression…
On a phase transition in general order spline regression
Yandi Shen, Qiyang Han, Fang Han
In the Gaussian sequence model in , we study the fundamental limit of approximating the signal by a class of (generalized) s…
Confidence intervals for multiple isotonic regression and other monotone models
Hang Deng, Qiyang Han, Cun-Hui Zhang
We consider the problem of constructing pointwise confidence intervals in the multiple isotonic regression model. Recently, [HZ19] obtained a pointwise limit distribution theory fo…