activity
20042018
most citedTesting composite hypotheses, Hermite polynomials and optimal estimation of a nonsmooth functional

80 citations · 503 across the 15 of their papers we have counts for

collaborators

15 papers

stat.ME2018★ 1 cited

Optimal Estimation of Simultaneous Signals Using Absolute Inner Product with Applications to Integrative Genomics

Rong Ma, T. Tony Cai, Hongzhe Li

Integrating the summary statistics from genome-wide association study (\textsc{gwas}) and expression quantitative trait loci (e\textsc{qtl}) data provides a powerful way of identif…

math.ST2015

Discussion of "Frequentist coverage of adaptive nonparametric Bayesian credible sets"

Subhashis Ghosal

Discussion of "Frequentist coverage of adaptive nonparametric Bayesian credible sets" by Szabó, van der Vaart and van Zanten [arXiv:1310.4489v5].

math.ST2015★ 2 cited

Discussion of "Frequentist coverage of adaptive nonparametric Bayesian credible sets"

Mark G. Low, Zongming Ma

Discussion of "Frequentist coverage of adaptive nonparametric Bayesian credible sets" by Szabó, van der Vaart and van Zanten [arXiv:1310.4489v5].

math.ST2013★ 36 cited

Adaptive confidence intervals for regression functions under shape constraints

T. Tony Cai, Mark G. Low, Yin Xia

Adaptive confidence intervals for regression functions are constructed under shape constraints of monotonicity and convexity. A natural benchmark is established for the minimum exp…

math.ST2011★ 80 cited

Testing composite hypotheses, Hermite polynomials and optimal estimation of a nonsmooth functional

T. Tony Cai, Mark G. Low

A general lower bound is developed for the minimax risk when estimating an arbitrary functional. The bound is based on testing two composite hypotheses and is shown to be effective…

math.ST2007★ 11 cited

A complement to Le Cam's theorem

Mark G. Low, Harrison H. Zhou

This paper examines asymptotic equivalence in the sense of Le Cam between density estimation experiments and the accompanying Poisson experiments. The significance of asymptotic eq…