About me
I am an assistant professor of Statistics at Rutgers University. I received a Ph.D. in Statistics from University of Washington in 2018 under the supervision of Professor Jon A. Wellner.
I am broadly interested in mathematical statistics and high dimensional probability. My current research is concentrated on abstract empirical process theory, and its applications to nonparametric function estimation (with a special focus on shaperestricted problems), Bayes nonparametrics, and high dimensional statistics. My research is partially supported by a generous NSF grant.
Papers
 Q. Han (2019) Global empirical risk minimizers with “shape constraints” are rate optimal in general dimensions. [arXiv]
 Q. Han (2019) Multiplier Uprocesses: sharp bounds and applications. [pdf]
 Q. Han and J. A. Wellner (2019) Complex sampling designs: uniform limit theorems and applications. [arXiv]
 Q. Han and C.H. Zhang (2019) Limit distribution theory for multiple isotonic regression. [arXiv]
 Q. Han and J. A. Wellner (2018) Robustness of shaperestricted regression estimators: an envelope perspective. [arXiv]
 Q. Han*, T. Wang*, S. Chatterjee and R. J. Samworth (2018+) Isotonic regression in general dimensions. Ann. Statist., to appear. [arXiv] (*=equal contribution)

Q. Han and J. A. Wellner (2019) Convergence rates of least squares regression estimators with heavytailed errors. Ann. Statist., 47, 2286–2319. [arXiv]
(to be presented in the Annals of Statistics special invited session at JSM 2019)
 Q. Han (2017) Oracle posterior contraction rates under hierarchical priors. [arXiv]
 Q. Han and J. A. Wellner (2016) Multivariate convex regression: global risk bounds and adaptation. [arXiv]
 Q. Han and J. A. Wellner (2016) Approximation and estimation of sconcave densities via Rényi divergences. Ann. Statist., 44, 1332–1359. [arXiv]
 A. Jalali, Q. Han, I. Dumitriu and M. Fazel (2016) Relative density and exact recovery in general stochastic block models. NIPS 2016. [arXiv]
Teaching
 Instructor, STAT 652, Rutgers, Fall 2019.
 Instructor, STAT 653, Rutgers, Spring 2019.
 Instructor, STAT 593, Rutgers, Fall 2018.
 Instructor, STAT/MATH 491, UW, Fall 2017.