52 citations · 158 across the 17 of their papers we have counts for
18 papers
Tight Non-asymptotic Inference via Sub-Gaussian Intrinsic Moment Norm
Huiming Zhang, Haoyu Wei, Guang Cheng
In non-asymptotic learning, variance-type parameters of sub-Gaussian distributions are of paramount importance. However, directly estimating these parameters using the empirical mo…
High-dimensional Inference and FDR Control for Simulated Markov Random Fields
Haoyu Wei, Xiaoyu Lei, Yixin Han +1
Identifying important features linked to a response variable is a fundamental task in various scientific domains. This article explores statistical inference for simulated Markov r…
Directional FDR Control for Sub-Gaussian Sparse GLMs
Chang Cui, Jinzhu Jia, Yijun Xiao +1
High-dimensional sparse generalized linear models (GLMs) have emerged in the setting that the number of samples and the dimension of variables are large, and even the dimension of…
Sharper Sub-Weibull Concentrations
Huiming Zhang, Haoyu Wei
Constant-specified and exponential concentration inequalities play an essential role in the finite-sample theory of machine learning and high-dimensional statistics area. We obtain…
Concentration Inequalities for Statistical Inference
Huiming Zhang, Song Xi Chen
This paper gives a review of concentration inequalities which are widely employed in non-asymptotical analyses of mathematical statistics in a wide range of settings, from distribu…
Optimal Distributed Subsampling for Maximum Quasi-Likelihood Estimators with Massive Data
Jun Yu, HaiYing Wang, Mingyao Ai +1
Nonuniform subsampling methods are effective to reduce computational burden and maintain estimation efficiency for massive data. Existing methods mostly focus on subsampling with r…
Asymptotic Theory for Differentially Private Generalized -models with Parameters Increasing
Yifan Fan, Huiming Zhang, Ting Yan
Modelling edge weights play a crucial role in the analysis of network data, which reveals the extent of relationships among individuals. Due to the diversity of weight information,…
Sparse Density Estimation with Measurement Errors
Xiaowei Yang, Huiming Zhang, Haoyu Wei +1
This paper aims to build an estimate of an unknown density of the data with measurement error as a linear combination of functions from a dictionary. Inspired by the penalization a…
Law of the Iterated Logarithm and Model Selection Consistency for GLMs with Independent and Dependent Responses
Xiaowei Yang, Shuang Song, Huiming Zhang
We study the law of the iterated logarithm (LIL) for the maximum likelihood estimation of the parameters (as a convex optimization problem) in the generalized linear models with in…
Some Characterizations and Properties of COM-Poisson Random Variables
Bo Li, Huiming Zhang, Jiao He
This paper introduces some new characterizations of COM-Poisson random variables. First, it extends Moran-Chatterji characterization and generalizes Rao-Rubin characterization of P…
Optimal Subsampling Algorithms for Big Data Regressions
Mingyao Ai, Jun Yu, Huiming Zhang +1
To fast approximate maximum likelihood estimators with massive data, this paper studies the Optimal Subsampling Method under the A-optimality Criterion (OSMAC) for generalized line…
A note on "MLE in logistic regression with a diverging dimension"
Huiming Zhang
This short note is to point the reader to notice that the proof of high dimensional asymptotic normality of MLE estimator for logistic regression under the regime given…
Elastic-net Regularized High-dimensional Negative Binomial Regression: Consistency and Weak Signals Detection
Huiming Zhang, Jinzhu Jia
We study a sparse negative binomial regression (NBR) for count data by showing the non-asymptotic advantages of using the elastic-net estimator. Two types of oracle inequalities ar…
Compound Poisson Point Processes, Concentration and Oracle Inequalities
Huiming Zhang, Xiaoxu Wu
This note aims at presenting several new theoretical results for the compound Poisson point process, which follows the work of Zhang \emph{et al.} [Insurance~Math.~Econom.~59(2014)…
The COM-negative binomial distribution: modeling overdispersion and ultrahigh zero-inflated count data
Huiming Zhang, Kai Tan, Bo Li
In this paper, we focus on the COM-type negative binomial distribution with three parameters, which belongs to COM-type class distributions and family of equilibrium dist…
A characterization of signed discrete infinitely divisible distributions
Huiming Zhang, Bo Li, G. Jay Kerns
In this article, we give some reviews concerning negative probabilities model and quasi-infinitely divisible at the beginning. We next extend Feller's characterization of discrete…
Characterizations and Infinite Divisibility of Extended COM-Poisson Distribution
Huiming Zhang
This article provides some characterizations of extended COM-Poisson distribution: conditional distribution given the sum, functional operator characterization (Stein identity). We…
Some Properties of the Generalized Stuttering Poisson Distribution and its Applications
Huiming Zhang, Lili Chu, Yu Diao
Based on the probability generating function of stuttering Poisson distribution (SPD), this paper considers some equivalent propositions of SPD. From this, we show that some distri…