activity
20092021
most citedIterated Bernstein polynomial approximations

5 citations · 10 across the 9 of their papers we have counts for

collaborators

9 papers

stat.ME2021

Maximum Approximate Bernstein Likelihood Estimation of Densities in a Two-sample Semiparametric Model

Zhong Guan

Maximum likelihood estimators are proposed for the parameters and the densities in a semiparametric density ratio model in which the nonparametric baseline density is approximated…

math.ST2019★ 1 cited

Maximum Approximate Likelihood Estimation in Accelerated Failure Time Model for Interval-Censored Data

Zhong Guan

The approximate Bernstein polynomial model, a mixture of beta distributions, is applied to obtain maximum likelihood estimates of the regression coefficients, and the baseline dens…

stat.ME2019

Maximum Approximate Bernstein Likelihood Estimation in Proportional Hazard Model for Interval-Censored Data

Zhong Guan

Maximum approximate Bernstein likelihood estimates of the baseline density function and the regression coefficients in the proportional hazard regression models based on interval-c…

stat.ME2019★ 1 cited

Bernstein Polynomial Model for Nonparametric Multivariate Density

Tao Wang, Zhong Guan

In this paper, we study the Bernstein polynomial model for estimating the multivariate distribution functions and densities with bounded support. As a mixture model of multivariate…

math.CA2016

Improvement of a Theorem of Lorentz (1963) and its Generalization to the Multivariate Case

Zhong Guan, Tao Wang

In this short note we have proved an enhanced version of a theorem of Lorentz [1] and its generalization to the multivariate case which gives a non- uniform estimate of degree of a…

stat.ME2016★ 1 cited

Accelerated Nonparametric Maximum Likelihood Density Deconvolution Using Bernstein Polynomial

Zhong Guan

A new maximum likelihood method for deconvoluting a continuous density with a positive lower bound on a known compact support in additive measurement error models with known error…