41 citations · 58 across the 8 of their papers we have counts for
5 papers · 1 filter
Concave regression: value-constrained estimation and likelihood ratio-based inference
Charles R. Doss
We propose a likelihood ratio statistic for forming hypothesis tests and confidence intervals for a nonparametrically estimated univariate regression function, based on the shape r…
Univariate log-concave density estimation with symmetry or modal constraints
Charles R. Doss, Jon A. Wellner
We study nonparametric maximum likelihood estimation of a log-concave density function which is known to satisfy further constraints, where either (a) the mode of i…
Inference for a Two-Component Mixture of Symmetric Distributions under Log-Concavity
Fadoua Balabdaoui, Charles R. Doss
In this article, we revisit the problem of estimating the unknown zero-symmetric distribution in a two-component location mixture model, considered in previous works, now under the…
Global Rates of Convergence of the MLEs of Log-concave and s-concave Densities
Charles R. Doss, Jon A. Wellner
We establish global rates of convergence for the Maximum Likelihood Estimators (MLEs) of log-concave and -concave densities on . The main finding is that the rate of…
Markov Chain Monte Carlo Estimation of Quantiles
Charles Doss, James M. Flegal, Galin L. Jones +1
We consider quantile estimation using Markov chain Monte Carlo and establish conditions under which the sampling distribution of the Monte Carlo error is approximately Normal. Furt…