skip to main content


Search for: All records

Creators/Authors contains: "Song, H."

Note: When clicking on a Digital Object Identifier (DOI) number, you will be taken to an external site maintained by the publisher. Some full text articles may not yet be available without a charge during the embargo (administrative interval).
What is a DOI Number?

Some links on this page may take you to non-federal websites. Their policies may differ from this site.

  1. Zdravkovic L, Kontoe S (Ed.)
    Free, publicly-accessible full text available June 22, 2024
  2. Free, publicly-accessible full text available May 1, 2024
  3. We study the bias of the isotonic regression estimator. While there is extensive work characterizing the mean squared error of the iso- tonic regression estimator, relatively little is known about the bias. In this paper, we provide a sharp characterization, proving that the bias scales as O(n−β/3) up to log factors, where 1 ≤ β ≤ 2 is the exponent correspond- ing to H ̈older smoothness of the underlying mean. Importantly, this result only requires a strictly monotone mean and that the noise distribution has subexponential tails, without relying on symmetric noise or other restrictive assumptions. 
    more » « less