English

hermiter: R package for Sequential Nonparametric Estimation

Computation 2023-07-04 v4

Abstract

This article introduces the R package hermiter which facilitates estimation of univariate and bivariate probability density functions and cumulative distribution functions along with full quantile functions (univariate) and nonparametric correlation coefficients (bivariate) using Hermite series based estimators. The algorithms implemented in the hermiter package are particularly useful in the sequential setting (both stationary and non-stationary) and one-pass batch estimation setting for large data sets. In addition, the Hermite series based estimators are approximately mergeable allowing parallel and distributed estimation.

Keywords

Cite

@article{arxiv.2111.14091,
  title  = {hermiter: R package for Sequential Nonparametric Estimation},
  author = {Michael Stephanou and Melvin Varughese},
  journal= {arXiv preprint arXiv:2111.14091},
  year   = {2023}
}

Comments

33 pages plus references, 11 figures. Incorporates journal reviewer and editor comments. As appears in Computational Statistics

R2 v1 2026-06-24T07:54:35.023Z