English

Stein EWMA Control Charts for Count Processes

Methodology 2024-01-23 v1

Abstract

The monitoring of serially independent or autocorrelated count processes is considered, having a Poisson or (negative) binomial marginal distribution under in-control conditions. Utilizing the corresponding Stein identities, exponentially weighted moving-average (EWMA) control charts are constructed, which can be flexibly adapted to uncover zero inflation, over- or underdispersion. The proposed Stein EWMA charts' performance is investigated by simulations, and their usefulness is demonstrated by a real-world data example from health surveillance.

Cite

@article{arxiv.2401.11789,
  title  = {Stein EWMA Control Charts for Count Processes},
  author = {Christian H. Weiß},
  journal= {arXiv preprint arXiv:2401.11789},
  year   = {2024}
}
R2 v1 2026-06-28T14:23:17.108Z