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Bibliographic Details
Main Author: Weiß, Christian H.
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2401.11789
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author Weiß, Christian H.
author_facet Weiß, Christian H.
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2401_11789
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Stein EWMA Control Charts for Count Processes
Weiß, Christian H.
Methodology
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.
title Stein EWMA Control Charts for Count Processes
topic Methodology
url https://arxiv.org/abs/2401.11789