A Note on the ARL of Two-Sided Bernoulli-Based CUSUM Control Charts

Fadel M. Megahed · Jennifer L. K. Kensler · Khaled Bedair · William H. Woodall

17 citations0/0 files storedJournal of Quality Technology

No readable copy stored yet — this record is metadata only.

No open-access location is known for this record yet.

Literature note Cite in a project Citation map

Advanced Statistical Process Monitoring Probability and Statistical Research Fault Detection and Control Systems

Abstract

In this article, we examine the average run length (ARL) properties of two types of two-sided Bernoulli cumulative sum (CUSUM) control charts. In particular, we give the conditions under which the ARL of the two-sided Bernoulli CUSUM chart can be determined exactly from the ARLs of the corresponding upper and lower Bernoulli CUSUM charts. This ARL relationship is established for both the standard industrial application and the risk-adjusted health-care monitoring application.

Paper brief

Loading…

Cite this work

Citation unavailable for this work.

BibTeX RIS CSL-JSON

No public copy is stored for this record, so only the metadata is cited.

Citations in this library

Citation map →

Stored only when both papers are in the corpus — 17 citations exist upstream.

References

1954CONTINUOUS INSPECTION SCHEMES 2006The Use of Control Charts in Health-Care and Public-Health Surveillance 2000Monitoring surgical performance using risk-adjusted cumulative sum charts 2003Use of risk-adjusted CUSUM and RSPRTcharts for monitoring in medical contexts 1999A CUSUM Chart for Monitoring a Proportion When Inspecting Continuously 2004An Overview of Risk-Adjusted Charts 1984On the Markov Chain Approach to the Two-Sided CUSUM Procedure 1961The Average Run Length of the Cumulative Sum Chart When a V-Mask is Used

Cited by

2021Residuals based EWMA control charts with risk adjustments for zero‐inflated Poisson models

Explore the map →

Papers that cite the same references — the relational fallback while embeddings are still backfilling.

Imported from OpenAlex (CC0) — nothing here is generated.