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

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.

• Average Run Length
• Bernoulli CUSUM
• Risk-Adjustment
• Statistical Process Control
• Surgical Outcomes

Additional information

Notes on contributors

Fadel M. Megahed

Mr. Megahed is a Ph.D. Candidate in the Grado Department of Industrial and Systems Engineering. He is a Member of ASQ. His email address is [email protected].

Jennifer L. K. Kensler

Ms. Kensler is a Ph.D. Candidate in the Department of Statistics. Her email address is [email protected].

Khaled Bedair

Mr. Bedair is a Ph.D. Candidate in the Department of Statistics. His email address is [email protected].

William H. Woodall

Dr. Woodall is a Professor in the Department of Statistics. He is a Fellow of ASQ. His email address is [email protected].