Exact Average Run Lengths for Monitoring Poisson Counts

DOI10.1080/03610926.2013.784997zbMath1338.62055OpenAlexW2092806936MaRDI QIDQ2807604

Michael A. A. Cox

Publication date: 25 May 2016

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610926.2013.784997

zbMATH Keywords

rare eventsqualityPoissoncontrol chartsaverage run length

Mathematics Subject Classification ID

Applications of statistics to biology and medical sciences; meta analysis (62P10) Nonparametric estimation (62G05) Applications of statistics in engineering and industry; control charts (62P30) Exact distribution theory in statistics (62E15)

Cites Work

• A generalized quality control procedure
• Improved bounds for the average run length of control charts based on finite weighted sums
• Control charts based on weighted sums
• Is Average Run Length to False Alarm Always an Informative Criterion?
• Sampling inspection of continuous processes with no autocorrelation between successive results
• Continuous-time estimation of A change-point in a poisson process
• An Investigation of Changepoints in the Annual Number of Cases of Haemolytic Uraemic Syndrome
• An approach to the probability distribution of cusum run length

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