A stopping rule is proposed for the SETS scheme (Chen, 1978). The method of generating functions and partial fractions are applied to the theory of the success runs. Under the hypothesis that a change in intensity of a Poisson process occurs very far from the origin of the observations, two different expressions are derived for the average delay in detecting increases in birth defect rates. Comparisons are made with the CUSUM scheme, which appears to be more efficient than the SETS scheme, in detecting increases in malformation rates.
On stopping rules for the SETS schemes: an application of the success runs theory
CAPIZZI, GIOVANNA
1994
Abstract
A stopping rule is proposed for the SETS scheme (Chen, 1978). The method of generating functions and partial fractions are applied to the theory of the success runs. Under the hypothesis that a change in intensity of a Poisson process occurs very far from the origin of the observations, two different expressions are derived for the average delay in detecting increases in birth defect rates. Comparisons are made with the CUSUM scheme, which appears to be more efficient than the SETS scheme, in detecting increases in malformation rates.
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