Quasi-stationarity of CUSUM schemes for Erlang distributions

Quasi-stationarity of CUSUM schemes for Erlang distributions

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Article ID: iaor19993221
Country: Germany
Volume: 48
Issue: 1
Start Page Number: 31
End Page Number: 48
Publication Date: Jan 1998
Journal: Metrika
Authors:
Keywords: cusum charts
Abstract:

Given that no false alarm was made, the CUSUM process behaves like a stationary process. The corresponding transition density is derived for Erlang distributed random variables. Then a representation for the so-called average delay and a geometric approximation for the CUSUM run length distribution is obtained.

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