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Title: Distribution of runs in a two-stage process monitoring model
Authors: Lai, C.D.
Chan, L.Y.
Xie, M. 
Keywords: Cumulative quantity
Run distribution
Stastistical process control
Two-stage control chart
Issue Date: 2001
Citation: Lai, C.D.,Chan, L.Y.,Xie, M. (2001). Distribution of runs in a two-stage process monitoring model. Communications in Statistics Part B: Simulation and Computation 30 (3) : 547-557. ScholarBank@NUS Repository.
Abstract: In statistical process control, procedures similar to double sampling technique can be used to incorporate information from two observations. This leads to the study of the distribution of runs. In this paper, a run is defined as the number of nonconformities observed until an alarm when the twostage procedure is used. The exact distribution of run and the average quantity inspected between alarms are derived and we also obtain some analytical results concerning the expected value of some interesting related quantities.
Source Title: Communications in Statistics Part B: Simulation and Computation
ISSN: 03610918
Appears in Collections:Staff Publications

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