Distribution of runs in a two-stage process monitoring model

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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Original languageEnglish
Pages (from-to)547-557
Journal / PublicationCommunications in Statistics Part B: Simulation and Computation
Issue number3
Publication statusPublished - 2001
Externally publishedYes


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.

Research Area(s)

  • Cumulative quantity, Nonconformity, Run distribution, Stastistical process control, Two-stage control chart