TY - JOUR
T1 - Distribution of runs in a two-stage process monitoring model
AU - Lai, C. D.
AU - Chan, L. Y.
AU - Xie, M.
PY - 2001
Y1 - 2001
N2 - 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.
AB - 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.
KW - Cumulative quantity
KW - Nonconformity
KW - Run distribution
KW - Stastistical process control
KW - Two-stage control chart
UR - http://www.scopus.com/inward/record.url?scp=33749139154&partnerID=8YFLogxK
UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-33749139154&origin=recordpage
U2 - 10.1081/SAC-100105078
DO - 10.1081/SAC-100105078
M3 - 21_Publication in refereed journal
VL - 30
SP - 547
EP - 557
JO - Communications in Statistics Part B: Simulation and Computation
JF - Communications in Statistics Part B: Simulation and Computation
SN - 0361-0918
IS - 3
ER -