TY - JOUR
T1 - A bivariate zero-inflated Poisson control chart
T2 - comments and corrections on earlier results
AU - van den Heuvel, Edwin R.
AU - van Driel, Stephan A.W.
AU - Zhan, Zhuozhao
PY - 2022
Y1 - 2022
N2 - A bivariate zero-inflated Poisson control chart for rare events in an industrial process was presented in the paper of Fatahi et al. (2012). They used a specific copula to address the dependency between the bivariate counts. The copula that they provided did not satisfy the criteria for a copula when the correlation parameter is negative and they did not calculate the upper control limit for the sum of events correctly. We provide proper copula’s and upper control limits and also discuss their choice of parameter estimators. We illustrate our results with simulations.
AB - A bivariate zero-inflated Poisson control chart for rare events in an industrial process was presented in the paper of Fatahi et al. (2012). They used a specific copula to address the dependency between the bivariate counts. The copula that they provided did not satisfy the criteria for a copula when the correlation parameter is negative and they did not calculate the upper control limit for the sum of events correctly. We provide proper copula’s and upper control limits and also discuss their choice of parameter estimators. We illustrate our results with simulations.
KW - Copula
KW - Statistical process control
KW - Zero inflated Poisson distribution
UR - http://www.scopus.com/inward/record.url?scp=85081211201&partnerID=8YFLogxK
U2 - 10.1080/03610926.2020.1736304
DO - 10.1080/03610926.2020.1736304
M3 - Letter
AN - SCOPUS:85081211201
SN - 0361-0926
VL - 51
SP - 3438
EP - 3445
JO - Communications in Statistics : Theory and Methods
JF - Communications in Statistics : Theory and Methods
IS - 10
ER -