np-charts, Bootstrap; Average of ARL (AARL); Average run length (ARL); Effect of estimation error; Standard deviation of ARL (SDARL)
Abstract :
[en] In this paper, we evaluate the in-control performance of np-control charts with estimated parameters. We then apply the bootstrap method to adjust the control charts’ limits to guarantee the desired in-control average run length (ARL0) value in monitoring stage. The adjusted limits ensure that ARL0 would take a value greater than the desired value (say, B) with a certain specified probability, that is Pr(ARL_0>B)=1-ρ. We finally provide users with tables which with practitioners do not need to do bootstrapping Phase I data set to obtain the control limit thresholds.
Disciplines :
Quantitative methods in economics & management
Author, co-author :
Faraz, Alireza ; Université de Liège > HEC-Ecole de gestion : UER > Statistique appliquée à la gestion et à l'économie
Heuchenne, Cédric ; Université de Liège > HEC-Ecole de gestion : UER > Statistique appliquée à la gestion et à l'économie
Language :
English
Title :
The np- Control Charts with the Guaranteed In-Control Performance
