TY - JOUR
T1 - Capability measures for m-dependent stationary processes
AU - Chen, Sy Mien
AU - Hsu, Yu Sheng
AU - Pearn, W. L.
PY - 2003/3
Y1 - 2003/3
N2 - Process capability indices, providing numerical measures on process potential and process performance, have received substantial research attention. Most research assumes that the process is normally distributed and the process data are independent. In real-world applications such as chemical, soft drinks, or tobacco/cigarette manufacturing processes, process data are often auto-correlated. In this paper, we consider the capability indices Cp, Cpk, Cpm, Cpmk for strictly m-dependent stationary processes. We investigate the statistical properties of their natural estimators. We derive the asymptotic distributions, and establish confidence intervals so that capability testing can be performed.
AB - Process capability indices, providing numerical measures on process potential and process performance, have received substantial research attention. Most research assumes that the process is normally distributed and the process data are independent. In real-world applications such as chemical, soft drinks, or tobacco/cigarette manufacturing processes, process data are often auto-correlated. In this paper, we consider the capability indices Cp, Cpk, Cpm, Cpmk for strictly m-dependent stationary processes. We investigate the statistical properties of their natural estimators. We derive the asymptotic distributions, and establish confidence intervals so that capability testing can be performed.
KW - Asymptotic distribution
KW - Auto-correlated process
KW - Process capability index
KW - Strictly m-dependent stationary process
UR - http://www.scopus.com/inward/record.url?scp=0038521417&partnerID=8YFLogxK
U2 - 10.1080/0233188021000004648
DO - 10.1080/0233188021000004648
M3 - 期刊論文
AN - SCOPUS:0038521417
SN - 0233-1888
VL - 37
SP - 145
EP - 168
JO - Statistics
JF - Statistics
IS - 2
ER -