TY - JOUR
T1 - Asymptotic analysis of estimators for CNp(u, v) based on quantile estimators
AU - Chen, Sy Mien
AU - Hsu, Yu Sheng
N1 - Funding Information:
The authors appreciate two referees’ and editor’s comments from which the presentation of this article is greatly improved. The research of the first author was partially supported by Grant NSC 88-2118-M030-001, National Science Council, Taiwan, Republic of China.
PY - 2003/4
Y1 - 2003/4
N2 - Pearn and Chen (1997) proposed a class of capability indices CNp(u, v) which generalize the process capability indices Cp(u, v) (Vännman, 1995) to accommodate cases where the underlying distributions may not be normal. The current indices CNp(u, v) are functions of quantiles which may not be known. In this article, we apply some existing quantile estimators to estimate the class of indices CNp(u, v). It is shown that the estimators of CNp(u, v) we propose are all asymptotically normally distributed and equivalent and can perform better than the estimated Cp(u, v) in some instances.
AB - Pearn and Chen (1997) proposed a class of capability indices CNp(u, v) which generalize the process capability indices Cp(u, v) (Vännman, 1995) to accommodate cases where the underlying distributions may not be normal. The current indices CNp(u, v) are functions of quantiles which may not be known. In this article, we apply some existing quantile estimators to estimate the class of indices CNp(u, v). It is shown that the estimators of CNp(u, v) we propose are all asymptotically normally distributed and equivalent and can perform better than the estimated Cp(u, v) in some instances.
KW - Asymptotic distribution
KW - Process capability index
KW - Quantile estimator
KW - Specification limits
UR - http://www.scopus.com/inward/record.url?scp=0038170022&partnerID=8YFLogxK
U2 - 10.1080/1048525031000089338
DO - 10.1080/1048525031000089338
M3 - 期刊論文
AN - SCOPUS:0038170022
SN - 1048-5252
VL - 15
SP - 137
EP - 150
JO - Journal of Nonparametric Statistics
JF - Journal of Nonparametric Statistics
IS - 2
ER -