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ON THE LIMITING DISTRIBUTION FOR ESTIMATE OF PROCESS CAPABILITY INDEX  

Park, Hyo-Il (Department of Statistics, Chong-ju University)
Cho, Joong-Jae (Department of Information Statistics, Chungbuk National University)
Publication Information
Journal of the Korean Statistical Society / v.36, no.4, 2007 , pp. 471-477 More about this Journal
Abstract
In this paper, we provide a new proof to correct the asymptotic normality for the estimate $\hat{C}_{pmk}\;of\;C_{pmk}$, which is one of the well-known definitions of the process capability index. Also we comment briefly on the correction of the limiting distribution for $\hat{C}_{pmk}$ and on the use of re-sampling methods for the inference of $C_{pmk}$. Finally we discuss the concept of asymptotic unbiasedness.
Keywords
Asymptotic normality; consistency;
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