Asymptotic analysis of estimators for CNp(u, v) based on quantile estimators

Sy Mien Chen, Yu Sheng Hsu

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


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.

Original languageEnglish
Pages (from-to)137-150
Number of pages14
JournalJournal of Nonparametric Statistics
Issue number2
StatePublished - Apr 2003


  • Asymptotic distribution
  • Process capability index
  • Quantile estimator
  • Specification limits


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