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Estimating and Testing Quantile-based Process Capability Indices for Processes with Skewed Distributions
並列摘要
This article extends the recent work of Vännman and Albing (2007) regarding the new family of quantile based process capability indices (qPCI) C(subscript MA) (τ,υ). We develop both asymptotic parametric and nonparametric confidence limits and testing procedures of C(subscript MA) (τ,υ). The kernel density estimator of process was proposed to find the consistent estimator of the variance of the nonparametric consistent estimator of C(subscript MA) (τ,υ). Therefore, the proposed procedure is ready for practical implementation to any processes. Illustrative examples are also provided to show the steps of implementing the proposed methods directly on the real-life problems. We also present a simulation study on the sample size required for using asymptotic results.
被引用紀錄
延伸閱讀
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