A framework for nonparametric profile monitoring

作者：Chuang Shih Chung; Hung Ying Chao; Tsai Wen Chi; Yang Su Fen^*

来源：Computers & Industrial Engineering, 2013, 64(1): 482-491.

DOI：10.1016/j.cie.2012.08.006

• Nonparametric profile monitoring
• B-spline
• Block bootstrap
• Confidence band
• Curve depth

Control charts have been widely used for monitoring the functional relationship between a response variable and some explanatory variable(s) (called profile) in various industrial applications. In this article, we propose an easy-to-implement framework for monitoring nonparametric profiles in both Phase I and Phase II of a control chart scheme. The proposed framework includes the following steps: (i) data cleaning; (ii) fitting B-spline models; (iii) resampling for dependent data using block bootstrap method; (iv) constructing the confidence band based on bootstrap curve depths; and (v) monitoring profiles online based on curve matching. It should be noted that, the proposed method does not require any structural assumptions on the data and, it can appropriately accommodate the dependence structure of the within-profile observations. We illustrate and evaluate our proposed framework by using a real data set.

• 出版日期2013-1
• 单位清华大学