Adaptive Phase II Nonparametric EWMA Control Chart with Variable Sampling Interval

In this paper, we provide an adaptive Phase II nonparametric exponentially weighed moving average control chart using variable sampling interval for detecting a range of shifts in the location parameter. This chart is an adaptive one and has a variable sampling interval, which makes it more efficient. Further, it is a self-starting scheme and thus can be used to monitor processes at the start-up stages. The choice of the chart parameters is studied, and a simulation study demonstrates that the proposed control chart not only performs robustly for different distributions, but also efficiently detects various magnitudes of shifts. An illustrative example is given to introduce the implementation of this proposed control chart. Copyright © 2014 John Wiley & Sons, Ltd.

[1]  Zhonghua Li,et al.  Adaptive CUSUM control chart with variable sampling intervals , 2009, Comput. Stat. Data Anal..

[2]  S. Chakraborti,et al.  Nonparametric Control Charts: An Overview and Some Results , 2001 .

[3]  Zhonghua Li,et al.  Cusum of Q chart with variable sampling intervals for monitoring the process mean , 2010 .

[4]  J. A. Nachlas,et al.  X charts with variable sampling intervals , 1988 .

[5]  Charles P. Quesenberry,et al.  DPV Q charts for start-up processes and short or long runs , 1991 .

[6]  Douglas M. Hawkins,et al.  A Nonparametric Change-Point Control Chart , 2010 .

[7]  Liu Liu,et al.  A Sequential Rank-Based Nonparametric Adaptive EWMA Control Chart , 2013, Commun. Stat. Simul. Comput..

[8]  Mervyn J. Silvapulle,et al.  Beyond Parametrics in Interdisciplinary Research: Festschrift in Honor of Professor Pranab K. Sen , 2008 .

[9]  Jianjun Shi,et al.  Stream of Variation Modeling and Analysis for Multistage Manufacturing Processes , 2006 .

[10]  A. K. McCracken,et al.  Control Charts for Joint Monitoring of Mean and Variance: An Overview , 2013 .

[11]  J. Ledolter,et al.  A Control Chart Based on Ranks , 1991 .

[12]  S. Chakraborti Nonparametric (Distribution-Free) Quality Control Charts† , 2011 .

[13]  Subhabrata Chakraborti,et al.  A nonparametric control chart based on the Mann-Whitney statistic , 2003 .

[14]  Fugee Tsung,et al.  Monitoring autocorrelated processes using variable sampling schemes at fixed-times , 2008, Qual. Reliab. Eng. Int..

[15]  Peihua Qiu,et al.  On Nonparametric Statistical Process Control of Univariate Processes , 2011, Technometrics.

[16]  P Laanvander,et al.  A class of distribution‐free control charts , 2004 .

[17]  Amitava Mukherjee,et al.  A New Distribution‐free Control Chart for Joint Monitoring of Unknown Location and Scale Parameters of Continuous Distributions , 2014, Qual. Reliab. Eng. Int..

[18]  Fugee Tsung,et al.  Likelihood Ratio-Based Distribution-Free EWMA Control Charts , 2010 .

[19]  Peihua Qiu,et al.  Distribution-free monitoring of univariate processes , 2011 .

[20]  Changliang Zou,et al.  Nonparametric control chart based on change-point model , 2009 .