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A NONPARAMETRIC CONTROL CHART FOR JOINT MONITORING OF LOCATION AND SCALE

A NONPARAMETRIC CONTROL CHART FOR JOINT MONITORING OF LOCATION AND SCALE

Authors :
Vijaykumar Ghadage
Ghute, Vikas
Publication Year :
2023
Publisher :
Reliability: Theory & Applications, 2023.

Abstract

Traditional control charts are based on the assumption that the process observations are normally distributed. However, in many applications, there is insufficient information to justify this assumption. Thus, nonparametric control charts have been designed in literature to monitor location parameter and scale parameter of a process. In this paper, a single nonparametric control chart based on modified Lepage test is proposed for simultaneously monitoring of location and scale parameters of any continuous process distribution. The charting statistic combines two nonparametric test statistics namely Baumgartner test for location and Ansari-Bradely test for scale. The performance of the proposed chart is examined through simulation studies in terms of the mean, the standard deviation, the median and some percentiles of the run length distribution. The average run length (ARL) performance of the proposed chart is compared with that of the existing nonparametric Shewhart-Cucconi (SC) and Shewhart-Lepage (SL) charts for joint monitoring of location and scale.

Details

Database :
OpenAIRE
Accession number :
edsair.doi...........86d37afa77ddf53c67dee8346b2d67a4
Full Text :
https://doi.org/10.24412/1932-2321-2023-172-553-563