A control chart based on weighted bootstrap with strata

ABSTRACT

The study proposes a weighted bootstrap control chart based on the strata and determines suitable weights for each stratum by measuring the relative error of estimated Type I risks (Err). In addition to validating the detection effectiveness of the proposed control chart, this study also compares several types of control charts for detecting the Type I, Type II risks, and median run lengths. The proposed control chart shows superior detection effectiveness in six skewed distributions compared to other types of control charts.

KEYWORDS:

• Bootstrap
• Skewed distributions
• Strata
• Weight

MATHEMATICS SUBJECT CLASSIFICATION:

• Primary 62P30
• Secondary 62F10

Acknowledgments

The author would like to thank the editor and the referees for their helpful suggestions that led to a clear presentation of my work, and the Ministry of Science and Technology of the Republic of China, Taiwan, for financially supporting this research under Contract No. MOST 105-2410-H-244-002.

Additional information

Funding

Ministry of Science and Technology of the Republic of China, Taiwan(MOST 105-2410-H-244-002)