Bootstrap confidence intervals of the difference between two process capability indices for half logistic distribution.

Wararit Panichkithosolkul; Somchit Wattanachayakul

No Detail Found!

Bootstrap confidence intervals of the difference between two process capability indices for half logistic distribution.

Author(s)

Wararit Panichkithosolkul Department of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University, PhathumThani, Thailand

Somchit Wattanachayakul Department of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University, PhathumThani, Thailand

Abstract

The process capability indices are important numerical measures in statistical quality control. Well-known process capability indices are constructed under the process distribution is normal. Unfortunately, this situation is rather not realistic. This paper focuses on the half logistic distribution. The bootstrap confidence intervals for the difference between two process capability indices for the mentioned distribution are proposed. The bootstrap confidence intervals considered in this paper consist of the standard bootstrap confidence interval, the percentile bootstrap confidence interval and the bias-corrected percentile bootstrap confidence interval. A Monte Carlo simulation has been used to investigate the estimated coverage probabilities and average widths of the percentile bootstrap confidence interval and the bias-corrected percentile bootstrap confidence interval get closer to the nominal confidence level than those of the standard bootstrap confidence interval.

Publication Details

Page(s) 879-894

DOI DOI not available

Published Journal: Pakistan Journal of Statistics and Operation Research, Volume: 8, Issue: 4, Year: 2012

Request the full text from PASTIC

Citations

Downloads

Views