Paper Info
Title
Design of Gamma Charts Based on Average Time to Signal.
Abstract
Gamma charts for time between events are very useful in the high-quality processes, which monitor the time until the rth event. The average time to signal (ATS) is adopted to evaluate the performance of Gamma charts, because it reflects both the number and the sampling interval of samples inspected until an out-of-control signal occurs. An ATS-unbiased design for Gamma charts with known parameters is proposed based on the hypothesis test of the scale parameter. For the phase I monitoring, a new ATS-unbiased design with unknown parameters is developed, and a sequential sampling scheme is adopted to start process monitoring as soon as possible. Some specific guidelines to stop updating the control limits are suggested from the convergence of the width between control limits with different phase I sample sizes. Finally, a real example is illustrated to demonstrate the implementation of the proposed approach. Copyright (c) 2015 John Wiley & Sons, Ltd.
Year
DOI
Venue
2016
10.1002/qre.1813
QUALITY AND RELIABILITY ENGINEERING INTERNATIONAL
Keywords
Field
DocType
time between events,Gamma distribution,average time to signal (ATS),ATS-unbiased design,(2) distribution
Econometrics,Sequential sampling,Convergence (routing),Control limits,Sampling interval,Computer science,Gamma distribution,Statistics,Sample size determination,Scale parameter,Statistical hypothesis testing
Journal
Volume
Issue
ISSN
32
3
0748-8017
Citations 
PageRank 
References 
6
0.59
7
Authors
4
Name
Order
Citations
PageRank
Jun Yang1447.91
Huan Yu24613.63
Yuan Cheng371.31
M. Xie426025.86