Abstract
A variable quality characteristic is assumed to follow the new weibull-Pareto distribution. Based on the evaluated percentiles of sample statistic like mean, median, midrange, range and standard deviation, the control limits for the respective control charts are developed . The admissibility and power of the control limits is assessed in comparison with those based on the popular Shewhart control limits.
Highlights
The well-known Shewhart control charts are developed under the assumption that the quality characteristic follows a normal distribution
If x1, x2,.. xn is a collection of observations of size n on a variable quality characteristic of a product and if tn is a statistic based on this sample, the control limits of Shewhart variable control chart are E(tn)±3S.E(tn)
We present the construction of quality control charts when the process variate is assumed to follow the new Weibull-Pareto distribution
Summary
The well-known Shewhart control charts are developed under the assumption that the quality characteristic follows a normal distribution. In this paper we assume that the quality variate follows the new Weibull-Pareto model and develop control limits for such data on par with the presently available control limits. If a distribution other than normal is a suitable model for a quality variate, separate procedures are to be developed. We present the construction of quality control charts when the process variate is assumed to follow the new Weibull-. (2) if β > 1, the hazard is an increasing function, which makes the NWPD suitable for modeling components that wears faster with time. (3) if β < 1, the hazard is a decreasing function, which makes the NWPD suitable for modeling components that wears slower with time.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Pakistan Journal of Statistics and Operation Research
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
