| dc.creator |
Kashif, Muhammad |
|
| dc.creator |
Aslam, Muhammad |
|
| dc.creator |
Jun, Chi-Hyuck |
|
| dc.creator |
Al-Marshadi, Ali Hussein |
|
| dc.creator |
Rao, Srinivasa G. |
|
| dc.date |
2020-11-25T08:27:13Z |
|
| dc.date |
2020-11-25T08:27:13Z |
|
| dc.date |
2017 |
|
| dc.date.accessioned |
2022-10-20T13:09:19Z |
|
| dc.date.available |
2022-10-20T13:09:19Z |
|
| dc.identifier |
Kashif, M., Aslam, M., Jun, C. H., Al-Marshadi, A. H., & Rao, G. S. (2017). The efficacy of process capability indices using median absolute deviation and their bootstrap confidence intervals. Arabian Journal for Science and Engineering, 42(11), 4941-4955. |
|
| dc.identifier |
DOI:10.1007/s13369-017-2699-4 |
|
| dc.identifier |
http://hdl.handle.net/20.500.12661/2621 |
|
| dc.identifier.uri |
http://hdl.handle.net/20.500.12661/2621 |
|
| dc.description |
Abstract. Full text article available at https://doi.org/10.1007/s13369-017-2699-4 |
|
| dc.description |
The process capability indices (PCIs) Cp and C pk are commonly used in industry to measure the process performance.The implementation of these indices required that
process should follow a normal distribution. However, in many cases the underlying processes are non-normal which influence the performance of these indices. In this paper, median absolute deviation (MAD)is used as a robust measure of variability in two PCIs, Cp and Cpk . Extensive simulation experiments were performed to evaluate the performance of MAD-based PCIs under low, moderate and high asymmetric condition of Weibull, Log-Normal and Gamma distributions. The point estimation of MAD-based estimator of Cp and Cpk is encouraging and showed a good result in case of Log-
Normal and Gamma distributions, whereas these estimators perform very well in case of Weibull distribution. The comparison of quantile method and MAD method showed that the performance of MAD-based PCIs is better for Weibull and Log-Normal processes under low and moderate asymmetric conditions, whereas its performance for Gamma distribution remained unsatisfactory. Four bootstrap confidence intervals (BCIs) such as standard (SB), percentile (PB), bias-corrected percentile (BCPB) and percentile-t (PTB) were constructed using quantile and MAD methods under all asymmetric conditions of three distributions under study. The bias-corrected percentile bootstrap confidence interval (BCPB) is recommended for a quantile (PC)-based PCIs, whereas CIs were recommended for MAD-based PCIs under all asymmetric conditions of Weibull, Log-Normal and Gamma distributions. A real-life example is also given to describe and validate the application of proposed methodology. |
|
| dc.language |
en |
|
| dc.publisher |
Springer |
|
| dc.subject |
Nonparametric confidence intervals |
|
| dc.subject |
Median absolute deviation |
|
| dc.subject |
MAD |
|
| dc.subject |
Percentile-t bootstrap (PTB) method |
|
| dc.subject |
PTB method |
|
| dc.subject |
Bias-corrected percentile |
|
| dc.subject |
BCPB |
|
| dc.subject |
Gamma distributions |
|
| dc.subject |
Performance |
|
| dc.title |
The efficacy of process capability indices using median absolute deviation and their bootstrap confidence intervals |
|
| dc.type |
Article |
|