TY - JOUR
T1 - New V control chart for the Maxwell distribution
AU - Hossain, M. Pear
AU - Omar, M. Hafidz
AU - Riaz, Muhammad
PY - 2017
Y1 - 2017
N2 - Control charts have been popularly used as a user-friendly yet technically
sophisticated tool to monitor whether a process is in statistical control or
not. These charts are basically constructed under the normality assumption.
But in many practical situations in real life this normality assumption may be
violated. One such non-normal situation is to monitor the process variability
from a skewed parent distribution where we propose the use of a Maxwell
control chart. We introduce a pivotal quantity for the scale parameter of the
Maxwell distribution which follows a gamma distribution. Probability limits and L-sigma limits are studied along with performance measure based
on average run length and power curve. To avoid the complexity of future
calculations for practitioners, factors for constructing control chart for monitoring the Maxwell parameter are given for different sample sizes and for
different false alarm rate. We also provide simulated data to illustrate the
Maxwell control chart. Finally, a real life example has been given to show
the importance of such a control chart.
AB - Control charts have been popularly used as a user-friendly yet technically
sophisticated tool to monitor whether a process is in statistical control or
not. These charts are basically constructed under the normality assumption.
But in many practical situations in real life this normality assumption may be
violated. One such non-normal situation is to monitor the process variability
from a skewed parent distribution where we propose the use of a Maxwell
control chart. We introduce a pivotal quantity for the scale parameter of the
Maxwell distribution which follows a gamma distribution. Probability limits and L-sigma limits are studied along with performance measure based
on average run length and power curve. To avoid the complexity of future
calculations for practitioners, factors for constructing control chart for monitoring the Maxwell parameter are given for different sample sizes and for
different false alarm rate. We also provide simulated data to illustrate the
Maxwell control chart. Finally, a real life example has been given to show
the importance of such a control chart.
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U2 - 10.1080/00949655.2016.1222391
DO - 10.1080/00949655.2016.1222391
M3 - RGC 21 - Publication in refereed journal
VL - 87
SP - 594
EP - 606
JO - Journal of Statistical Computation and Simulation
JF - Journal of Statistical Computation and Simulation
SN - 0094-9655
IS - 3
ER -