Far East Journal of Theoretical Statistics
Volume 3, Issue 1, Pages 67 - 80
(July 1999)
|
|
THE PROBABILITY DENSITY FUNCTION OF THE ESTIMATED PROCESS
CAPABILIT INDEX
W. L. Pearn (Taiwan, R. O. C.), K. S. Chen (Taiwan, R. O. C.) and P. C. Lin (Taiwan., R. O. C.)
|
Abstract: The process capability index
has been widely used in manufacturing industry to provide numerical measures of
process potential and performance. Pearn and chen [8] proposed a generalization
and showed that the generalization is
superior to the original index
and other existing generalizations for processes with asymmetric tolerance. Pear
and Chen [8] also considered the natural estimator of
and obtained the expected value and the variance of the natural estimator of .
In this paper, we derive anexplicit and computationally convenient form for the
probabilit densit funcint of the natural estimator of
when sampling form a normal distribution. |
Keywords and phrases: process capability index, process yield, process centering,
target value, asymmetric tolerance. |
|
Number of Downloads: 4 | Number of Views: 783 |
|