Far East Journal of Theoretical Statistics
Volume 3, Issue 1, Pages 49 - 66
(July 1999)
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ON THE GENERALIZATIONS OF THE CAPABILITY INDEX
FOR ASYMMETRIC TOLERANCES
W. L. Pearn (Taiwan, R. O. C.), P. C. Lin (Taiwan, R. O. C.) and K. S. Chen (Taiwan, R. O. C.)
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Abstract: Pearn and Chen [14] considered a generalization of for
processes with asymmetric tolerances. The generalization takes into account the
asymmetry of the tolerance, which reflects the process capability more
accurately than the original
The same approach is applied on the incapability index
(see Chen [6] proposed by Greenwich and Jahr-Schaffrath [9], which provides an
uncontaminated separation between information concerning process accuracy and
process precision. In this paper, we take the same approach and consider a new
generalization of to handle processes with
asymmetric tolerances, which we refer to as
We also investigate the statistical properties of the natural estimator of assuming
he process is normally distributed. |
Keywords and phrases: process capability index, target value, process yield, process
loss, asymmetric tolerances, departure ratio. |
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