The various estimators of r are based on the values xij collected
from the m samples, where xij denotes the observed
value of the quality characteristic for the jth product, with
j ¼ 1; . . . ; n, in the ith sample, with i ¼ 1; . . . ;m, and where
the quality characteristic x follows a Normal distribution.
Note that the normality of the quality characteristic is the customary
assumption in the context of SQC. In Section 4, we
analyze the impact on the various estimators of the capability
index when data are extracted from alternative probabilistic
distributions.
The various estimators of r are based on the values xij collectedfrom the m samples, where xij denotes the observedvalue of the quality characteristic for the jth product, withj ¼ 1; . . . ; n, in the ith sample, with i ¼ 1; . . . ;m, and wherethe quality characteristic x follows a Normal distribution.Note that the normality of the quality characteristic is the customaryassumption in the context of SQC. In Section 4, weanalyze the impact on the various estimators of the capabilityindex when data are extracted from alternative probabilisticdistributions.
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