Variables Sampling Plans for Weibull Distributed

Lifetimes Under Sudden Death Testing

Abstract—Sudden death testing can be utilized for deciding upon the lot acceptance of manufactured parts.
Variables single, and double sampling plans are proposed for the lot acceptance of parts whose life follows a Weibull distribution with known shape parameter.
The proposed plans are different from the existing ones in that
the lot acceptance criteria do not depend on the estimated scale pa-
rameter. Design parameters of both sampling plans are determined
by using the usual two-point approach. The number of groups is de-
termined independently of the group size, and even independently
of the shape parameter. Also, the double sampling plan can reduce
the average number of groups required. The effects of mis-specifi-
cation of the shape parameter on the probability of accepting the
lots under the single sampling plan are analyzed & discussed.

Index Terms—Double sampling, lot acceptance, operating char-
acteristic curve, single sampling.


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