Two estimates of the extreme value scale parameter

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Pooled fluid breakdown. Use the 30- and 35-kV samples in Table 4.1 and the results of Problem 7.1. Assume the true Weibull shape parameter ß is the same at both voltages.

(a)    Using the two estimates of the extreme value scale parameter, calculate a pooled estimate of the common true value.

(b)   Give the theoretical variance of this estimate in terms of the unknown true value δ

(c)    Calculate the corresponding estimate of the common Weibull shape parameter.

(d)   Calculate two-sided approximate 90% confidence limits for δ using the (Wilson-Hilferty) approximation.

(e)   Calculate the corresponding limits for the common Weibull shape parameter.

 

 

Reference no: EM131056624

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