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Table 24 The 95%/95% tolerance intervals for the data set in Table 23 computed using Minitab, Python, and R

From: Tolerance intervals in statistical software and robustness under model misspecification

Assumed

Software Package

Distribution

Minitab

Python

R (tolerance package)

Gamma

(27.527, 194.210)

Not available

method = ~HE~: (27.937, 192.248)

   

method = ~HE2~: (28.007, 191.994)

   

method = ~WBE~: (28.009, 191.987)

   

method = ~KM~: (28.009, 191.987)

   

method = ~EXACT~: (27.945, 192.220)

   

method = ~OCT~: (25.537, 201.331)

Weibull

(22.019, 171.516)

Not available

(23.884, 171.782)

Lognormal

(30.297, 229.080)

(30.297, 229.080)

method = ~HE~: (30.291, 229.126)

   

method = ~HE2~: (30.348, 228.697)

   

method = ~WBE~: (30.349 228.685)

   

method = ~KM~: (30.350, 228.685)

   

method = ~ELL~: (29.268, 237.139)

   

method = ~EXACT~: (30.297, 229.080)

   

method = ~OCT~: (28.352, 244.798)