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==Weibull Distribution Example 16: Two-parameter MLE with Interval Data==
#REDIRECT [[Weibull Distribution Examples]]
 
From Wayne Nelson, Applied Life Data Analysis, Page 415 [30]. One hundred and sixty-seven (167) identical parts were inspected for cracks. The following is a table of their last inspection times and times-to-failure:
 
[[Image:example16table.png|center]]
 
===Published Results for Weibull Distribution Example 16===
 
Published results (using MLE):
 
[[Image:example16formula.png|center]]
 
Published 95% FM confidence limits on the parameters:
 
[[Image:example16formula2.png|center]]
 
Published variance/covariance matrix:
 
[[Image:example16formula3.png|center]]
 
===Computed Results for Weibull Distribution Example 16===
This same data set can be entered into Weibull++ 7 by selecting the data sheet Times to Failure, with Right Censored Data (Suspensions), with Interval and Left Censored Data and with Grouped Observations options, and using MLE.
 
Weibull++ computed parameters for maximum likelihood are:
 
[[Image:compexample16formula.png|center]]
 
Weibull++ computed 95% FM confidence limits on the parameters:
 
[[Image:compexample16formula2.png|center]]
 
Weibull++ computed/variance covariance matrix:
 
[[Image:compexample16formula3.png|center]]

Latest revision as of 02:16, 14 August 2012

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