Template:Example: Published 2P Weibull Distribution Interval Data MLE Example: Difference between revisions

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[[Image:example16table.png|center|800px]]
[[Image:example16table.png|center|800px]]


'''Published Results:'''
'''Published Results:'''
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Published results (using MLE):
Published results (using MLE):


[[Image:example16formula.png|center]]
[[Image:example16formula.png]]


Published 95% FM confidence limits on the parameters:
Published 95% FM confidence limits on the parameters:


[[Image:example16formula2.png|center]]
[[Image:example16formula2.png]]


Published variance/covariance matrix:
Published variance/covariance matrix:


[[Image:example16formula3.png|center]]
[[Image:example16formula3.png]]
 


'''Computed Results in Weibull++'''
'''Computed Results in Weibull++'''
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Weibull++ computed parameters for maximum likelihood are:
Weibull++ computed parameters for maximum likelihood are:


[[Image:compexample16formula.png|center]]
[[Image:compexample16formula.png]]


Weibull++ computed 95% FM confidence limits on the parameters:
Weibull++ computed 95% FM confidence limits on the parameters:


[[Image:compexample16formula2.png|center]]
[[Image:compexample16formula2.png]]


Weibull++ computed/variance covariance matrix:
Weibull++ computed/variance covariance matrix:


[[Image:compexample16formula3.png|center]]
[[Image:compexample16formula3.png]]

Revision as of 05:20, 6 August 2012

Published 2P Weibull Distribution Interval Data MLE Example

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:

Example16table.png

Published Results:

Published results (using MLE):

Example16formula.png

Published 95% FM confidence limits on the parameters:

Example16formula2.png

Published variance/covariance matrix:

Example16formula3.png

Computed Results in Weibull++

This same data set can be entered into Weibull++ 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:

Compexample16formula.png

Weibull++ computed 95% FM confidence limits on the parameters:

Compexample16formula2.png

Weibull++ computed/variance covariance matrix:

Compexample16formula3.png