1-Parameter Weibull Example: Difference between revisions

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<noinclude>{{Banner Weibull Examples}}</noinclude>
<noinclude>{{Banner Weibull Examples}}</noinclude>
'''Weibull++ Standard Folio Data 1P-Weibull'''
'''Weibull++ Standard Folio Data 1P-Weibull'''


Six prototypes of a system were tested. The failure times are 16, 34, 53, 75, 93 and 120. Due to the small sample size, the 1P-Weibull distribution is chosen to model the data. According to previous similar products, the slope parameter <math>\beta </math>  is 1.5.  
Six prototypes of a system were tested. The failure times are 16, 34, 53, 75, 93 and 120. Due to the small sample size, the 1P-Weibull distribution is chosen to model the data. According to previous similar products, the slope parameter <math>\beta </math>  is 1.5.  


'''Solution'''
'''Solution'''
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[[Image:1P Weibull Parameters.png|center]]
[[Image:1P Weibull Parameters.png|center]]
* Probability plot:
* Probability plot:
[[Image:1P Weibull PPlot.png|center|400px]]
[[Image:1P Weibull PPlot.png|center|500px]]
* Use the QCP to predict reliability:
* Use the QCP to predict reliability:
[[Image:1P Weibull QCP.png|center|400px]]
[[Image:1P Weibull QCP.png|center|500px]]


The QCP shows that the reliability at 15 hours is 0.9054, and its two-sided confidence bounds at a confidence level of 90% are 0.7619 and 0.9644.
The QCP shows that the reliability at 15 hours is 0.9054, and its two-sided confidence bounds at a confidence level of 90% are 0.7619 and 0.9644.

Latest revision as of 03:24, 8 August 2012

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Weibull++ Standard Folio Data 1P-Weibull

Six prototypes of a system were tested. The failure times are 16, 34, 53, 75, 93 and 120. Due to the small sample size, the 1P-Weibull distribution is chosen to model the data. According to previous similar products, the slope parameter [math]\displaystyle{ \beta }[/math] is 1.5.

Solution

Choose the 1P-Weibull distribution in Weibull++ and calculate it, the results are given below.

  • Estimated model parameters:
1P Weibull Parameters.png
  • Probability plot:
1P Weibull PPlot.png
  • Use the QCP to predict reliability:
1P Weibull QCP.png

The QCP shows that the reliability at 15 hours is 0.9054, and its two-sided confidence bounds at a confidence level of 90% are 0.7619 and 0.9644.