Template:Example: Published 3P Weibull Distribution Probability Plot Example: Difference between revisions

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'''Published 3P Weibull Distribution Probability Plot Example'''
#REDIRECT [[Weibull Distribution Examples]]
 
 
From Dimitri Kececioglu, Reliability & Life Testing Handbook, Page 406. [[Appendix: Weibull References|[20]]].
 
Estimate the parameters for three-parameter Weibull, for a sample of ten units all tested to failure. The times-to-failure were recorded at 200; 370; 500; 620; 730; 840; 950; 1,050; 1,160; and 1,400 hours.
 
 
'''Published Results:'''
 
Published results (using probability plotting):
 
[[Image:example19formula.png|center]]
 
 
'''Computed Results in Weibull++'''
 
Weibull++ computed parameters for rank regression on X are:
 
[[Image:compexample19formula.png|center]]
 
The small difference between the published results and the ones obtained from Weibull++ are due to the difference in the estimation method. In the publication the parameters were estimated using probability plotting (i.e. the fitted line was "eye-balled"). In Weibull++, the parameters were estimated using non-linear regression (a more accurate, mathematically fitted line). Note that γ in this example is negative. This means that the unadjusted for γ line is concave up, as shown next.
 
 
[[Image:Weibull Distribution Example 19 Plot.png|center]]

Latest revision as of 02:15, 14 August 2012