Template:Example: 3P Weibull Distribution: Difference between revisions

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'''Three-parameter Weibull distribution example'''
[[Three-parameter Weibull Distribution Example]]
 
Six identical units are reliability tested under the same stresses and conditions. All units are tested to failure and the following times-to-failure are recorded: 48, 66, 85, 107, 125 and 152 hours. Find the parameters of the three-parameter Weibull distribution using probability plotting.
 
 
'''Solution'''
 
The following figure shows the results. Note that since the original data set was concave down, 17.26 was subtracted from all the times-to-failure and replotted, resulting in a straight line, thus <span class="texhtml">γ = 17.26</span>. (We used Weibull++ to get the results. To perform this by hand, one would attempt different values of <span class="texhtml">γ,</span> using a trial and error methodology, until an acceptable straight line is found. When performed manually, you do not expect decimal accuracy.)
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[[Image:WB.8 gamma data.png|center|400px|]]

Revision as of 17:53, 21 March 2012