3P-Weibull Rank Regression: Difference between revisions

Revision as of 15:41, 9 June 2014

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3P-Weibull Rank Regression

This example compares the 3-parameter Weibull with rank regression calculation.

Reference Case

Table 6.3 on page 292 in the book Reliability Engineering Handbook Vol 1 by Dr. Kececioglu, Prentice-Hall, 1991.

Data

Num. in State	State F or S	Time to Failure
1	F	46
1	F	64
1	F	83
1	F	105
1	F	123
1	F	150
4	S	200

Result In the book, the results are obtained by visually fitting a straight line to the median rank at each failure point. The reliability function for a 3P-Weibull distribution is:

[math]\displaystyle{ R(t)=e^{-\left({\frac{t-\gamma }{\eta}}\right )^{\beta }}\,\! }[/math]

The results are [math]\displaystyle{ {\beta}\,\! }[/math] = 1.2, [math]\displaystyle{ {\eta}\,\! }[/math] = 144 and [math]\displaystyle{ {\gamma}\,\! }[/math] = 30

Results in Weibull++

@@ Line 1: / Line 1: @@
 {{Reference Example}}
-This example compares the 3-parameter Weibull with rank regression.
+This example compares the 3-parameter Weibull with rank regression calculation.
 {{Reference_Example_Heading1}}
-Table 6.3 on page 292 in book ''Reliability Engineering Handbook Vol 1'' by Dr. Kececioglu, Prentice-Hall, 1991.
+Table 6.3 on page 292 in the book ''Reliability Engineering Handbook Vol 1'' by Dr. Kececioglu, Prentice-Hall, 1991.

3P-Weibull Rank Regression: Difference between revisions

Revision as of 15:41, 9 June 2014

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