Generalized Gamma Distribution with MLE Solution: Difference between revisions

From ReliaWiki
Jump to navigation Jump to search
(Created page with '{{Reference Example}} This example compares the MLE solution for the Generalized-Gamma distribution. {{Reference_Example_Heading1}} The data from Table 1.1 on page 4 in the …')
(No difference)

Revision as of 22:05, 4 June 2014

Weibull Reference Examples Banner.png


New format available! This reference is now available in a new format that offers faster page load, improved display for calculations and images and more targeted search.

As of January 2024, this Reliawiki page will not continue to be updated. Please update all links and bookmarks to the latest references at Weibull examples and Weibull reference examples.



Generalized Gamma Distribution with MLE Solution

This example compares the MLE solution for the Generalized-Gamma distribution.


Reference Case

The data from Table 1.1 on page 4 in the book Statistical Methods for Reliability Data by Dr. Meeker and Dr. Escobar, John Wiley & Sons, 1998 is used.


Data

Failures
17.88 28.92 33
41.52 42.12 45.6
48.4 51.84 51.96
54.12 55.56 67.8
68.64 68.64 68.88
84.12 93.12 98.64
105.12 105.84 127.92
128.04 173.4


Result

The solution is given on page 257, Example 11.2. The ML estimates are [math]\displaystyle{ \mu\,\! }[/math] = 4.23, [math]\displaystyle{ \sigma\,\! }[/math] = 0.51 and [math]\displaystyle{ \alpha\,\! }[/math] = 0.3076.


Results in Weibull++


GenGamma MLE.png
Retrieved from "https://www.reliawiki.com/index.php?title=Generalized_Gamma_Distribution_with_MLE_Solution&oldid=55006"