Rayleigh Distribution with MLE Solution

This example validates the results for a Rayleigh distribution (1-parameter Weibull with beta = 2) in Weibull++ standard folios.

Reference Case

The data set is from Example 5.11 on page 283 in the book Reliability Engineering by Dr. Elsayed, Addison Wesley Longman, Inc, 1996.

Data

State F/S	Time to F/S
F	10
F	20
F	30
F	35
F	39
F	42
F	44
S	50
S	50
S	50

Result

• The model parameter is
• The Mean Life is 41.49
• The Standard Deviation is 21.70

Results in Weibull++

• The model parameter is:

• The mean life is:

• The standard deviation is: