Using the Power Low to Analyze Complex Repairable Systems
Confidence Bounds for Repairable Systems
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Using the Power Low to Analyze Complex Repairable Systems Confidence Bounds for Repairable Systems |
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Example 3
Using the data from Example 1, calculate the mission reliability at T = 2000 hours and mission time d = 40 hours along with the confidence bounds at the 90% confidence level.
Solution
The maximum likelihood estimates of 
and 
from Example
1 are:
From Eqn. (3), the mission reliability at t
= 2000 for mission time d = 40
is: 
At the 90% confidence level and T
= 2000 hours, the Fisher Matrix confidence
bounds for the mission reliability for mission time d
= 40 are given by: 
The Crow confidence bounds for the mission reliability are: 
Figures 13.3 and 13.4 show the Fisher Matrix and Crow confidence bounds on mission reliability for mission time d = 40.
Figure 13.3: Conditional Reliability vs. Time plot with Fisher Matrix confidence bounds |
Figure 13.4: Conditional Reliability vs. Time plot with Crow confidence bounds |
