# Estimating nature of fault rate decreasing, increasing

A repairable diesel generator is monitored for 85 days. The following failure times are recorded: 2.3, 4.8, 8.1, 11.3, 17.3, 22.1, 31.3, 45.9, and 78.3. Do these times support a constant failure rate (α = 0.05)? if so, estimate the failure rate. If not, is the rate increasing or decreasing?

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Again first draft, thanks

A repairable diesel generator is monitored for 85 days. The following failure times are recorded: 2.3, 4.8, 8.1, 11.3, 17.3, 22.1, 31.3, 45.9, and 78.3. Do these times support a constant failure rate (α = 0.05)? if so, estimate the failure rate. If not, is the rate increasing or decreasing?

A repairable system means that the system is repaired at each failure time and restored as effectively new. The easiest way to determine the nature of the failure rate (more correctly the ROCOF for a repairable system) is to plot the successive number of failures (y axis) against the varying times of failure for the system (x axis). This plot, derived using Excel and scatter line plot, is shown below

The nature of the ROCOF with time can be determining by examining the ...

#### Solution Summary

Estimating the nature of fault rate whether decreasing, increasing or constant for selected first time to failure data from data of failure of