5.3.5.1 Missile System
Example
An antiaircraft missile system has demonstrated a gamma failure
distribution with a = 3 and l = 0.05 (failures/hour). Determine the reliability for a
24 hour mission time and the hazard rate at the end of 24 hours.
Ordinarily, special tables of the Incomplete Gamma Function are
required to evaluate the above integral. However, it can be shown that if
a is an
integer


(5.47) 
which
later in the section will be shown to be a Poisson distribution. Using Eq.
(5.47)