ABSTRACT
Where s is number of successful trials. To facilitate the calculations formula (1), it often
is taken the logarithm on both side yields:
ln ( ) l ( ) ( )L C f Rl f Rlnn f= n +n (2)
To derive R, let the equation result be zero, the likelihood equation is obtained:
d L dR
n f R
f R
( )R = −
−
=
1 0 (3)
The maximum likelihood estimate of the reliability R is obtained by solving the likelihood equation:
R n f n
= (4)
When the total number of tests “n” is constant, the reliability R of the component is monotonous with the test success number expressed as “s”. For the test data (n – f, n), the lower credible limit of product reliability which is expressed as “RL” can be obtained by the formula (5) when the confidence is γ.
