By setting m = L(V,U) as given in Eqn. ( 15), the exponential pdf becomes:

Generalized Eyring-Exponential Reliability Function
The generalized Eyring-exponential model reliability function is given by:

Parameter Estimation
Substituting the generalized Eyring relationship into the exponential log-likelihood equation yields:

where:


and:
Fe is the number of groups of exact times-to-failure data points.
Ni is the number of times-to-failure in the ith time-to-failure data group.
A, B, C, D are parameter to be estimated.
Vi is the temperature level of the ith group.
Ui is the non-thermal stress level of the ith group.
Ti is the exact failure time of the ith group.
S is the number of groups of suspension data points.
is the number of suspensions in the ith
group of suspension data points.
is the running time of the ith
suspension data group.
FIis the number of interval data groups.
is the number of intervals in the ith
group of data intervals.
is the beginning of the ith
interval.
is the ending of the ith
interval.
The solution
(parameter estimates) will be found by solving for the parameters A, B, C and D
so that
= 0,
= 0,
= 0 and
= 0.
See
Also:
Generalized Eyring Relationship
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