Generalized Eyring-Exponential

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

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Generalized Eyring-Exponential Reliability Function

The generalized Eyring-exponential model reliability function is given by:

chapter7_242.gif

Parameter Estimation

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

chapter7_243.gif

where:

chapter7_244.gif

chapter7_245.gif

and:

The solution (parameter estimates) will be found by solving for the parameters A, B, C and D so that va.gif = 0, vb2.gif = 0, vbeta.gif = 0 and vbeta.gif = 0.

See Also:
Generalized Eyring Relationship


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