Accelerated Life Test Models
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Relationship

Model

Arrhenius

Y = b0 + b1 * [11604.83/° C + 273.16)] + se

Inverse temperature

Y = b0 + b1 * [1/(° C + 273.16)] + se

ln (power)

Y = b0 + b1 * ln(accelerating variable) + se

Linear

Y = b0 + b1 * accelerating variable + se

where:

·    Y = failure time or log failure time.

·    b0 = y-intercept (constant)

·    b1 = regression coefficient

·    s = reciprocal of the shape parameter (Weibull distribution) or the scale parameter (other distributions).

·    e = random error term.

Note

The slope, b1, is the activation energy in Arrhenius models when the assumed distribution is Weibull, exponential, lognormal, or loglogistic.