Methods and formulas for accelerated life test models in Accelerated Life Test Plan

Linear

Notation

TermDescription
Ypfailure time or log failure time
β0y-intercept (constant)
β1regression coefficient
σreciprocal of the shape parameter (Weibull distribution) or the scale parameter (other distributions)
Φ-1(p)the pth quantile of the standardized life distribution

Arrhenius

where the value in the numerator (11604.53) is the inverted value of Boltzman's constant and the value in the denominator (273.16) is absolute 0.

Notation

TermDescription
Ypfailure time or log failure time
β0y-intercept (constant)
β1regression coefficient
σreciprocal of the shape parameter (Weibull distribution) or the scale parameter (other distributions)
Φ-1(p)the pth quantile of the standardized life distribution

Inverse temp

Notation

TermDescription
Ypfailure time or log failure time
β0y-intercept (constant)
β1regression coefficient
σreciprocal of the shape parameter (Weibull distribution) or the scale parameter (other distributions)
Φ-1(p)the pth quantile of the standardized life distribution

Ln (Power)

Notation

TermDescription
Ypfailure time or log failure time
β0y-intercept (constant)
β1regression coefficient
σreciprocal of the shape parameter (Weibull distribution) or the scale parameter (other distributions)
Φ-1(p)the pth quantile of the standardized life distribution

Standardized model

The standardized acceleration is calculated as follows:

The standardized accelerated life test model is:

Notation

TermDescription
knumber of levels of the accelerating variable (not including the normal use level)
Xi level of the accelerating variable
XUuse level
XH highest level of the accelerating variable
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