@@ -8,6 +8,7 @@ title: Regression approach and Tolerance bands - power law
## Dependency
It is assumed the data can be described by a power law, expressed either as Y or X dependent (referring to the second and first axis on a fatigue curve).
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@@ -40,8 +41,8 @@ and the adjustment coefficient is
C = 10^{\left(Y_\text{mean} - m X_\text{mean}\right)}
```
## Tollerance bands
A tollerance band states that a certain percentage of the data lies within or above the prediction statement. It is typically of interest to identify the lower-limits in which 75 and 95 percent of the data are above the prediction statement to estimate a conservative measure of the blade lifetime. Below image illustrates a set of data points $\left(X_\textrm{d},Y_\textrm{d}\right)$ with a mean power curve $\left(X_\textrm{p},Y_\textrm{p}\right)$.
## Tolerance bands
A tolerance band states that a certain percentage of the data lies within or above the prediction statement. It is typically of interest to identify the lower-limits in which 75 and 95 percent of the data are above the prediction statement to estimate a conservative measure of the blade lifetime. Below image illustrates a set of data points $\left(X_\textrm{d},Y_\textrm{d}\right)$ with a mean power curve $\left(X_\textrm{p},Y_\textrm{p}\right)$.
