@@ -7,6 +7,7 @@ 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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@@ -40,7 +41,8 @@ C = 10^{\left(Y_\text{mean} - m X_\text{mean}\right)}
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## 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 75/75 or 95/95 to estimate a conservative measure of the blade lifetime. Below image illustrates a set of data points, with a mean (50/50) power curve.
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 $\left(X_\textrm{p},Y_\textrm{p}\right)$.
