home/regression-approach.md

@@ -9,6 +9,7 @@ title: regression approach - powerlaw
 
 
 
+
 ## 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).
@@ -132,5 +133,18 @@ X_{\Gamma} = X_s \left(X_{\textrm{d,max}} - X_{\textrm{d,min}}\right) + X_{\text
 Y_{\Gamma} = Y_s \left(Y_{\textrm{d,max}} - Y_{\textrm{d,min}}\right) + Y_{\textrm{d,min}}
 ```
 
+**Step 6** <br>
+Compute the adjustment coefficient associated with the quantile of interest -
+
+if Y dependent
+```math
+C_{\alpha} = \frac{Y_{\alpha}}{X_{\alpha}^m}
+```
+if X dependent
+```math
+C_{\alpha} = \frac{X_{\alpha}}{Y_{\alpha}^m}
+```
+
+