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).
@@ -49,3 +50,13 @@ A tollerance band states that a certain percentage of the data lies within or ab
 </div>
 
 There exist a multitude of methods as to identify these limits such as assuming the data follows a normal- or Weibull distribution. However, in this scenario the upper- and lower quantiles in the distribution are used to identify said limits. The following steps explains the algorithm step by step
+<br>
+**Step 1** 
+Set quantile of interest 
+
+```math
+\alpha_{0.75} = 0.75, \quad \alpha_{0.95} = 0.95
+```
+
+
+