diff --git a/src/main/java/Presenter/Algorithms/RepeatedMedianEstimator.java b/src/main/java/Presenter/Algorithms/RepeatedMedianEstimator.java
index c533554..057527b 100644
--- a/src/main/java/Presenter/Algorithms/RepeatedMedianEstimator.java
+++ b/src/main/java/Presenter/Algorithms/RepeatedMedianEstimator.java
@@ -4,7 +4,9 @@ import Model.Line;
 import Model.Slab;
 
 import java.util.ArrayList;
+import java.util.Collections;
 import java.util.LinkedList;
+import java.util.Random;
 
 /**
  * Implementierung verschiedener Algorithmen zur Berechnung von Ausgleichsgeraden.
@@ -35,6 +37,9 @@ public class RepeatedMedianEstimator implements Algorithm {
     private Double kHigh;
     private Double beta;
 
+    private Line thetaLow;
+    private Line thetaHigh;
+
 
 
     public RepeatedMedianEstimator(LinkedList<Line> set) {
@@ -58,24 +63,74 @@ public class RepeatedMedianEstimator implements Algorithm {
             ArrayList<Line> lines = sampleLines(linesInCenterSlab, r);
 
             //TODO: hier kommt der neue Ansatz vom zweiten Algorithmus hin
+            estimateMedianIntersectionAbscissas(lines);
 
             k = (Math.floor(n * 0.5) - linesInLeftSlab.size());
             computeSlabBorders();
-            fastSelectionAlg();
+            thetaLow  = randomizedSelect(linesInCenterSlab,0,linesInCenterSlab.size()-1,kLow);
+            thetaHigh = randomizedSelect(linesInCenterSlab,0,linesInCenterSlab.size()-1,kHigh);
             countNumberOfIntersectionsAbscissas();
         }
     }
 
 
-    public ArrayList<Line> sampleLines(ArrayList<Line> set, Double r){return null;}
+
 
     public void computeSlabBorders(){
        kLow  = Math.max(1, Math.ceil(((r * k)/(linesInCenterSlab.size()))-((3 * Math.sqrt(r))/(2))));
-       kHigh = Math.max(1, Math.ceil(((r * k)/(linesInCenterSlab.size()))+((3 * Math.sqrt(r))/(2))));
+       kHigh = Math.min(1, Math.ceil(((r * k)/(linesInCenterSlab.size()))+((3 * Math.sqrt(r))/(2))));
+    }
+
+    public ArrayList<Line> sampleLines(ArrayList<Line> set, Double r){
+
+        ArrayList<Line> sampledLines = new ArrayList<>();
+
+        Random random = new Random(n);
+        for (int i=0; i<n; i++){
+            sampledLines.add(set.get(random.nextInt()));
+        }
+
+        return sampledLines;
+    }
+
+    public Line randomizedSelect(ArrayList<Line> a, int start, int end, double i){
+        if (start == end)
+            return a.get(start);
+        int q = randomizedPartition(a, start, end);
+        int tmpPivot = q - start + 1;
+
+        if ( i == tmpPivot ){
+            return a.get(q);
+        } else if ( i < tmpPivot ) {
+            return randomizedSelect(a, start, q-1, i);
+        } else {
+            return randomizedSelect(a, q+1, end, i-tmpPivot);
+        }
+    }
+
+    public int randomizedPartition(ArrayList<Line> a, int start, int end){
+        int delta = Math.abs(end - start);
+        Random random = new Random(delta);
+        int i = start + random.nextInt();
+        Collections.swap(a, end, i);
+        return partition(a, start, end);
+    }
+
+    public int partition(ArrayList<Line> a, int start, int end){
+        Line x = a.get(end);
+        int i = start - 1;
+        for (int j=start; j<end; j++){
+            if (a.get(j).getM() <= x.getM()){
+                i++;
+                Collections.swap(a, i, j);
+            }
+        }
+        Collections.swap(a, i+1, end);
+        return i+1;
     }
 
-    public void fastSelectionAlg(){}
     public void countNumberOfIntersectionsAbscissas(){}
+    public void estimateMedianIntersectionAbscissas(ArrayList<Line> sampledLines){}
 
 }