I want to calculate empirical distribution in python – this is my current code –

```
def Empirical_F(X):
x = np.sort(X)
y = np.arange(1, len(x) + 1) / float(len(x))
return np.column_stack((x, y))
```

but my result for the vector 8, 2, -13, 4, -9, 0, 18, 4, -5, 10, 1, -7, 7, 13, -5, -16, -9, 18, -10, 0]

is as follows –

```
[[-16. 0.05]
[-13. 0.1 ]
[-10. 0.15]
[ -9. 0.2 ]
[ -9. 0.25]
[ -7. 0.3 ]
[ -5. 0.35]
[ -5. 0.4 ]
[ 0. 0.45]
[ 0. 0.5 ]
[ 1. 0.55]
[ 2. 0.6 ]
[ 4. 0.65]
[ 4. 0.7 ]
[ 7. 0.75]
[ 8. 0.8 ]
[ 10. 0.85]
[ 13. 0.9 ]
[ 18. 0.95]
[ 18. 1. ]]
```

I want to fix that when x value is the same so does y value

I want them to have the same value.

Thanks!