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I am doing a research about outlier detection in Multivariate Elliptically Shaped Numerical data and I have searched a lot for a matching dataset yet I couldn't find any. Any help will be appreciated in finding such dataset.

I mean if you visualize the data (in two dimensions) you would see the data points form an elliptic shape.

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    If you can explain in plain English what "multivariate elliptically shaped numerical data" means, that would increase the chances of getting good recommendations. – csk Dec 16 '19 at 18:38
  • Sure, I do mean if you actually visualize the data (two dimension) you would see the data points form an elliptic shape. – R_10 Jan 10 at 14:47
  • The planets move in nearly planar approximately elliptical orbits, but I'm not sure if that counts as "data", since it's highly predictable. – user3856 Jan 20 at 15:18
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This answer may not fully answer your question.

Have you seen the Plot a confidence ellipse of a two-dimensional dataset? Here they use plotting an ellipse for a two-dimensional dataset.

or if you are looking for data points to plot

you can use the parametric equation of an ellipse and generate random datapoints

x = u+a.cos(t) ; y = v+b.sin(t)

import numpy as np
from matplotlib import pyplot as plt
from math import pi

u=1.     #x-position of the center
v=0.5    #y-position of the center
a=2.     #radius on the x-axis
b=1.5    #radius on the y-axis

t = np.linspace(0, 2*pi, 100)
plt.plot( u+a*np.cos(t) , v+b*np.sin(t) )
plt.grid(color='lightgray',linestyle='--')
plt.show()

Which gives :

enter image description here

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