title: How to find the similarity between two differently sized distributions?
body: <p>I have two differently sized (different number of samples) waves that are currently stored as lists of numbers. Is there a mathematical formula to measure the similarity between them?</p>
  <p>For example:</p>
  <p>Wave 1 : 1016 samples</p>
  <p><a href="https://i.stack.imgur.com/IOheb.png" rel="nofollow noreferrer"><img src="https://i.stack.imgur.com/IOheb.png" alt="Wave 1 : 1016 samples" /></a></p>
  <p>Wave 2 : 512 samples</p>
  <p><a href="https://i.stack.imgur.com/Dcvg0.png" rel="nofollow noreferrer"><img src="https://i.stack.imgur.com/Dcvg0.png" alt="Wave 2 : 512 samples" /></a></p>
  <pre><code>``` wave_1 and wave_2 attached in pastebin ``` 
  </code></pre>
  <p><a href="https://pastebin.com/QGGNcWPq" rel="nofollow noreferrer">Link with data for waves 1 and 2</a></p>
  <p>ie. I have two differently sized lists, that contain a distribution. How do i find if they are similar or not?</p>