title: Fitting a distribution to data - MATLAB
body: <p>I am trying to fit a distribution to some data I've collected from microscopy images. We know that the peak at about 152 is due to a Poisson process. I'd like to fit a distribution to the large density in the center of the image, while ignoring the high intensity data. I know how to fit a Normal distribution to the data (red curve), but it doesn't do a good job of capturing the heavy tail on the right. Although the Poisson distribution should be able to model the tail to the right, it doesn't do a very good job either (green curve), because the mode of the distribution is at 152. </p>
  
  <pre><code>PD = fitdist(data, 'poisson');
  </code></pre>
  
  <p>The Poisson distribution with lambda = 152 looks very Gaussian-like. </p>
  
  <p>Does anyone have an idea how to fit a distribution that will do a good job of capturing the right-tail of the data?</p>
  
  <p><img src="https://i.stack.imgur.com/pPiX4.png" alt="enter image description here"></p>
  
  <p><a href="https://imgur.com/E398u" rel="nofollow noreferrer">Link to an image showing the data and my attempts at distribution fitting.</a> </p>