Estimating a probability distribution with a descrete and contunious part

pablohacker

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Oct 24, 2014
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Hello everyone,

This is a question more for advice and a suggested starting point than anything else (though anything else is cool as well :D)

The data that I have is something like this - 1,000,000 data points of which about 9/10 are 0's, the rest are strictly positive.

The way that is best to understand this process is as a two step process:
1) Something like a binomial distribution says if a event occurs or not.
2) If the event occurs then we take a random draw from the continuous distribution over a positive range (something like an extreme value distribution).

I am curious about the best way of bringing these two separate distributions into a single distribution; so if any one has any suggestions they will be more than welcome!

Thank you
 
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