jmalkin commented on issue #64:
URL: 
https://github.com/apache/datasketches-hive/issues/64#issuecomment-1211562159

   Was hoping someone a little better with longer explanations would jump on 
this. But I guess not.
   
   The error bounds based on sketch size k apply only when constructing a 
sketch or performing unions. Theta sketch intersections provide substantially 
better error bounds than what you can get with a sketch like HLL, which must 
use an include/exclude rule for estimation, but the error of intersections 
depends not only on the size of the initial sketches but also on the overlap of 
the two sketches.
   
   There's a much longer discussion here: 
[https://datasketches.apache.org/docs/Theta/ThetaAccuracyPlots.html](https://datasketches.apache.org/docs/Theta/ThetaAccuracyPlots.html),
 specifically in the section `Accuracy of Set Intersections & Differences`.
   


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