xudong963 commented on PR #15296:
URL: https://github.com/apache/datafusion/pull/15296#issuecomment-2743593315

   > Do you know any use cases where this method would be especially useful? If 
so, maybe we can study one of those cases in more detail. That could help us 
understand the real need and guide us toward a more solid algorithm.
   
   Yes, we're considering restarting the 
[work](https://github.com/apache/datafusion/pull/13296/files#diff-8d786f45bc2d5bf629754a119ed6fa7998dcff7faacd954c45945b7047b87fa1R498),
 and given that `Precision` will be replaced with `Distribution`, so I opened 
the proposal to discuss how to do **merge** for `Distribution`.
   
   > a) Mixture Model (Weighted Average of PDFs)
   > This is a method for combining different probability distributions.
   > p1(x) and p2(x) is some PDF's, and we give them equal weight (0.5). The 
combined PDF would be:
   > _pmix(x) = 0.5 * p1(x) + 0.5 * p2(x)_
   > This creates a probabilistic blend of the two. The result is still a valid 
PDF (non-negative and integrates to 1).
   
   It seems that my current way is close to the mixture model.


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