karuppayya opened a new pull request, #52551:
URL: https://github.com/apache/spark/pull/52551

   ### What changes were proposed in this pull request?
   Adding ability to use ALPHA family for Theta Sketch
   Theta sketch aggregate currently supports only quick select.
   
   
   ### Why are the changes needed?
   Consumers like Iceberg might benefit will benefit from the sketch aggregate 
if has the ability to specify `ALPHA family`
   [Iceberg specification to use ALPHA 
sketches](https://iceberg.apache.org/puffin-spec/#apache-datasketches-theta-v1-blob-type)
    [Custom implementation of theta sketch aggregates in 
Iceberg](https://github.com/apache/iceberg/blob/2f6e7e6371902bcb72f21deeaea8889d4768004e/spark/v3.5/spark/src/main/scala/org/apache/spark/sql/stats/ThetaSketchAgg.scala#L67)
 that can be replaced with Spark Theta aggregates
   
   
   ### Does this PR introduce _any_ user-facing change?
   No
   
   ### How was this patch tested?
   Unit tests
   
   ### Was this patch authored or co-authored using generative AI tooling?
   No


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