Gengliang Wang created SPARK-53886:
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             Summary: Percentile estimation functions
                 Key: SPARK-53886
                 URL: https://issues.apache.org/jira/browse/SPARK-53886
             Project: Spark
          Issue Type: New Feature
          Components: SQL
    Affects Versions: 4.2
            Reporter: Gengliang Wang


Similar to https://issues.apache.org/jira/browse/SPARK-53885, it would be 
useful to have the following percentile estimation functions based on data 
sketch. These functions provide a lightweight, mergeable representation of 
percentile distributions, enabling efficient approximate percentile computation 
over large or streaming datasets without maintaining full data samples.
 * *APPROX_PERCENTILE_ACCUMULATE(expr[, maxItemsTracked]):* Creates an 
intermediate state object that incrementally accumulates values for percentile 
estimation using a sketch-based algorithm.

 * *APPROX_PERCENTILE_ESTIMATE(state [, k] ])* : Returns the approximate 
percentile value(s) from a previously accumulated sketch state.

 * *APPROX_PERCENTILE_COMBINE(expr[, maxItemsTracked])* : Merges two 
intermediate sketch states to enable distributed or parallel percentile 
estimation.



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