cyb70289 commented on pull request #9435:
URL: https://github.com/apache/arrow/pull/9435#issuecomment-783843292


   Other thoughts about O(1) space quantile kernel performance:
   TDigest is good at estimate skewed quantiles, like 0.01, 0.99. For normal 
quantiles between 0.1 ~ 0.9, the old school online quantile algorithm P-Square 
[1] is good enough, it should be faster than TDigest. Maybe we can add a 
p-square kernel for additional cases, or auto select tdigest/p-square per input 
options.
   [1] https://www.cse.wustl.edu/~jain/papers/ftp/psqr.pdf


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