Anirudh Joshi created STATISTICS-77:
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             Summary: Implement Sum
                 Key: STATISTICS-77
                 URL: https://issues.apache.org/jira/browse/STATISTICS-77
             Project: Commons Statistics
          Issue Type: Sub-task
          Components: descriptive
            Reporter: Anirudh Joshi


This implementation uses {{commons-numbers}} 
[Sum|https://github.com/apache/commons-numbers/blob/master/commons-numbers-core/src/main/java/org/apache/commons/numbers/core/Sum.java]
 as the underlying implementation.

This may be further expanded to include various other Sum implementations like 
`[Kahan Sum|[https://en.wikipedia.org/wiki/Kahan_summation_algorithm]], 
{{Neumaier Sum}} (Two sum method) etc. with the option for the users to choose 
an implementation. However, before beginning the implementation of various 
other algorithms it may be worthwhile to discuss and investigate the relative 
speed of the current Sum implementation compared to {{DoubleStream.sum}} 
through JMH benchmarks.
When we know the different speeds, it would be more clear if the user should 
have a choice for this statistic, e.g. * When using {{DoubleStream.sum}} is too 
slow and it would be nice to have a simple sum variation.
 * When the sum has a lot of cancellation and {{DoubleStream.sum}} suffers from 
random walk around zero.



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