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https://issues.apache.org/jira/browse/MATH-1146?page=com.atlassian.jira.plugin.system.issuetabpanels:comment-tabpanel&focusedCommentId=14099446#comment-14099446
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Phil Steitz commented on MATH-1146:
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I am leaning toward improving the javadoc to be clear about what happens with 
infinities (if possible to do consistently).  The updating formulas and setup 
are designed for fast, accurate computations and I want to make sure we do not 
add a performance hit for users with standard (non NaN, non-Inf) data so we can 
return meaningful results in the presence of INFs. 

> class Mean returns incorrect result after processing an Infinity value
> ----------------------------------------------------------------------
>
>                 Key: MATH-1146
>                 URL: https://issues.apache.org/jira/browse/MATH-1146
>             Project: Commons Math
>          Issue Type: Bug
>    Affects Versions: 3.3
>            Reporter: david cogen
>         Attachments: MATH-1146.patch
>
>
> 1. Create a Mean object.
> 2. call increment() with Double.POSITIVE_INFINITY.
> 3. Call getResult(). Result is INFINITY as expected.
> 4. call increment() with 0.
> 5. Call getResult(). Result is NaN; not INFINITY as expected.
> This is apparently due to the "optimization" for calculating mean described 
> in the javadoc. Rather than accumulating a sum, it maintains a running mean 
> value using the formula "m = m + (new value - m) / (number of observations)", 
> which unlike the "definition way", fails after an infinity.
> I was using Mean within a SummaryStatistics. Other statistics also seem to be 
> affected; for example, the standard deviation also incorrectly gives NaN 
> rather than Infinity. I don't know if that's due to the error in Mean or if 
> the other stats classes have similar bugs.



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