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From "Mark R. Diggory" <>
Subject Re: [math] Recent commits to stat, util packages
Date Mon, 07 Jul 2003 16:48:54 GMT wrote:

>>Still, with a little invention I think this could be easily worked 
>>around. Especially with the functor model. Either with separate 
>>extensions of the increment method that could accept precalculated 
>>moments to use in the calculation, or constructors that wire in the 
>>moment being used by the UnivaraiateStatistic, thus reducing the 
>>*Constructor approach to reusing moments.*
>>Mean mean = new Mean();
>>SecondMoment m2 = new SecondMoment(mean);
>>ThirdMoment m3 = new ThirdMoment(mean, m2);
>>FourthMoment m4 = new FourthMoment(mean, m2, m3);
>>Variance var = new Variance(m2);
>>Skew skew = new Skew(variance, m3);
>>Kurt kurt = new Kurt(variance, m4);
>>*Incremental approach to reusing moments.*
>>Mean mean = new Mean();
>>SecondMoment m2 = new SecondMoment();
>>ThirdMoment m3 = new ThirdMoment();
>>FourthMoment m4 = new FourthMoment();
>>Variance var = new Variance();
>>Skew skew = new Skew();
>>Kurt kurt = new Kurt();
>>m2.increment(d, m1);
>>m3.increment(d, m1, m2);
>>m4.increment(d, m1, m2, m3);
>>var.increment(d, m1);
>>skew.increment(d, m2);
>>kurt.increment(d, m4);
>One problem with this approach, is now order of computation for each
>statistic object is a big concern.  The responsibility of correct
>ordering would have to be placed in univariate with Mark's statistics
>objects.  It would be better to place that responsibility in the
>statistic objects themselves
Yes, that is very true. retaining separate computations for each object 
(what currently happens) stops such headaches from occuring. Individual 
stats that work in this way are modular without major concern for 
"incremental" state. Approaching my example above does create and env 
where "incrementation" has to be tightly managed.

>Maybe we could make composite statistic objects that can compute more
>than one metric.  The composite would conform to the same statistic
>interface and would be adaptable into individual metrics.  Also, the
>responsibility of computation ordering would be hidden in the
>composite, removed from univariate.
>Brent Worden
Hmm, can you elaborate a bit on this, I'm not quite sure I understand 
how a composite could be adapted into individual metrics while still 
working with the Statistic interface. Wouldn't you end up back at


to recover the separate stats in the composite? and still would'nt you 
need to calculate m2 - m4 even in the case that you just wanted to get 
the Mean?


Mark Diggory
Software Developer
Harvard MIT Data Center

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