On Friday, January 17, 2014 1:51:22 AM UTC+1, Aaron Meurer wrote:
>
> it seems it is not true if p > 0.5.
>
>
No, this distribution is symmetric under *{ p ---> 1 - p, k ---> n - k
}*substitution, it has surely to converge for
*0 <= p <= 1*
> The summation module is just fine for this problem, though. It
> computed the answer. There are many problems that it can't compute,
> and for those we do need improvement. I don't know how many of them
> come up in statistics. The so-called hypergeometric summations will be
> the best in the current system, due to the meijerg algorithm.
>
>
Is there any list of papers/algorithms about summations?
>
> > Even worse with a slight modification:
> >
> >>>> summation(binomial_dist*k, (k, 0, n))
> > TypeError: unsupported operand type(s) for *: 'NoneType' and 'Add'
>
> Well this is obviously a bug. Can you report it?
>
In any case, this again surely converges for *p < 1*, the mean (*p n*) is
always finite.
https://github.com/sympy/sympy/issues/2787
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