Done.  You should announce that tip to the list.  There were indeed some
good questions on there.  SO is a good way to keep our collective ear to
the ground.


On Fri, Apr 4, 2014 at 1:48 PM, Aaron Meurer <asmeu...@gmail.com> wrote:

> Yes, you can go to http://stackexchange.com/filters/ and set up a filter
> for the SymPy tag, and it will email you new questions. Lately there are
> new questions almost every single day, so it would definitely help if
> others were answering there as well.
>
> The questions on stackoverflow tend to be high quality and often have
> rather interesting use-cases (there are doozies, of course, but the worst
> questions are closed automatically).
>
> Aaron Meurer
>
>
> On Tue, Apr 1, 2014 at 9:48 AM, Matthew Rocklin <mrock...@gmail.com>wrote:
>
>> First, thanks for posting the question on stack overflow, I think that we
>> should use that more.  Unfortunately, few of us (maybe only Aaron?)
>> actually checks SO, again, I think that we should use it more.
>>
>> Sympy.stats is producing an integral that looks like the following:
>> In [1]: from sympy.stats import *
>> In [2]: a, b, c, d, = symbols('a b c d', real=True, positive=True)
>> In [3]: G1 = GammaInverse("G1", a, b)
>> In [4]: G2 = GammaInverse("G2", c, d)
>> In [5]: G3 = S(7)/10*G1 + S(3)/10*G2
>> In [7]: density(G3, evaluate=False)(x)
>> Out[7]:
>> ∞
>>
>> ⌠
>>
>> ⎮                  ∞
>>
>> ⎮                  ⌠
>>
>> ⎮                  ⎮              -b
>>
>> ⎮                  ⎮              ───
>>
>> ⎮              -d  ⎮   -a - 1  a   G₁           ⎛7⋅G₁   3⋅G₂    ⎞
>>
>> ⎮              ─── ⎮ G₁      ⋅b ⋅ℯ   ⋅DiracDelta⎜──── + ──── - x⎟
>>
>> ⎮   -c - 1  c   G₂ ⎮                            ⎝ 10     10     ⎠
>>
>> ⎮ G₂      ⋅d ⋅ℯ   ⋅⎮ ──────────────────────────────────────────── d(G₁)
>>
>> ⎮                  ⎮                     Γ(a)
>>
>> ⎮                  ⌡
>>
>> ⎮                  0
>>
>> ⎮ ─────────────────────────────────────────────────────────────────────
>> d(G₂)
>> ⎮                                  Γ(c)
>>
>> ⌡
>>
>> 0
>>
>>
>> So one could reduce your question into a question like, "does anyone have
>> any thoughts on how SymPy could solve this integral?"
>>
>>
>> On Tue, Apr 1, 2014 at 6:26 AM, John Griffiths <
>> j.davidgriffi...@gmail.com> wrote:
>>
>>>
>>>
>>> Does anyone have any thoughts on how to solve this problem:
>>>
>>> When I try to take a weighted mixture of inverse gamma distributions
>>> using sympy.stats I get the following error
>>>
>>> %matplotlib inlinefrom matplotlib import pyplot as pltfrom sympy.stats 
>>> import GammaInverse, densityimport numpy as np
>>>
>>> f1 = 0.7; f2 = 1-f1
>>> G1 = GammaInverse("G1", 5, 120/(5.5*2.5E-7))
>>> G2 = GammaInverse("G2", 4, 120/(5.5*1.5E-7))
>>> G3 = f1*G1 + f2*G2
>>> D1 = density(G1);
>>> D2 = density(G2);
>>> D3 = density(G3);
>>> v1 = [D1(i).evalf() for i in u]
>>> v2 = [D2(i).evalf() for i in u]
>>> v3 = [D3(i).evalf() for i in u]
>>>
>>> ...which errors at  D3 = density(G3). The error includes
>>>
>>> PolynomialDivisionFailed: couldn't reduce degree in a polynomial
>>> division algorithm when dividing 
>>> [231761.370742578/(0.0011381138741823*G2**2 -
>>>  0.007587425827882*G2*_z + 0.0126457097131367*_z**2), 0.0]
>>> by [263.770831541635/263.770831541635, 0.0].
>>> This can happen when it's not possible to detect zero in the coefficient 
>>> domain. The domain of computation is RR(G2,_t0,_z). Zero detection is 
>>> guaranteed in this
>>> coefficient domain. This may indicate a bug in SymPy or the domain is user 
>>> definedand doesn't implement zero detection properly.
>>>
>>> (also get this when I take mixture of inverse Gamma with Normal and
>>> Uniform distributions)
>>>
>>> Should this be possible?
>>>
>>>
>>> Cheers.
>>>
>>>
>>>
>>> (p.s. apologies for redundancy with recent SO post)
>>>
>>>
>>>
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