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Results tagged with bounds
Search options questions only
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user 29537
Bounds represent the points with which data cannot exceed, such as minima or maxima.
1
vote
0
answers
271
views
Find expectation or lower bound of log erf
I need to find the expectation of $\log \Phi(x)=\log \left(\int_{-\infty}^x\frac{1}{2\pi}\exp(-\frac{1}{2}s^2)ds\right)$. (I realise this isn't quite the error function, but not sure what to call it). …
- 1,353
8
votes
2
answers
1k
views
$E(\frac{1}{1+x^2})$ under a Gaussian
If this integral isn't analytical any sensible bounds? …
- 1,353
0
votes
0
answers
379
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Normalising Constant for exponentiated function
What would the normalising constant be of the following, or atleast an approximation? I would like to avoid sampling.
$$f(\theta)=\exp(-k_1e^{-k_2\theta^2}-\theta^2)\qquad\theta\in(-\infty,\infty), …
- 1,353