# Questions tagged [approximation]

Approximations to distributions, functions, or other mathematical objects. To approximate something means to find some representation of it which is simpler in some respect, but not exact.

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### approximating the density of the studentized range distribution

Is anyone aware of an approximation to the density function for the studentized range distribution https://en.wikipedia.org/wiki/Studentized_range_distribution ? I've found a fast approximation for ...
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### Non-stationary Random Fourier Features

Random Fourier Features (RFFs) were introduced by A. Rahimi and B. Recht in their 2007 publication Random Features for Large-Scale Kernel Machines. RFFs are based on Bochner's theorem, which applies ...
1 vote
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### Restrictions on sample cumulants/moments for truncated Edgeworth expansion

I'm trying to approximate an unknown distribution by a truncated Edgeworth series, with cumulants/central moments estimated from a large sample. I notice though that I am getting negative tail ...
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### Overflow when computing binomial distribution for large n [duplicate]

How do you compute a binomial probability distribution for large $n$? If I try the following, I get an integer overflow in any programming language: ...
• 111
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### How should I deduce the variance and expectation of the log of a variable?

I read this paper "voom: precision weights unlock linear model analysis tools for RNA-seq read counts", in the methods, the "Delta rule for log-cpm" section: The RNA-seq data ...
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### Number of points a one hidden layer neural-network can interpolate

We am trying to understand the number of points that a neural network of a particular size can interpolate. I think this may be isomorphic to its degree of freedom? We are not interested in whether ...
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1 vote
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### Connection between mean field inference and mean field theory (physics)

In variational inference, the mean-field family of probability distributions is the set of distributions that factors over its terms (i.e. each component is independent of all others). This allows us ...
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Given $k$, $\theta$ fixed shape and scale parameters for some Gamma distribution which has a CDF $F$. Let $G^{-1}$ be the inverse CDF of the standard Normal distribution. Consider the composition \$H(x)...