# 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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### Should degrees of freedom corrections be used for inference on GLM parameters?

This question is inspired by Martijn's answer here. Suppose we fit a GLM for a one parameter family like a binomial or Poisson model and that it is a full likelihood procedure (as opposed to say, ...
556 views

### Regression for function approximation

I have a program for heat exchanger calculations which uses correlations that are complex and highly non-linear. I need to come up with an approximation of the function using regression. The ...
79 views

### Numerical method to compress empirical probability distribution

I am trying to grapple with the following problem. I have an application that develops empirical distributions. In essence, I end up with a histogram of equally spaced $x$ values, with both a $max$...
832 views

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### Poisson Approximation to Binomial (How to proceed)

A charity issues a large number of certificates each costing $£10$ and each being repayable one year after issue. Of these certificates, $1$% are randomly selected to receive a prize of £10 such that ...
171 views

### Second order approximations of expected exponentiated sums of dependent Bernoulli random variables

I would like to approximate $\mathbb{E}[e^y]$ for $y=\sum_i^n c_i x_i$, and $x_i\sim \text{Bernoulli}(p_i)$ ($p_i$'s distinct) using $p_i$ and $\text{cov}(x_i,x_j)$. The $c_i\in \mathbb{R}$ are fixed, ...
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### Approximating a 3d function based on 3d scattered points

Hello I have many 3d points (x, y, z). I have averaged every z with a matching (x, y) value and plotted the resulting means as a surface. The data looks pretty good: The green indicates where the ...