# Tag Info

## New answers tagged distributions

Accepted

• 9,569

### Is there a distribution for use with generalized linear models that captures both heavy tails and "pointiness" near the mean?

You can not use GLM To solve a generalized linear model (GLM) one uses a iterative algorithm that computes an ordinary least squares problem while changing the weights and values of the observations (...
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### Is there a distribution for use with generalized linear models that captures both heavy tails and "pointiness" near the mean?

You can't interpret the shape of the residuals without checking the conditional mean and variance assumptions (e.g. by residuals vs fitted); if the model for the conditional mean was wrong or the ...
• 264k
1 vote

### For ecological data, when is a gaussian distribution appropriate?

In such cases, you may want to use a non-parametric test, like the Kruskal-Wallis test.
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• 102k
1 vote

### Extreme value distribution for multivariate normal

Bowler, This is an interesting question that I see is unanswered. Memming suggested the Rayleigh distribution, which would work for two Axis (Plane) Radial errors Rxy Rxz Ryz from x,y,z Normally ...
1 vote

### Why does central limit theorem give such big x in $\phi(x)$

The set up of the question is absurd, as originally pointed out by Michael M, in that the expected number with $200$ days is $10000$ with a standard deviation of $100$, so you are extremely unlikely ...
• 32.4k
1 vote
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• 656
Accepted

### Erroneous Argument for uncorrelated implies Independence

Note: you can safely work with the pdf here since we know it exists For $(\Rightarrow)$, when replacing $\text{cor}(X,Y)=0$ in the expression of $f_{X,Y}(x,y)$, do you see that the joint density ...
• 1,489

### What should be the formal definition of continuous uniform distribution pdf value at upper bound?

Partially answered in comments: No pdf is defined, as a function, at any point. As a convention, a pdf is often represented as a function that is continuous wherever possible. Because no pdf for ...
• 67.5k
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### Comparison between multiple curves/probability distributions

Once you have your pairwise distances (another possibility is the Earth Mover's Distance, also known as the Wasserstein metric), you can cluster your sets. The simplest clustering algorithm would be ...
• 101k
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### Continuous and differentiable bell-shaped distribution on $[a, b]$

Let's construct all possible solutions. By "distribution" you appear to refer to a density function (PDF) $f.$ The properties you require are Supported on $[a,b].$ That is, $f(x)=0$ for ...
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### Continuous and differentiable bell-shaped distribution on $[a, b]$

The Truncated normal distribution obeys all prerequisites: It's bell shaped It's continuous Its support is $x \in [a,b]$ It's differentiable, i.e. $\nabla_x p(x)$ exists for all $x \in [a,b]$
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### Continuous and differentiable bell-shaped distribution on $[a, b]$

One option is to transform a beta distribution. $Beta(3,3)$ has your desired properties on $[0,1]$. Now subtract $1/2$ to center the distribution. Next, multiply to stretch or compress the ...
• 35.7k
1 vote
Accepted

### Create statistic to judge moisture distribution 'quality'

You are juggling a lot of balls there. The five features you require of a "good" distribution already are nontrivial to operationalize all by themselves. "Low moisture" can refer ...
• 101k

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