Improve presentation of distributions on the PreliZ page

[aleicazatti]

Tell us about it

The current presentation of distributions on the PreliZ API page is too verbose, which is suitable for technical details but not very user-friendly.

Thoughts on implementation

1. Create a distributions grid page:

• Develop a new page with a grid of images (like ArviZ example gallery), each representing a distribution's probability density function (PDF).

• Clicking on an image should lead to more detailed information, including the "story" or history of the distribution.

2. Detailed individual pages for each distribution:

• Simplify the information by distilling content from sources like Wikipedia, making it more accessible.

• Include concise, "Bayesian-focused" stories for each distribution.

• Provide visual examples, parameter explanations, and common uses.

• Implement "See also" sections to link related distributions.

• Add tags for easier searching based on domain, parameters, symmetry, etc.

[aloctavodia]

We should also create specific issues for each distribution, that will help us distribute the work and we could use the specific issues to collect and discuss the specific information we want to add to each element in the grid.

For the See Also, we could use this as a guide https://upload.wikimedia.org/wikipedia/commons/a/af/ProbOnto2.5.jpg, after a quick look I think a good principle could be to add a "See also" if two distributions are first neighbours in this graph. We could consider other cases too, for instance it makes sense that NegativeBinomial and ZINB should have mutual "see also" links. And also we should consider simplifications, for instance merge Normal with StandardNormal, or StudentT 1, 2 and 3 together with NoncentralT1. Still it could be a good guide.

Other sources for stories or useful information can be https://distribution-explorer.github.io/discrete/bernoulli.html and https://www.acsu.buffalo.edu/~adamcunn/probability/betabinomial.html

[aleicazatti]

Progress tracker for individual distribution pages:

• [x] AsymmetricLaplace
• [x] Beta
• [x] BetaScaled
• [x] Cauchy
• [x] Censored
• [x] ChiSquared
• [x] ExGaussian
• [x] Exponential
• [x] Gamma
• [x] Gumbel
• [x] HalfCauchy
• [x] HalfNormal
• [x] HalfStudentT
• [x] InverseGamma
• [x] Kumaraswamy
• [x] Laplace
• [x] LogNormal
• [x] Logistic
• [x] LogLogistic
• [x] LogitNormal
• [x] Moyal
• [x] Normal
• [x] Pareto
• [x] Rice
• [x] SkewNormal
• [x] StudentT
• [x] SkewStudentT
• [x] Triangular
• [x] Truncated
• [x] TruncatedNormal
• [x] Uniform
• [x] VonMises
• [x] Wald
• [x] Weibull
• [x] Bernoulli
• [x] BetaBinomial
• [x] Binomial
• [x] Categorical
• [x] DiscreteUniform
• [x] DiscreteWeibull
• [x] Geometric
• [x] HyperGeometric
• [x] NegativeBinomial
• [x] Poisson
• [x] ZeroInflatedBinomial
• [x] ZeroInflatedNegativeBinomial
• [x] ZeroInflatedPoisson
• [x] Dirichlet
• [x] MvNormal
• [x] Mixture (add "(Mixture_gallery)=" link, see Censored)
• [x] Hurdle (add "(Hurdle_gallery)=" link, see Censored)

[aleicazatti]

I'm working on the Student's T

[aleicazatti]

I will continue with the logistic distribution

[aleicazatti]

Working on Cauchy

[aleicazatti]

Working on lognormal

[aleicazatti]

Working on exponential

[aloctavodia]

Working on Poisson

[aleicazatti]

Working on continuous uniform

[aloctavodia]

working on AsymetricLaplace

[aleicazatti]

Working on ChiSquared

[aleicazatti]

working on Gamma

[aleicazatti]

working on ExGaussian

[aleicazatti]

Working on HalfCauchy

[aleicazatti]

Working on HalfNormal

[aleicazatti]

Working on HalfStudentT

[aleicazatti]

Working on InverseGamma

[aleicazatti]

Working on Kumaraswamy

[aleicazatti]

Working on Laplace

[aleicazatti]

Working on Log-Logistic

[aleicazatti]

Working on LogitNormal

[aleicazatti]

Working on Moyal

[aleicazatti]

Working on Pareto

[aleicazatti]

Working on Rice

[aleicazatti]

Working on SkewNormal

[aleicazatti]

Working on SkewStudentT

[aleicazatti]

Working on Triangular

[aleicazatti]

Working on TruncatedNormal

[aleicazatti]

Working on VonMises