Copulas.jl
Copulas.jl: A fully Distributions.jl-compliant copula package - Published in JOSS (2024)
Science Score: 100.0%
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Published in Journal of Open Source Software
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Repository
A fully `Distributions.jl`-compliant copula package
Basic Info
- Host: GitHub
- Owner: lrnv
- License: mit
- Language: Julia
- Default Branch: main
- Homepage: https://lrnv.github.io/Copulas.jl/
- Size: 14.5 MB
Statistics
- Stars: 103
- Watchers: 3
- Forks: 10
- Open Issues: 33
- Releases: 31
Topics
Metadata Files
README.md
Copulas.jl
A fully `Distributions.jl`-compliant copula package
Copulas.jl brings most standard copula features into native Julia: random number generation, pdf and cdf, fitting, copula-based multivariate distributions through Sklar's theorem, etc. Since copulas are distribution functions, we fully comply with the Distributions.jl API. This allows interoperability with the broader ecosystem, based on this API, such as, e.g., Turing.jl.
Usually, people that use and work with copulas turn to R, because of the amazing package R::copula. While well-maintained and regularly updated, R::copula is a mixture of obscure, heavily optimized C code and more standard R code, which makes it a complicated code base for readability, extensibility, reliability and maintenance.
This is an attempt to provide a very light, fast, reliable and maintainable copula implementation in native Julia. One of the notable benefits of such a native implementation (among others) is the floating point type agnosticity, i.e. compatibility with BigFloat, DoubleFloats, MultiFloats, etc.
The package revolves around two main types:
Copula, an abstract mother type for all the copulas in the packageSklarDist, a distribution type that allows construction of a multivariate distribution by specifying the copula and the marginals through Sklar's theorem.
Warning: This is fairly experimental work, use with caution.
Getting started
The package is registered in Julia's General registry so you may simply install the package by running :
julia
] add Copulas
The API contains random number generation, cdf and pdf evaluation, and the fit function from Distributions.jl. A typical use case might look like this:
```julia using Copulas, Distributions, Random X₁ = Gamma(2,3) X₂ = Pareto() X₃ = LogNormal(0,1) C = ClaytonCopula(3,0.7) # A 3-variate Clayton Copula with θ = 0.7 D = SklarDist(C,(X₁,X₂,X₃)) # The final distribution
simu = rand(D,1000) # Generate a dataset
You may estimate a copula using the fit function:
D̂ = fit(SklarDist{ClaytonCopula,Tuple{Gamma,Normal,LogNormal}}, simu) ```
The list of availiable copula models is very large, check it out on our documentation !
The general implementation philosophy is for the code to follow the mathematical boundaries of the implemented concepts. For example, this is the only implementation we know (in any language) that allows for all Archimedean copulas to be sampled: we use the Williamson transformation for non-standard generators, including user-provided black-box ones.
Feature comparison
There are competing packages in Julia, such as BivariateCopulas.jl which only deals with a few models in bivariate settings but has very nice graphs, or DatagenCopulaBased.jl, which only provides sampling and does not have exactly the same models as Copulas.jl. While not fully covering out both of these package's functionality (mostly because the three projects chose different implementation paths), Copulas.jl brings, as a key feature, the compliance with the broader ecosystem. The following table provides a feature comparison between the three:
| | Copulas.jl | DatagenCopulaBased.jl | BivariateCopulas.jl |
|----------------|--------------|-------------------------|-----------------------|
| Distributions.jl's API | ✔️ | ❌ | ✔️ |
| Fitting | ✔️ | ❌ | ❌ |
| Plotting | ❌ | ❌ | ✔️ |
| Available copulas | | | |
| - Classic Bivariate | ✔️ | ✔️ | ✔️ |
| - Classic Multivariate | ✔️ | ✔️ | ❌ |
| - Archimedeans | ✔️ (All of them) | ⚠️ Selected ones | ⚠️Selected ones |
| - Bivariate Extreme Value| ✔️ | ❌ | ❌ |
| - Obscure Bivariate | ✔️ | ❌ | ❌ |
| - Archimedean Chains | ❌ | ✔️ | ❌ |
Since our primary target is maintainability and readability of the implementation, we did not consider the efficiency and the performance of the code yet. Proper benchmarks will come in the near future.
Contributions are welcome
If you want to contribute to the package, ask a question, found a bug or simply want to chat, do not hesitate to open an issue on this repo. General guidelines on collaborative practices (colprac) are available at https://github.com/SciML/ColPrac.
Citation
Do not hesitate to star this repository to show support. If you use this package in your researches, please cite it with the following bibtex code:
bibtex
@article{LavernyJimenez2024,
author = {Oskar Laverny and Santiago Jimenez},
title = {Copulas.jl: A fully Distributions.jl-compliant copula package},
journal = {Journal of Open Source Software},
doi = {10.21105/joss.06189},
url = {https://doi.org/10.21105/joss.06189},
year = {2024},
publisher = {The Open Journal},
volume = {9},
number = {94},
pages = {6189}
}
Owner
- Name: Oskar Laverny
- Login: lrnv
- Kind: user
- Location: Brussels
- Company: UCLouvain
- Website: actuarial.science
- Repositories: 5
- Profile: https://github.com/lrnv
What would be the dependence structure between quality of code and quantity of coffee ?
JOSS Publication
Copulas.jl: A fully Distributions.jl-compliant copula package
Authors
Tags
julia copula dependence statisticsCitation (CITATION.bib)
@article{Laverny2024,
doi = {10.21105/joss.06189},
url = {https://doi.org/10.21105/joss.06189},
year = {2024},
publisher = {The Open Journal},
volume = {9},
number = {94},
pages = {6189},
author = {Oskar Laverny and Santiago Jimenez},
title = {Copulas.jl: A fully Distributions.jl-compliant copula package}, journal = {Journal of Open Source Software}
}
GitHub Events
Total
- Create event: 22
- Commit comment event: 9
- Release event: 4
- Issues event: 15
- Watch event: 15
- Delete event: 10
- Issue comment event: 75
- Push event: 49
- Pull request review event: 12
- Pull request review comment event: 15
- Pull request event: 30
- Fork event: 1
Last Year
- Create event: 28
- Commit comment event: 9
- Release event: 4
- Issues event: 15
- Watch event: 15
- Delete event: 14
- Issue comment event: 77
- Push event: 54
- Pull request review event: 12
- Pull request review comment event: 15
- Pull request event: 39
- Fork event: 1
Committers
Last synced: 5 months ago
Top Committers
| Name | Commits | |
|---|---|---|
| Oskar Laverny | o****y@g****m | 309 |
| Santymax98 | 1****8 | 15 |
| CompatHelper Julia | c****y@j****g | 10 |
| dependabot[bot] | 4****] | 8 |
| github-actions[bot] | 4****] | 5 |
| Øystein Sørensen | o****n@h****m | 4 |
| szcf-weiya | s****a@g****m | 2 |
| mlkrock | m****k@c****u | 2 |
| pdeffebach | 2****h | 1 |
| Leandro Martínez | 3****q | 1 |
| Jasper Behrensdorf | j****r@b****e | 1 |
| Herb Susmann | h****0@g****m | 1 |
| Dilum Aluthge | d****m@a****m | 1 |
Committer Domains (Top 20 + Academic)
Issues and Pull Requests
Last synced: 4 months ago
All Time
- Total issues: 90
- Total pull requests: 245
- Average time to close issues: about 1 month
- Average time to close pull requests: 9 days
- Total issue authors: 18
- Total pull request authors: 12
- Average comments per issue: 1.78
- Average comments per pull request: 1.41
- Merged pull requests: 202
- Bot issues: 0
- Bot pull requests: 34
Past Year
- Issues: 10
- Pull requests: 65
- Average time to close issues: 3 days
- Average time to close pull requests: 8 days
- Issue authors: 4
- Pull request authors: 6
- Average comments per issue: 0.7
- Average comments per pull request: 1.69
- Merged pull requests: 46
- Bot issues: 0
- Bot pull requests: 9
Top Authors
Issue Authors
- lrnv (64)
- Santymax98 (7)
- rand5 (3)
- osorensen (2)
- droodman (1)
- PharmCat (1)
- DomDF (1)
- JuliaTagBot (1)
- EthanRLeonard (1)
- mlkrock (1)
- lidiamandre (1)
- alecloudenback (1)
- andreasnoack (1)
- HJW019 (1)
- Vaibhavdixit02 (1)
Pull Request Authors
- lrnv (168)
- Santymax98 (23)
- github-actions[bot] (20)
- dependabot[bot] (14)
- osorensen (8)
- szcf-weiya (2)
- DilumAluthge (2)
- lmiq (2)
- pdeffebach (2)
- mlkrock (2)
- herbps10 (1)
- FriesischScott (1)
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Packages
- Total packages: 1
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Total downloads:
- julia 257 total
- Total dependent packages: 2
- Total dependent repositories: 0
- Total versions: 31
juliahub.com: Copulas
A fully `Distributions.jl`-compliant copula package
- Homepage: https://lrnv.github.io/Copulas.jl/
- Documentation: https://docs.juliahub.com/General/Copulas/stable/
- License: MIT
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Latest release: 0.1.30
published 6 months ago
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