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lrnv committed Feb 10, 2024
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Expand Up @@ -43,15 +43,15 @@ There are competing packages in Julia, such as [`BivariateCopulas.jl`](https://g

| Characteristic | `Copulas.jl` | `DatagenCopulaBased.jl` | `BivariateCopulas.jl` |
|-----------------------------------------------|--------------------|------------------------------|---------------------------|
| `Distributions.jl`'s API | ✔️ | | ✔️ |
| Fitting | ✔️ | ✔️ | |
| Plotting | | | ✔️ |
| `Distributions.jl`'s API | `✔️` | `` | `✔️` |
| Fitting | `✔️` | `✔️` | `` |
| Plotting | `` | `` | `✔️` |
| Available copulas | | | |
| - Classic Bivariate | ✔️ | ✔️ | ✔️ |
| - Classic Multivariate | ✔️ | ✔️ | |
| - Archimedeans | ✔️ (All of them) | ⚠️ Selected ones | ⚠️Selected ones |
| - Obscure Bivariate | ✔️ | | |
| - Archimedean Chains | | ✔️ | |
| - Classic Bivariate | `✔️` | `✔️` | `✔️` |
| - Classic Multivariate | `✔️` | `✔️` | `` |
| - Archimedeans | `✔️` (All of them) | `⚠️` Selected ones | `⚠️` Selected ones |
| - 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. However, a (limited in scope) benchmark on Clayton's pdf shows competitive behavior of our implementation. To perform this test we use the [`BenchmarkTools.jl`](https://github.com/JuliaCI/BenchmarkTools.jl) [@BenchmarkTools] package and generate 10^6 samples for Clayton copulas of dimensions 2, 5, 10 with parameter 0.8:

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