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copula: Multivariate Dependence with Copulas

Classes (S4) of commonly used elliptical, Archimedean, extreme-value and other copula families, as well as their rotations, mixtures and asymmetrizations. Nested Archimedean copulas, related tools and special functions. Methods for density, distribution, random number generation, bivariate dependence measures, Rosenblatt transform, Kendall distribution function, perspective and contour plots. Fitting of copula models with potentially partly fixed parameters, including standard errors. Serial independence tests, copula specification tests (independence, exchangeability, radial symmetry, extreme-value dependence, goodness-of-fit) and model selection based on cross-validation. Empirical copula, smoothed versions, and non-parametric estimators of the Pickands dependence function.

Version: 1.1-4
Depends: R (≥ 3.5.0)
Imports: stats, graphics, methods, stats4, Matrix (≥ 1.5-0), lattice, colorspace, gsl, ADGofTest, stabledist (≥ 0.6-4), mvtnorm, pcaPP, pspline, numDeriv
Suggests: MASS, KernSmooth, sfsmisc, scatterplot3d, Rmpfr, bbmle, knitr, rmarkdown, abind, crop, gridExtra, lcopula, mev, mvnormtest, parallel, partitions, polynom, qrng, randtoolbox, rugarch, Runuran, tseries, VGAM, VineCopula, zoo
Enhances: nor1mix, copulaData
Published: 2024-08-17
DOI: 10.32614/CRAN.package.copula
Author: Marius Hofert ORCID iD [aut], Ivan Kojadinovic ORCID iD [aut], Martin Maechler ORCID iD [aut, cre], Jun Yan ORCID iD [aut], Johanna G. Nešlehová ORCID iD [ctb] (evTestK()), Rebecca Morger [ctb] (fitCopula.ml(): code for free mixCopula weight parameters)
Maintainer: Martin Maechler <maechler at stat.math.ethz.ch>
BugReports: https://r-forge.r-project.org/tracker/?func=add&group_id=2140&atid=5417
License: GPL (≥ 3) | file LICENCE
URL: https://copula.r-forge.r-project.org/, https://r-forge.r-project.org/projects/copula/, https://CRAN.r-project.org/package=copula
NeedsCompilation: yes
SystemRequirements: pdfcrop (part of TexLive) is required to rebuild the vignettes.
Citation: copula citation info
Materials: NEWS ChangeLog
In views: Distributions, ExtremeValue, Finance
CRAN checks: copula results

Documentation:

Reference manual: copula.pdf
Vignettes: Archimedean Liouville Copulas (source, R code)
MLE and Quantile Evaluation for a Clayton AR(1) Model with Student Marginals (source, R code)
Generalized Inverse Gaussian Archimedean Copulas (source, R code)
Hierarchical Archimax Copulas (source, R code)
Nested Archimedean Lévy Copulas (source, R code)
The Copula GARCH Model (source, R code)
Densities of Two-Level Nested Archimedean Copulas (source, R code)
Exploring Empirical Copulas (source, R code)
Log-Likelihood Visualization for Archimedean Copulas (source, R code)
Quasi-Random Numbers for Copula Models (source, R code)
Wild Animals: Examples of Nonstandard Copulas (source, R code)
Numerically stable Frank Copulas via Multiprecision (Rmpfr) (source, R code)
Nested Archimedean Copulas Meet R (source, R code)
Beautiful Spearman's Rho for AMH Copula (source, R code)

Downloads:

Package source: copula_1.1-4.tar.gz
Windows binaries: r-devel: copula_1.1-4.zip, r-release: copula_1.1-4.zip, r-oldrel: copula_1.1-4.zip
macOS binaries: r-release (arm64): copula_1.1-4.tgz, r-oldrel (arm64): copula_1.1-4.tgz, r-release (x86_64): copula_1.1-4.tgz, r-oldrel (x86_64): copula_1.1-4.tgz
Old sources: copula archive

Reverse dependencies:

Reverse depends: censorcopula, ClusterStability, CoClust, CoImp, CopCTS, COST, gofCopula, HAC, HMMcopula, lcopula, MixedIndTests, NCSCopula, RGENERATEPREC, VC2copula, vfcp, vines
Reverse imports: bfboinet, bivgeom, boinet, BSL, cascsim, cases, cds, ClustImpute, CompAREdesign, CopulaCenR, copulaedas, cylcop, depcoeff, discnorm, drought, EFDR, ExtremalDep, ExtremeRisks, flood, gamCopula, gasmodel, GJRM, gnn, Kcop, LMMstar, MCARtest, MLCOPULA, multinma, mvnormalTest, nvmix, Omisc, PAsso, pbox, pgee.mixed, PortRisk, PPMiss, psBayesborrow, qad, qch, RCTrep, scBFA, SemiPar.depCens, sgee, SubTS, surrosurv, survivalMPLdc, svars, tailDepFun, TempStable, WINS, zipfextR
Reverse suggests: copBasic, docopulae, ffp, intcensROC, kyotil, nor1mix, npcp, qrmtools, qrng, RDM, rlcv, robustrank, rsurv, simcausal, SimDesign, simsalapar, simsem, Surrogate, univariateML, VecDep, wdm, zenplots
Reverse enhances: copulaData

Linking:

Please use the canonical form https://CRAN.R-project.org/package=copula to link to this page.

These binaries (installable software) and packages are in development.
They may not be fully stable and should be used with caution. We make no claims about them.