Package: distributional 0.9.0

distributional: Vectorised Probability Distributions

Vectorised distribution objects with tools for manipulating, visualising, and using probability distributions. Designed to allow model prediction outputs to return distributions rather than their parameters, allowing users to directly interact with predictive distributions in a data-oriented workflow. In addition to providing generic replacements for p/d/q/r functions, other useful statistics can be computed including means, variances, intervals, and highest density regions.

Authors:Mitchell O'Hara-Wild [aut, cre], Matthew Kay [aut], Alex Hayes [aut], Rob Hyndman [aut], Earo Wang [ctb], Vencislav Popov [ctb], Stefano Damato [ctb]

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manual.pdf |manual.html✨
DESCRIPTION |NEWS
card.svg |card.png
distributional/json (API)

# Install 'distributional' in R:

install.packages('distributional', repos = c('https://mitchelloharawild.r-universe.dev', 'https://cloud.r-project.org'))

Bug tracker:https://github.com/mitchelloharawild/distributional/issues

Pkgdown/docs site:https://pkg.mitchelloharawild.com

On CRAN:

probability-distribution statistics vctrs

16.19 score 114 stars 472 packages 1.6k scripts 714k downloads 71 exports 9 dependencies

Last updated from:246787048c. Checks:9 OK. Indexed: yes.

Target	Result	Time
linux-devel	OK	166
source / vignettes	OK	295
linux-release	OK	165
macos-release	OK	115
macos-oldrel	OK	134
windows-devel	OK	120
windows-release	OK	116
windows-oldrel	OK	120
wasm-release	OK	136

Exports:cdf covariance dist_bernoulli dist_beta dist_binomial dist_burr dist_categorical dist_cauchy dist_cdf dist_chisq dist_convolved dist_degenerate dist_density dist_dirichlet dist_exponential dist_f dist_gamma dist_geometric dist_gev dist_gh dist_gk dist_gpd dist_gumbel dist_horseshoe dist_hypergeometric dist_inflated dist_inverse_exponential dist_inverse_gamma dist_inverse_gaussian dist_laplace dist_logarithmic dist_logistic dist_lognormal dist_missing dist_mixture dist_multinomial dist_multivariate_normal dist_multivariate_t dist_negative_binomial dist_normal dist_pareto dist_percentile dist_poisson dist_poisson_inverse_gaussian dist_quantile dist_sample dist_student_t dist_studentized_range dist_transformed dist_truncated dist_tweedie dist_uniform dist_weibull dist_wrap generate has_symmetry hdr hilo is_distribution is_hdr is_hilo kurtosis likelihood log_likelihood new_dist new_hdr new_hilo parameters skewness support variance

Dependencies:cli generics glue lifecycle numDeriv pillar rlang utf8 vctrs

Broadcasting rules

Rendered frombroadcasting.Rmdusingknitr::rmarkdown

Last update: 2026-07-30
Started: 2026-07-30

Help page	Topics
The cumulative distribution function	cdf cdf.distribution
Covariance	covariance
Covariance of a probability distribution	covariance.distribution
The probability density/mass function	density.distribution
The Bernoulli distribution	dist_bernoulli
The Beta distribution	dist_beta
The Binomial distribution	dist_binomial
The Burr distribution	dist_burr
The Categorical distribution	dist_categorical
The Cauchy distribution	dist_cauchy
Cumulative distribution function distribution	dist_cdf
The (non-central) Chi-Squared Distribution	dist_chisq
A convolved distribution	dist_convolved
The degenerate distribution	dist_degenerate
Density distribution	dist_density
The Dirichlet distribution	dist_dirichlet
The Exponential Distribution	dist_exponential
The F Distribution	dist_f
The Gamma distribution	dist_gamma
The Geometric Distribution	dist_geometric
The Generalized Extreme Value Distribution	dist_gev
The generalised g-and-h Distribution	dist_gh
The g-and-k Distribution	dist_gk
The Generalized Pareto Distribution	dist_gpd
The Gumbel distribution	dist_gumbel
The Horseshoe distribution	dist_horseshoe
The Hypergeometric distribution	dist_hypergeometric
Inflate a value of a probability distribution	dist_inflated
The Inverse Exponential distribution	dist_inverse_exponential
The Inverse Gamma distribution	dist_inverse_gamma
The Inverse Gaussian distribution	dist_inverse_gaussian
The Laplace distribution	dist_laplace
The Logarithmic distribution	dist_logarithmic
The Logistic distribution	dist_logistic
The log-normal distribution	dist_lognormal
Missing distribution	dist_missing
Create a mixture of distributions	dist_mixture
The Multinomial distribution	dist_multinomial
The multivariate normal distribution	dist_multivariate_normal
The multivariate t-distribution	dist_multivariate_t
The Negative Binomial distribution	dist_negative_binomial
The Normal distribution	dist_normal
The Pareto Distribution	dist_pareto
The Poisson Distribution	dist_poisson
The Poisson-Inverse Gaussian distribution	dist_poisson_inverse_gaussian
Quantile distribution	dist_percentile dist_quantile
Sampling distribution	dist_sample
The (non-central) location-scale Student t Distribution	dist_student_t
The Studentized Range distribution	dist_studentized_range
Modify a distribution with a transformation	dist_transformed
Truncate a distribution	dist_truncated
The Tweedie distribution	dist_tweedie
The Uniform distribution	dist_uniform
The Weibull distribution	dist_weibull
Create a distribution from p/d/q/r style functions	dist_wrap
Extract the name of the distribution family	family.distribution
Randomly sample values from a distribution	generate.distribution
Check if a distribution is symmetric	has_symmetry
Compute highest density regions	hdr
Highest density regions of probability distributions	hdr.distribution
Compute intervals	hilo
Probability intervals of a probability distribution	hilo.distribution
Test if the object is a distribution	is_distribution
Is the object a hdr	is_hdr
Is the object a hilo	is_hilo
Kurtosis of a probability distribution	kurtosis kurtosis.distribution
The (log) likelihood of a sample matching a distribution	likelihood likelihood.distribution log_likelihood
Mean of a probability distribution	mean.distribution
Median of a probability distribution	median.distribution
Construct distributions	new_dist
Construct hdr intervals	new_hdr
Construct hilo intervals	new_hilo
Construct support regions	new_support_region
Extract the parameters of a distribution	parameters parameters.distribution
Distribution Quantiles	quantile.distribution
Skewness of a probability distribution	skewness skewness.distribution
Region of support of a distribution	support support.distribution
Variance	covariance.numeric variance variance.matrix variance.numeric
Variance of a probability distribution	variance.distribution

Package: distributional 0.9.0

distributional: Vectorised Probability Distributions

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