| abs_smooth | Smooth approximation to the absolute value function |
| bccg | Box–Cox Cole and Green distribution (BCCG) |
| bcpe | Box-Cox Power Exponential distribution (BCPE) |
| bct | Box–Cox t distribution (BCT) |
| beta2 | Reparameterised beta distribution |
| betabinom | Beta-binomial distribution |
| betaprime | Beta prime distribution |
| cclayton | Clayton copula constructors |
| cfrank | Frank copula constructor |
| cgaussian | Gaussian copula constructor |
| cgmrf | Multivariate Gaussian copula constructor parameterised by... |
| cgumbel | Gumbel copula constructors |
| cmvgauss | Multivariate Gaussian copula constructor |
| dcopula | Joint density under a bivariate copula |
| ddcopula | Joint probability under a discrete bivariate copula |
| dirichlet | Dirichlet distribution |
| dirmult | Dirichlet-multinomial distribution |
| dmvcopula | Joint density under a multivariate copula |
| erf | AD-compatible error function and complementary error function |
| exgauss | Exponentially modified Gaussian distribution |
| foldnorm | Folded normal distribution |
| gamma2 | Reparameterised gamma distribution |
| gengamma | Generalised Gamma distribution (GG) |
| genpois | Generalised Poisson distribution |
| gumbel | Gumbel distribution |
| invchisq | Inverse Chi-squared distribution |
| invgamma | Inverse Gamma distribution |
| invgauss | Inverse Gaussian distribution |
| kumar | Kumaraswamy distribution |
| laplace | Laplace distribution |
| mvt | Multivariate t distribution |
| nbinom2 | Reparameterised negative binomial distribution |
| oibeta | One-inflated beta distribution |
| oibeta2 | Reparameterised one-inflated beta distribution |
| pareto | Pareto distribution |
| pgweibull | Power generalized Weibull distribution |
| powerexp | Power Exponential distribution (PE and PE2) |
| skellam | Skellam distribution |
| skewnorm | Skew normal distribution |
| skewnorm2 | Reparameterised skew normal distribution |
| skewt | Skewed students t distribution |
| skewt2 | Moment-parameterised skew t distribution |
| t2 | Student t distribution with location and scale |
| truncnorm | Truncated normal distribution |
| trunct | Truncated t distribution |
| trunct2 | Truncated t distribution with location and scale |
| vm | von Mises distribution |
| vmf | von Mises-Fisher distribution |
| vmf2 | Reparameterised von Mises-Fisher distribution |
| wishart | Wishart distribution |
| wrpcauchy | wrapped Cauchy distribution |
| zero_inflate | Zero-inflated density constructer |
| zibeta | Zero-inflated beta distribution |
| zibeta2 | Reparameterised zero-inflated beta distribution |
| zibinom | Zero-inflated binomial distribution |
| zigamma | Zero-inflated gamma distribution |
| zigamma2 | Zero-inflated and reparameterised gamma distribution |
| ziinvgauss | Zero-inflated inverse Gaussian distribution |
| zilnorm | Zero-inflated log normal distribution |
| zinbinom | Zero-inflated negative binomial distribution |
| zinbinom2 | Zero-inflated and reparameterised negative binomial... |
| zipois | Zero-inflated Poisson distribution |
| ziweibull | Zero-inflated Weibull distribution |
| zoibeta | Zero- and one-inflated beta distribution |
| zoibeta2 | Reparameterised zero- and one-inflated beta distribution |
| ztbinom | Zero-truncated Binomial distribution |
| ztnbinom | Zero-truncated Negative Binomial distribution |
| ztnbinom2 | Reparameterised zero-truncated negative binomial distribution |
| ztpois | Zero-truncated Poisson distribution |
