R: Distributions Compatible with Automatic Differentiation by 'RTMB'

# Distributions Compatible with Automatic Differentiation by 'RTMB'

## Documentation for package ‘RTMBdist’ version 1.0.5

- DESCRIPTION file.
- User guides, package vignettes and other documentation.
- Package NEWS.

## Help Pages

A B C D E F G H I K L M N O P Q R S T V W Z

## -- A --

abs_smooth | Smooth approximation to the absolute value function

## -- B --

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

## -- C --

Cclayton | Clayton copula constructors
cclayton | Clayton copula constructors
Cfrank | Frank copula constructor
cfrank | Frank copula constructor
cgaussian | Gaussian copula constructor
cgmrf | Multivariate Gaussian copula constructor parameterised by inverse correlation matrix
Cgumbel | Gumbel copula constructors
cgumbel | Gumbel copula constructors
cmvgauss | Multivariate Gaussian copula constructor

## -- D --

dbccg | Box–Cox Cole and Green distribution (BCCG)
dbcpe | Box-Cox Power Exponential distribution (BCPE)
dbct | Box–Cox t distribution (BCT)
dbeta | Reparameterised beta distribution
dbeta2 | Reparameterised beta distribution
dbetabinom | Beta-binomial distribution
dbetaprime | Beta prime distribution
dcopula | Joint density under a bivariate copula
ddcopula | Joint probability under a discrete bivariate copula
ddirichlet | Dirichlet distribution
ddirmult | Dirichlet-multinomial distribution
dexgauss | Exponentially modified Gaussian distribution
dfoldnorm | Folded normal distribution
dgamma2 | Reparameterised gamma distribution
dgengamma | Generalised Gamma distribution (GG)
dgenpois | Generalised Poisson distribution
dgompertz | Gompertz distribution
dgumbel | Gumbel distribution
dinvchisq | Inverse Chi-squared distribution
dinvgamma | Inverse Gamma distribution
dinvgauss | Inverse Gaussian distribution
dirichlet | Dirichlet distribution
dirmult | Dirichlet-multinomial distribution
dkumar | Kumaraswamy distribution
dlaplace | Laplace distribution
dllogis | Log-logistic distribution
dmvcopula | Joint density under a multivariate copula
dmvt | Multivariate t distribution
dnbinom2 | Reparameterised negative binomial distribution
doibeta | One-inflated beta distribution
doibeta2 | Reparameterised one-inflated beta distribution
dpareto | Pareto distribution
dpgweibull | Power generalized Weibull distribution
dpowerexp | Power Exponential distribution (PE and PE2)
dpowerexp2 | Power Exponential distribution (PE and PE2)
dskellam | Skellam distribution
dskewnorm | Skew normal distribution
dskewnorm2 | Reparameterised skew normal distribution
dskewt | Skewed students t distribution
dskewt2 | Moment-parameterised skew t distribution
dt2 | Student t distribution with location and scale
dtruncnorm | Truncated normal distribution
dtrunct | Truncated t distribution
dtrunct2 | Truncated t distribution with location and scale
dvm | von Mises distribution
dvmf | von Mises-Fisher distribution
dvmf2 | Reparameterised von Mises-Fisher distribution
dwishart | Wishart distribution
dwrpcauchy | wrapped Cauchy distribution
dzibeta | Zero-inflated beta distribution
dzibeta2 | Reparameterised zero-inflated beta distribution
dzibinom | Zero-inflated binomial distribution
dzigamma | Zero-inflated gamma distribution
dzigamma2 | Zero-inflated and reparameterised gamma distribution
dziinvgauss | Zero-inflated inverse Gaussian distribution
dzilnorm | Zero-inflated log normal distribution
dzinbinom | Zero-inflated negative binomial distribution
dzinbinom2 | Zero-inflated and reparameterised negative binomial distribution
dzipois | Zero-inflated Poisson distribution
dziweibull | Zero-inflated Weibull distribution
dzoibeta | Zero- and one-inflated beta distribution
dzoibeta2 | Reparameterised zero- and one-inflated beta distribution
dztbinom | Zero-truncated Binomial distribution
dztnbinom | Zero-truncated Negative Binomial distribution
dztnbinom2 | Reparameterised zero-truncated negative binomial distribution
dztpois | Zero-truncated Poisson distribution

## -- E --

erf | AD-compatible error function and complementary error function
erfc | AD-compatible error function and complementary error function
exgauss | Exponentially modified Gaussian distribution

## -- F --

foldnorm | Folded normal distribution

## -- G --

gamma2 | Reparameterised gamma distribution
gengamma | Generalised Gamma distribution (GG)
genpois | Generalised Poisson distribution
gompertz | Gompertz distribution
gumbel | Gumbel distribution

## -- H --

hpgweibull | Power generalized Weibull distribution

## -- I --

invchisq | Inverse Chi-squared distribution
invgamma | Inverse Gamma distribution
invgauss | Inverse Gaussian distribution

## -- K --

kumar | Kumaraswamy distribution

## -- L --

laplace | Laplace distribution
llogis | Log-logistic distribution

## -- M --

mcreport | Sample parameters from approximate Gaussian posterior distribution
mvt | Multivariate t distribution

## -- N --

nbinom2 | Reparameterised negative binomial distribution

## -- O --

oibeta | One-inflated beta distribution
oibeta2 | Reparameterised one-inflated beta distribution

## -- P --

pareto | Pareto distribution
pbccg | Box–Cox Cole and Green distribution (BCCG)
pbcpe | Box-Cox Power Exponential distribution (BCPE)
pbct | Box–Cox t distribution (BCT)
pbeta2 | Reparameterised beta distribution
pbetaprime | Beta prime distribution
pexgauss | Exponentially modified Gaussian distribution
pfoldnorm | Folded normal distribution
pgamma2 | Reparameterised gamma distribution
pgengamma | Generalised Gamma distribution (GG)
pgenpois | Generalised Poisson distribution
pgompertz | Gompertz distribution
pgumbel | Gumbel distribution
pgweibull | Power generalized Weibull distribution
pinvchisq | Inverse Chi-squared distribution
pinvgamma | Inverse Gamma distribution
pinvgauss | Inverse Gaussian distribution
pkumar | Kumaraswamy distribution
plaplace | Laplace distribution
pllogis | Log-logistic distribution
plnorm | Zero-inflated log normal distribution
pnbinom2 | Reparameterised negative binomial distribution
poibeta | One-inflated beta distribution
poibeta2 | Reparameterised one-inflated beta distribution
powerexp | Power Exponential distribution (PE and PE2)
ppareto | Pareto distribution
ppgweibull | Power generalized Weibull distribution
ppowerexp | Power Exponential distribution (PE and PE2)
ppowerexp2 | Power Exponential distribution (PE and PE2)
pskewnorm | Skew normal distribution
pskewnorm2 | Reparameterised skew normal distribution
pskewt | Skewed students t distribution
pskewt2 | Moment-parameterised skew t distribution
pt | Student t distribution with location and scale
pt2 | Student t distribution with location and scale
ptruncnorm | Truncated normal distribution
ptrunct | Truncated t distribution
ptrunct2 | Truncated t distribution with location and scale
pvm | von Mises distribution
pzibeta | Zero-inflated beta distribution
pzibeta2 | Reparameterised zero-inflated beta distribution
pzibinom | Zero-inflated binomial distribution
pzigamma | Zero-inflated gamma distribution
pzigamma2 | Zero-inflated and reparameterised gamma distribution
pziinvgauss | Zero-inflated inverse Gaussian distribution
pzilnorm | Zero-inflated log normal distribution
pzinbinom | Zero-inflated negative binomial distribution
pzinbinom2 | Zero-inflated and reparameterised negative binomial distribution
pzipois | Zero-inflated Poisson distribution
pziweibull | Zero-inflated Weibull distribution
pzoibeta | Zero- and one-inflated beta distribution
pzoibeta2 | Reparameterised zero- and one-inflated beta distribution
pztbinom | Zero-truncated Binomial distribution
pztnbinom | Zero-truncated Negative Binomial distribution
pztnbinom2 | Reparameterised zero-truncated negative binomial distribution
pztpois | Zero-truncated Poisson distribution

## -- Q --

qbccg | Box–Cox Cole and Green distribution (BCCG)
qbcpe | Box-Cox Power Exponential distribution (BCPE)
qbct | Box–Cox t distribution (BCT)
qbeta2 | Reparameterised beta distribution
qbetaprime | Beta prime distribution
qexgauss | Exponentially modified Gaussian distribution
qgamma2 | Reparameterised gamma distribution
qgengamma | Generalised Gamma distribution (GG)
qgenpois | Generalised Poisson distribution
qgompertz | Gompertz distribution
qgumbel | Gumbel distribution
qinvchisq | Inverse Chi-squared distribution
qinvgamma | Inverse Gamma distribution
qinvgauss | Inverse Gaussian distribution
qkumar | Kumaraswamy distribution
qlaplace | Laplace distribution
qllogis | Log-logistic distribution
qnbinom2 | Reparameterised negative binomial distribution
qpareto | Pareto distribution
qpgweibull | Power generalized Weibull distribution
qpowerexp | Power Exponential distribution (PE and PE2)
qpowerexp2 | Power Exponential distribution (PE and PE2)
qskewnorm | Skew normal distribution
qskewnorm2 | Reparameterised skew normal distribution
qskewt | Skewed students t distribution
qskewt2 | Moment-parameterised skew t distribution
qt2 | Student t distribution with location and scale
qtruncnorm | Truncated normal distribution
qtrunct | Truncated t distribution
qtrunct2 | Truncated t distribution with location and scale

## -- R --

rbccg | Box–Cox Cole and Green distribution (BCCG)
rbcpe | Box-Cox Power Exponential distribution (BCPE)
rbct | Box–Cox t distribution (BCT)
rbeta2 | Reparameterised beta distribution
rbetabinom | Beta-binomial distribution
rbetaprime | Beta prime distribution
rdirichlet | Dirichlet distribution
rdirmult | Dirichlet-multinomial distribution
rexgauss | Exponentially modified Gaussian distribution
rfoldnorm | Folded normal distribution
rgamma2 | Reparameterised gamma distribution
rgengamma | Generalised Gamma distribution (GG)
rgenpois | Generalised Poisson distribution
rgmrf | Sample from a multivariate Gaussian with a sparse precision matrix
rgompertz | Gompertz distribution
rgumbel | Gumbel distribution
rinvchisq | Inverse Chi-squared distribution
rinvgamma | Inverse Gamma distribution
rinvgauss | Inverse Gaussian distribution
rkumar | Kumaraswamy distribution
rlaplace | Laplace distribution
rllogis | Log-logistic distribution
rmvt | Multivariate t distribution
rnbinom2 | Reparameterised negative binomial distribution
roibeta | One-inflated beta distribution
roibeta2 | Reparameterised one-inflated beta distribution
rpareto | Pareto distribution
rpgweibull | Power generalized Weibull distribution
rpowerexp | Power Exponential distribution (PE and PE2)
rpowerexp2 | Power Exponential distribution (PE and PE2)
rskellam | Skellam distribution
rskewnorm | Skew normal distribution
rskewnorm2 | Reparameterised skew normal distribution
rskewt | Skewed students t distribution
rskewt2 | Moment-parameterised skew t distribution
rt2 | Student t distribution with location and scale
rtruncnorm | Truncated normal distribution
rtrunct | Truncated t distribution
rtrunct2 | Truncated t distribution with location and scale
rvm | von Mises distribution
rvmf | von Mises-Fisher distribution
rvmf2 | Reparameterised von Mises-Fisher distribution
rwishart | Wishart distribution
rwrpcauchy | wrapped Cauchy distribution
rzibeta | Zero-inflated beta distribution
rzibeta2 | Reparameterised zero-inflated beta distribution
rzibinom | Zero-inflated binomial distribution
rzigamma | Zero-inflated gamma distribution
rzigamma2 | Zero-inflated and reparameterised gamma distribution
rziinvgauss | Zero-inflated inverse Gaussian distribution
rzilnorm | Zero-inflated log normal distribution
rzinbinom | Zero-inflated negative binomial distribution
rzinbinom2 | Zero-inflated and reparameterised negative binomial distribution
rzipois | Zero-inflated Poisson distribution
rziweibull | Zero-inflated Weibull distribution
rzoibeta | Zero- and one-inflated beta distribution
rzoibeta2 | Reparameterised zero- and one-inflated beta distribution
rztbinom | Zero-truncated Binomial distribution
rztnbinom | Zero-truncated Negative Binomial distribution
rztnbinom2 | Reparameterised zero-truncated negative binomial distribution
rztpois | Zero-truncated Poisson distribution

## -- S --

skellam | Skellam distribution
skewnorm | Skew normal distribution
skewnorm2 | Reparameterised skew normal distribution
skewt | Skewed students t distribution
skewt2 | Moment-parameterised skew t distribution
spgweibull | Power generalized Weibull distribution

## -- T --

t2 | Student t distribution with location and scale
truncnorm | Truncated normal distribution
trunct | Truncated t distribution
trunct2 | Truncated t distribution with location and scale

## -- V --

vm | von Mises distribution
vmf | von Mises-Fisher distribution
vmf2 | Reparameterised von Mises-Fisher distribution

## -- W --

wishart | Wishart distribution
wrpcauchy | wrapped Cauchy distribution

## -- Z --

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 distribution
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