diff --git a/R/random.R b/R/random.R
index abe1ccfb..225cd5ba 100644
--- a/R/random.R
+++ b/R/random.R
@@ -242,8 +242,8 @@ monty_random_exponential_mean <- function(mean, state) {
 
 ##' @export
 ##' @rdname monty_random_exponential
-monty_random_n_exponential_mean <- function(n_samples, size, mean) {
-  cpp_monty_random_n_exponential_mean(n_samples, size, mean)
+monty_random_n_exponential_mean <- function(n_samples, mean, state) {
+  cpp_monty_random_n_exponential_mean(n_samples, mean, state)
 }
 
 
@@ -285,8 +285,8 @@ monty_random_beta <- function(a, b, state) {
 
 ##' @export
 ##' @rdname monty_random_beta
-monty_random_n_beta <- function(n_samples, size, a, b) {
-  cpp_monty_random_n_beta(n_samples, size, a, b)
+monty_random_n_beta <- function(n_samples, a, b, state) {
+  cpp_monty_random_n_beta(n_samples, a, b, state)
 }
 
 
@@ -337,7 +337,7 @@ monty_random_cauchy <- function(location, scale, state) {
 
 
 ##' @export
-##' @rdname monty_random_binomial
+##' @rdname monty_random_cauchy
 monty_random_n_cauchy <- function(n_samples, location, scale, state) {
   cpp_monty_random_n_cauchy(n_samples, location, scale, state)
 }
@@ -352,7 +352,7 @@ monty_random_n_cauchy <- function(n_samples, location, scale, state) {
 ##'
 ##' @param scale Scale
 ##''
-##' @param n_threads Number of threads to use; see Details
+##'
 ##' @inheritParams monty_random_real
 ##' @inherit monty_random_real return
 ##'
@@ -370,6 +370,7 @@ monty_random_n_gamma_scale <- function(n_samples, shape, scale, state) {
 }
 
 
+##' @param rate Rate
 ##' @export
 ##' @rdname monty_random_gamma
 monty_random_gamma_rate <- function(shape, rate, state) {
@@ -412,6 +413,9 @@ monty_random_n_negative_binomial_prob <- function(n_samples, size, prob,
 }
 
 
+
+##' @param mu The mean (zero or more)
+##'
 ##' @inheritParams monty_random_real
 ##' @inherit monty_random_real return
 ##'
@@ -444,15 +448,15 @@ monty_random_n_negative_binomial_mu <- function(n_samples, size, mu, state) {
 ##' @inherit monty_random_real return
 ##'
 ##' @export
-monty_random_normal <- function(size, mean, sd) {
-  cpp_monty_random_normal(size, mean, sd)
+monty_random_normal <- function(mean, sd, state) {
+  cpp_monty_random_normal(mean, sd, state)
 }
 
 
 ##' @export
 ##' @rdname monty_random_normal
-monty_random_n_normal <- function(n_samples, size, mean, sd) {
-  cpp_monty_random_n_normal(n_samples, size, mean, sd)
+monty_random_n_normal <- function(n_samples, mean, sd, state) {
+  cpp_monty_random_n_normal(n_samples, mean, sd, state)
 }
 
 
@@ -468,15 +472,15 @@ monty_random_n_normal <- function(n_samples, size, mean, sd) {
 ##' @inherit monty_random_real return
 ##'
 ##' @export
-monty_random_uniform <- function(size, min, max) {
-  cpp_monty_random_uniform(size, min, max)
+monty_random_uniform <- function(min, max, state) {
+  cpp_monty_random_uniform(min, max, state)
 }
 
 
 ##' @export
 ##' @rdname monty_random_uniform
-monty_random_n_uniform <- function(n_samples, size, min, max) {
-  cpp_monty_random_n_uniform(n_samples, size, min, max)
+monty_random_n_uniform <- function(n_samples, min, max, state) {
+  cpp_monty_random_n_uniform(n_samples, min, max, state)
 }
 
 
diff --git a/man/monty_random_beta.Rd b/man/monty_random_beta.Rd
index ad65a609..8a900d7e 100644
--- a/man/monty_random_beta.Rd
+++ b/man/monty_random_beta.Rd
@@ -7,7 +7,7 @@
 \usage{
 monty_random_beta(a, b, state)
 
-monty_random_n_beta(n_samples, size, a, b)
+monty_random_n_beta(n_samples, a, b, state)
 }
 \arguments{
 \item{a, b}{The shape parameters}
diff --git a/man/monty_random_binomial.Rd b/man/monty_random_binomial.Rd
index d3d3ca3d..c42071e3 100644
--- a/man/monty_random_binomial.Rd
+++ b/man/monty_random_binomial.Rd
@@ -3,14 +3,11 @@
 \name{monty_random_binomial}
 \alias{monty_random_binomial}
 \alias{monty_random_n_binomial}
-\alias{monty_random_n_cauchy}
 \title{Sample from binomial distribution}
 \usage{
 monty_random_binomial(size, prob, state)
 
 monty_random_n_binomial(n_samples, size, prob, state)
-
-monty_random_n_cauchy(n_samples, location, scale, state)
 }
 \arguments{
 \item{size}{The number of trials}
diff --git a/man/monty_random_cauchy.Rd b/man/monty_random_cauchy.Rd
index 84686c47..809e3d51 100644
--- a/man/monty_random_cauchy.Rd
+++ b/man/monty_random_cauchy.Rd
@@ -2,9 +2,12 @@
 % Please edit documentation in R/random.R
 \name{monty_random_cauchy}
 \alias{monty_random_cauchy}
+\alias{monty_random_n_cauchy}
 \title{Sample from Cauchy distribution}
 \usage{
 monty_random_cauchy(location, scale, state)
+
+monty_random_n_cauchy(n_samples, location, scale, state)
 }
 \arguments{
 \item{location}{Location of the distribution (the same as the
@@ -14,6 +17,10 @@ median and mode)}
 half-maximum (HWHM)}
 
 \item{state}{The random number state, from \link{monty_random_create}}
+
+\item{n_samples}{The number of samples to take, \strong{per stream}.
+When using the multiple-sample interface, all other parameters
+are held constant (per stream).}
 }
 \value{
 A vector of random numbers, the same length as the number
diff --git a/man/monty_random_exponential.Rd b/man/monty_random_exponential.Rd
index 9c184b3d..fa8ef6e7 100644
--- a/man/monty_random_exponential.Rd
+++ b/man/monty_random_exponential.Rd
@@ -13,7 +13,7 @@ monty_random_n_exponential_rate(n_samples, rate, state)
 
 monty_random_exponential_mean(mean, state)
 
-monty_random_n_exponential_mean(n_samples, size, mean)
+monty_random_n_exponential_mean(n_samples, mean, state)
 }
 \arguments{
 \item{rate}{The rate of the exponential}
diff --git a/man/monty_random_gamma.Rd b/man/monty_random_gamma.Rd
index ed8d8af0..e51e868a 100644
--- a/man/monty_random_gamma.Rd
+++ b/man/monty_random_gamma.Rd
@@ -28,7 +28,7 @@ monty_random_n_gamma_rate(n_samples, shape, rate, state)
 When using the multiple-sample interface, all other parameters
 are held constant (per stream).}
 
-\item{n_threads}{Number of threads to use; see Details}
+\item{rate}{Rate}
 }
 \value{
 A vector of random numbers, the same length as the number
diff --git a/man/monty_random_negative_binomial.Rd b/man/monty_random_negative_binomial.Rd
index 98b20994..567b3c67 100644
--- a/man/monty_random_negative_binomial.Rd
+++ b/man/monty_random_negative_binomial.Rd
@@ -27,6 +27,8 @@ and 1)}
 \item{n_samples}{The number of samples to take, \strong{per stream}.
 When using the multiple-sample interface, all other parameters
 are held constant (per stream).}
+
+\item{mu}{The mean (zero or more)}
 }
 \value{
 A vector of random numbers, the same length as the number
diff --git a/man/monty_random_normal.Rd b/man/monty_random_normal.Rd
index bb05c58c..a76f010d 100644
--- a/man/monty_random_normal.Rd
+++ b/man/monty_random_normal.Rd
@@ -5,15 +5,17 @@
 \alias{monty_random_n_normal}
 \title{Sample from normal distribution}
 \usage{
-monty_random_normal(size, mean, sd)
+monty_random_normal(mean, sd, state)
 
-monty_random_n_normal(n_samples, size, mean, sd)
+monty_random_n_normal(n_samples, mean, sd, state)
 }
 \arguments{
 \item{mean}{The mean of the normal distribution}
 
 \item{sd}{The standard deviation of the normal distribution}
 
+\item{state}{The random number state, from \link{monty_random_create}}
+
 \item{n_samples}{The number of samples to take, \strong{per stream}.
 When using the multiple-sample interface, all other parameters
 are held constant (per stream).}
diff --git a/man/monty_random_uniform.Rd b/man/monty_random_uniform.Rd
index 6f708863..4a84f50f 100644
--- a/man/monty_random_uniform.Rd
+++ b/man/monty_random_uniform.Rd
@@ -5,15 +5,17 @@
 \alias{monty_random_n_uniform}
 \title{Sample from uniform distribution}
 \usage{
-monty_random_uniform(size, min, max)
+monty_random_uniform(min, max, state)
 
-monty_random_n_uniform(n_samples, size, min, max)
+monty_random_n_uniform(n_samples, min, max, state)
 }
 \arguments{
 \item{min}{The minimum value of the uniform distribution}
 
 \item{max}{The maximum value of the uniform distribution}
 
+\item{state}{The random number state, from \link{monty_random_create}}
+
 \item{n_samples}{The number of samples to take, \strong{per stream}.
 When using the multiple-sample interface, all other parameters
 are held constant (per stream).}