dnorm_rvec: The Normal Distribution, Using Multiple Draws

Description

Density, distribution function, quantile function and random generation for the normal distribution, modified to work with rvecs.

Usage

dnorm_rvec(x, mean = 0, sd = 1, log = FALSE)
pnorm_rvec(q, mean = 0, sd = 1, lower.tail = TRUE, log.p = FALSE)
qnorm_rvec(p, mean = 0, sd = 1, lower.tail = TRUE, log.p = FALSE)
rnorm_rvec(n, mean = 0, sd = 1, n_draw = NULL)

Value

If any of the arguments are rvecs, or if a value for n_draw is supplied, then an rvec
Otherwise an ordinary R vector.

Arguments

x: Quantiles. Can be an rvec.
mean: Mean of distribution. Default is 0. See stats::dnorm(). Can be an rvec.
sd: Standard deviation. Default is 1. See stats::dnorm(). Can be an rvec.
log, log.p: Whether to return results on a log scale. Default is FALSE. Cannot be an rvec.
q: Quantiles. Can be an rvec.
lower.tail: Whether to return \(P[X \le x]\), as opposed to \(P[X > x]\). Default is TRUE. Cannot be an rvec.
p: Probabilities. Can be an rvec.
n: The length of random vector being created. Cannot be an rvec.
n_draw: Number of random draws in the random vector being created. Cannot be an rvec.

Details

Functions dnorm_rvec(), pnorm_rvec(), pnorm_rvec() and rnorm_rvec() work like base R functions dnorm(), pnorm(), qnorm(), and rnorm(), except that they accept rvecs as inputs. If any input is an rvec, then the output will be too. Function rnorm_rvec() also returns an rvec if a value for n_draw is supplied.

dnorm_rvec(), pnorm_rvec(), pnorm_rvec() and rnorm_rvec() use tidyverse vector recycling rules:

Vectors of length 1 are recycled
All other vectors must have the same size

Examples

Run this code

x <- rvec(list(c(3.1, -5.4),
               c(0.1, 2.3)))
dnorm_rvec(x)
pnorm_rvec(x)

rnorm_rvec(n = 2,
           mean = c(-3, 3),
           sd = c(2, 4),
           n_draw = 1000)

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