Weibull Distribution, Using Multiple Draws

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

Usage

dweibull_rvec(x, shape, scale = 1, log = FALSE)

pweibull_rvec(q, shape, scale = 1, lower.tail = TRUE, log.p = FALSE)

qweibull_rvec(p, shape, scale = 1, lower.tail = TRUE, log.p = FALSE)

rweibull_rvec(n, shape, scale = 1, n_draw = NULL)

Arguments

x: Quantiles. Can be an rvec.
shape: Shape parameter. See stats::dweibull(). Can be an rvec.
scale: Scale parameter. See stats::dweibull() Default is 1. 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.

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.

Details

Functions dweibull_rvec(), pweibull_rvec(), pweibull_rvec() and rweibull_rvec() work like base R functions dt(), pt(), qt(), and rt(), except that they accept rvecs as inputs. If any input is an rvec, then the output will be too. Function rweibull_rvec() also returns an rvec if a value for n_draw is supplied.

dweibull_rvec(), pweibull_rvec(), pweibull_rvec() and rweibull_rvec() use tidyverse vector recycling rules:

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

Examples

x <- rvec(list(c(3.2, 4.5),
               c(0.6, 0.7)))
dweibull_rvec(x, shape = 2)
#> <rvec_dbl<2>[2]>
#> [1] 0.0002286,0.00000001445 0.8372,0.8577          
pweibull_rvec(x, shape = 2)
#> <rvec_dbl<2>[2]>
#> [1] 1,1           0.3023,0.3874

rweibull_rvec(n = 2,
              shape = c(2, 3),
              n_draw = 1000)
#> <rvec_dbl<1000>[2]>
#> [1] 0.82 (0.18, 2)   0.88 (0.28, 1.5)