Lognormal distribution functions

Compute density (mlx_dlnorm), cumulative distribution (mlx_plnorm), and quantile (mlx_qlnorm) functions for the lognormal distribution using MLX.

Usage

mlx_dlnorm(x, meanlog = 0, sdlog = 1, log = FALSE)

mlx_plnorm(x, meanlog = 0, sdlog = 1)

mlx_qlnorm(p, meanlog = 0, sdlog = 1)

Arguments

x

Vector of quantiles (mlx array or coercible to mlx)

meanlog, sdlog

Mean and standard deviation of distribution on log scale (default: 0, 1)

log

If TRUE, return log density for mlx_dlnorm (default: FALSE)

p

Vector of probabilities (mlx array or coercible to mlx)

Value

An mlx array with the computed values.

Examples

x <- as_mlx(seq(0.1, 3, by = 0.2))
mlx_dlnorm(x)
#> mlx array [15]
#>   dtype: float32
#>   values:
#>  [1] 0.28159019 0.64420325 0.62749612 0.53479487 0.44081569 0.36103126
#>  [7] 0.29649639 0.24497364 0.20385426 0.17088225 0.14426385 0.12261371
#> [13] 0.10487106 0.09022354 0.07804624
mlx_plnorm(x)
#> mlx array [15]
#>   dtype: float32
#>   values:
#>  [1] 0.01065108 0.11430013 0.24410856 0.36066771 0.45804483 0.53796583
#>  [7] 0.60347962 0.65743208 0.70216185 0.73951596 0.77093738 0.79755211
#> [13] 0.82024282 0.83970636 0.85649657

p <- as_mlx(c(0.25, 0.5, 0.75))
mlx_qlnorm(p)
#> mlx array [3]
#>   dtype: float32
#>   values:
#> [1] 0.5094163 1.0000000 1.9630311