| get_support {LambertW} | R Documentation |
If the input X \sim F has support on the entire real line (-∞, ∞), then the skewed Lambert W \times F distribution has truncated support [a,b], a,b \in R \cup \pm ∞ depending on \boldsymbol β and (the sign of) γ.
For scale-families no truncation occurs.
get_support(tau, is.non.negative = FALSE, input.bounds = c(-Inf, Inf))
tau |
named vector τ which defines the variable transformation.
Must have at least |
is.non.negative |
logical; by default it is set to |
input.bounds |
interval; the bounds of the input distribution. If
|
Half-open interval on the real line (if γ \neq 0) for
input with support on the entire real line. For γ = 0 the
support of Y is the same as for X. Heavy-tail Lambert W RVs are not
affected by truncated support (for δ ≥q 0); thus support is
c(lower = -Inf, upper = Inf).
A vector of length 2 with names 'lower' and 'upper'.
get_support(c(mu_x = 0, sigma_x = 1, gamma = 0)) # as gamma = 0 # truncated on the left since gamma > 0 get_support(c(mu_x = 0, sigma_x = 1, gamma = 0.1)) # no truncation for heavy tail(s) get_support(c(mu_x = 0, sigma_x = 1, delta = 0.1))