Test Membership of a Support

Is a value in the support at all, or an atom of it specifically?

Usage

support_contains(support, at)

support_has_atom(support, at)

Arguments

support

A support object, or a distribution.

at

Values to test. Vectorised.

Value

A logical vector the same length as at.

Details

support_contains() is TRUE for a value that is either an atom or inside one of the continuous intervals. support_has_atom() is TRUE only for the atoms, and so is the one to reach for when what matters is whether a point carries positive probability.

Continuous intervals count their endpoints as contained. Those endpoints carry no probability, so a value can be contained in a support without being a point of positive mass — which is exactly the distinction between these two functions.

See also

Other Support algebra: support_add_atoms(), support_restrict(), support_transform(), support_union()

Examples

s <- mixed(discrete = 0, continuous = c(2, 5))
support_contains(s, at = c(0, 1, 3, 9))
#> [1]  TRUE FALSE  TRUE FALSE
support_has_atom(s, at = c(0, 1, 3, 9))
#> [1]  TRUE FALSE FALSE FALSE

support_has_atom(dst_pois(3), at = c(-1, 0, 2.5, 4))
#> [1] FALSE  TRUE FALSE  TRUE