You could just declare a type constant.
const IntervalBoxVector = Vector{Union{Missing, IntervalBox{1, Float64}}}
There is also a way to query the type of a field.
julia> struct Foo
a::Int
b::Float64
c::Vector{Union{Missing, Float64}}
end
julia> fieldtype(Foo, :c)
Vector{Union{Missing, Float64}} (alias for Array{Union{Missing, Float64}, 1})