diff --git a/src/univariate/discrete/discretenonparametric.jl b/src/univariate/discrete/discretenonparametric.jl
index 8e1eefab6..8f242ec23 100644
--- a/src/univariate/discrete/discretenonparametric.jl
+++ b/src/univariate/discrete/discretenonparametric.jl
@@ -23,21 +23,29 @@ struct DiscreteNonParametric{T<:Real,P<:Real,Ts<:AbstractVector{T},Ps<:AbstractV
 
     function DiscreteNonParametric{T,P,Ts,Ps}(xs::Ts, ps::Ps; check_args::Bool=true) where {
             T<:Real,P<:Real,Ts<:AbstractVector{T},Ps<:AbstractVector{P}}
-        check_args || return new{T,P,Ts,Ps}(xs, ps)
         @check_args(
             DiscreteNonParametric,
             (length(xs) == length(ps), "length of support and probability vector must be equal"),
             (ps, isprobvec(ps), "vector is not a probability vector"),
-            (xs, allunique(xs), "support must contain only unique elements"),
+            (xs, issorted_allunique(xs), "support must be sorted and contain only unique elements"),
         )
-        sort_order = sortperm(xs)
-        new{T,P,Ts,Ps}(xs[sort_order], ps[sort_order])
+        new{T,P,Ts,Ps}(xs, ps)
     end
 end
 
-DiscreteNonParametric(vs::AbstractVector{T}, ps::AbstractVector{P}; check_args::Bool=true) where {
-        T<:Real,P<:Real} =
-    DiscreteNonParametric{T,P,typeof(vs),typeof(ps)}(vs, ps; check_args=check_args)
+function DiscreteNonParametric(xs::AbstractVector{T}, ps::AbstractVector{P}; check_args::Bool=true) where {T<:Real,P<:Real}
+    # We always sort the support unless it can be deduced from the type of the support that it is sorted.
+    # Sorting can be skipped for all inputs by using the inner constructor.
+    if xs isa AbstractUnitRange
+        sortedxs = xs
+        sortedps = ps
+    else
+        sort_order = sortperm(xs)
+        sortedxs = xs[sort_order]
+        sortedps = ps[sort_order]
+    end
+    return DiscreteNonParametric{T,P,typeof(sortedxs),typeof(sortedps)}(sortedxs, sortedps; check_args=check_args)
+end
 
 Base.eltype(::Type{<:DiscreteNonParametric{T}}) where T = T
 
diff --git a/src/utils.jl b/src/utils.jl
index a2c9aaffa..442b863d7 100644
--- a/src/utils.jl
+++ b/src/utils.jl
@@ -97,6 +97,23 @@ isunitvec(v::AbstractVector) = (norm(v) - 1.0) < 1.0e-12
 isprobvec(p::AbstractVector{<:Real}) =
     all(x -> x ≥ zero(x), p) && isapprox(sum(p), one(eltype(p)))
 
+issorted_allunique(xs::AbstractUnitRange{<:Real}) = true
+function issorted_allunique(xs::AbstractVector{<:Real})
+    xi_state = iterate(xs)
+    if xi_state === nothing
+        return true
+    end
+    xi, state = xi_state
+    while (xj_state = iterate(xs, state)) !== nothing
+        xj, state = xj_state
+        if xj <= xi
+            return false
+        end
+        xi = xj
+    end
+    return true
+end
+
 # get a type wide enough to represent all a distributions's parameters
 # (if the distribution is parametric)
 # if the distribution is not parametric, we need this to be a float so that
diff --git a/test/univariate/discrete/categorical.jl b/test/univariate/discrete/categorical.jl
index 6d87d4dc8..96425a204 100644
--- a/test/univariate/discrete/categorical.jl
+++ b/test/univariate/discrete/categorical.jl
@@ -137,4 +137,21 @@ end
     @test count(==(1e8), priorities[iat]) >= 13
 end
 
+@testset "AbstractVector" begin
+    # issue #1084
+    P = abs.(randn(5,4,2))
+    p = view(P,:,1,1)
+    p ./= sum(p)
+    d = @inferred(Categorical(p))
+    @test d isa Categorical{Float64, typeof(p)}
+    @test d.p === p
+
+    # #1832
+    x = rand(3,5)
+    x ./= sum(x; dims=1)
+    c = Categorical.(eachcol(x))
+    @test c isa Vector{<:Categorical}
+    @test all(ci.p isa SubArray for ci in c)
+end
+
 end
diff --git a/test/univariate/discrete/discretenonparametric.jl b/test/univariate/discrete/discretenonparametric.jl
index 68354a064..b81d5b52a 100644
--- a/test/univariate/discrete/discretenonparametric.jl
+++ b/test/univariate/discrete/discretenonparametric.jl
@@ -213,4 +213,25 @@ end
     # Different types
     @test DiscreteNonParametric(1:2, [0.5, 0.5]) == DiscreteNonParametric([1, 2], [0.5f0, 0.5f0])
     @test DiscreteNonParametric(1:2, [0.5, 0.5]) ≈ DiscreteNonParametric([1, 2], [0.5f0, 0.5f0])
-end
\ No newline at end of file
+end
+
+@testset "AbstractVector (issue #1084)" begin
+    P = abs.(randn(5,4,2))
+    p = view(P,:,1,1)
+    p ./= sum(p)
+    
+    d = @inferred(DiscreteNonParametric(Base.OneTo(5), p))
+    @test d isa DiscreteNonParametric
+    @test d.p === p
+    d = @inferred(DiscreteNonParametric(1:5, p))
+    @test d isa DiscreteNonParametric
+    @test d.p === p
+    d = @inferred(DiscreteNonParametric(1:1:5, p))
+    @test d isa DiscreteNonParametric
+    @test d.p !== p
+    @test d.p == p
+    d = @inferred(DiscreteNonParametric([1, 2, 3, 4, 5], p))
+    @test d isa DiscreteNonParametric
+    @test d.p !== p
+    @test d.p == p
+end