diff --git a/src/mapreduce.jl b/src/mapreduce.jl
index 7732b08f..733d06e1 100644
--- a/src/mapreduce.jl
+++ b/src/mapreduce.jl
@@ -299,6 +299,18 @@ _valof(::Val{D}) where D = D
     _accumulate(op, a, _maybe_val(dims), init)
 
 @inline function _accumulate(op::F, a::StaticArray, dims::Union{Val,Colon}, init) where {F}
+    if isempty(a)
+        if init isa _InitialValue
+            # Deliberately not using `return_type` here, since this `eltype` is
+            # exact for the singleton element case (i.e., `op` will not be called).
+            return similar_type(a)()
+        else
+            # Using the type that _would_ be used if `size(a, dims) == 1`:
+            T = return_type(op, Tuple{typeof(init), eltype(a)})
+            return similar_type(a, T)()
+        end
+    end
+
     # Adjoin the initial value to `op`:
     rf(x, y) = x isa _InitialValue ? y : op(x, y)
 
diff --git a/test/accumulate.jl b/test/accumulate.jl
index cdeca68a..ca0fb156 100644
--- a/test/accumulate.jl
+++ b/test/accumulate.jl
@@ -5,25 +5,34 @@ using StaticArrays, Test
         # label, T
         ("SVector", SVector),
         ("MVector", MVector),
-        ("SizedVector", SizedVector{3}),
+        ("SizedVector", SizedVector),
     ]
-        a = T(SA[1, 2, 3])
-        @test cumsum(a) == cumsum(collect(a))
-        @test cumsum(a) isa similar_type(a)
-        @inferred cumsum(a)
+        @testset "$label" for (label, a) in [
+            ("[1, 2, 3]", T{3}(SA[1, 2, 3])),
+            ("[]", T{0,Int}(())),
+        ]
+            @test cumsum(a) == cumsum(collect(a))
+            @test cumsum(a) isa similar_type(a)
+            @inferred cumsum(a)
+        end
     end
 
     @testset "cumsum(::$label; dims=2)" for (label, T) in [
         # label, T
         ("SMatrix", SMatrix),
         ("MMatrix", MMatrix),
-        ("SizedMatrix", SizedMatrix{3,2}),
+        ("SizedMatrix", SizedMatrix),
     ]
-        a = T(SA[1 2; 3 4; 5 6])
-        @test cumsum(a; dims = 2) == cumsum(collect(a); dims = 2)
-        @test cumsum(a; dims = 2) isa similar_type(a)
-        v"1.1" <= VERSION < v"1.2" && continue
-        @inferred cumsum(a; dims = Val(2))
+        @testset "$label" for (label, a) in [
+            ("[1 2; 3 4; 5 6]", T{3,2}(SA[1 2; 3 4; 5 6])),
+            ("0 x 2 matrix", T{0,2,Float64}()),
+            ("2 x 0 matrix", T{2,0,Float64}()),
+        ]
+            @test cumsum(a; dims = 2) == cumsum(collect(a); dims = 2)
+            @test cumsum(a; dims = 2) isa similar_type(a)
+            v"1.1" <= VERSION < v"1.2" && continue
+            @inferred cumsum(a; dims = Val(2))
+        end
     end
 
     @testset "cumsum(a::SArray; dims=$i); ndims(a) = $d" for d in 1:4, i in 1:d
@@ -40,4 +49,11 @@ using StaticArrays, Test
         @test cumprod(a)::SArray == cumprod(collect(a))
         @inferred cumprod(a)
     end
+
+    @testset "empty vector with init" begin
+        a = SA{Int}[]
+        right(_, x) = x
+        @test accumulate(right, a; init = Val(1)) === SA{Int}[]
+        @inferred accumulate(right, a; init = Val(1))
+    end
 end