diff --git a/EpiAware/test/EpiLatentModels/combinations/arima.jl b/EpiAware/test/EpiLatentModels/combinations/arima.jl
new file mode 100644
index 000000000..c78fc4b4f
--- /dev/null
+++ b/EpiAware/test/EpiLatentModels/combinations/arima.jl
@@ -0,0 +1,40 @@
+@testitem "Testing ARIMA constructor" begin
+    using Distributions, Turing
+
+    # Test default constructor
+    arima_model = arima()
+    @test arima_model isa DiffLatentModel
+    @test arima_model.model isa AR
+    @test arima_model.model.ϵ_t isa MA
+    @test length(arima_model.model.damp_prior) == 1
+    @test length(arima_model.model.init_prior) == 1
+    @test length(arima_model.model.ϵ_t.θ) == 1
+    @test arima_model.model.damp_prior ==
+          filldist(truncated(Normal(0.0, 0.05), 0, 1), 1)
+    @test arima_model.model.ϵ_t.θ ==
+          filldist(truncated(Normal(0.0, 0.05), -1, 1), 1)
+
+    # Test with custom parameters
+    ar_init_prior = Normal(1.0, 0.5)
+    diff_init_prior = Normal(0.0, 0.3)
+    damp_prior = truncated(Normal(0.0, 0.04), 0, 1)
+    θ_prior = truncated(Normal(0.0, 0.06), -1, 1)
+
+    custom_arima = arima(;
+        ar_init = [ar_init_prior, ar_init_prior],
+        diff_init = [diff_init_prior, diff_init_prior],
+        damp = [damp_prior, damp_prior],
+        θ = [θ_prior, θ_prior],
+        ϵ_t = HierarchicalNormal()
+    )
+
+    @test custom_arima isa DiffLatentModel
+    @test custom_arima.model isa AR
+    @test custom_arima.model.ϵ_t isa MA
+    @test length(custom_arima.model.damp_prior) == 2
+    @test length(custom_arima.model.init_prior) == 2
+    @test length(custom_arima.model.ϵ_t.θ) == 2
+    @test custom_arima.model.damp_prior == filldist(damp_prior, 2)
+    @test custom_arima.model.init_prior == filldist(ar_init_prior, 2)
+    @test custom_arima.model.ϵ_t.θ == filldist(θ_prior, 2)
+end
diff --git a/EpiAware/test/EpiLatentModels/combinations/arma.jl b/EpiAware/test/EpiLatentModels/combinations/arma.jl
new file mode 100644
index 000000000..19704332d
--- /dev/null
+++ b/EpiAware/test/EpiLatentModels/combinations/arma.jl
@@ -0,0 +1,34 @@
+@testitem "Testing ARMA constructor" begin
+    using Distributions, Turing
+
+    # Test default constructor
+    arma_model = arma()
+    @test arma_model isa AR
+    @test arma_model.ϵ_t isa MA
+    @test length(arma_model.damp_prior) == 1
+    @test length(arma_model.init_prior) == 1
+    @test length(arma_model.ϵ_t.θ) == 1
+    @test arma_model.damp_prior == filldist(truncated(Normal(0.0, 0.05), 0, 1), 1)
+    @test arma_model.ϵ_t.θ == filldist(truncated(Normal(0.0, 0.05), -1, 1), 1)
+
+    # Test with custom parameters
+    damp_prior = truncated(Normal(0.0, 0.04), 0, 1)
+    θ_prior = truncated(Normal(0.0, 0.06), 0, 1)
+    init_prior = Normal(1.0, 0.5)
+
+    custom_arma = arma(;
+        init = [init_prior, init_prior],
+        damp = [damp_prior, damp_prior],
+        θ = [θ_prior, θ_prior],
+        ϵ_t = HierarchicalNormal()
+    )
+
+    @test custom_arma isa AR
+    @test custom_arma.ϵ_t isa MA
+    @test length(custom_arma.damp_prior) == 2
+    @test length(custom_arma.init_prior) == 2
+    @test length(custom_arma.ϵ_t.θ) == 2
+    @test custom_arma.damp_prior == filldist(damp_prior, 2)
+    @test custom_arma.init_prior == filldist(init_prior, 2)
+    @test custom_arma.ϵ_t.θ == filldist(θ_prior, 2)
+end
diff --git a/benchmark/bench/EpiLatentModels/combinations/arima.jl b/benchmark/bench/EpiLatentModels/combinations/arima.jl
new file mode 100644
index 000000000..628e95308
--- /dev/null
+++ b/benchmark/bench/EpiLatentModels/combinations/arima.jl
@@ -0,0 +1,5 @@
+let
+    model = arima()
+    mdl = generate_latent(model, 10)
+    suite["arima"] = make_epiaware_suite(mdl)
+end
diff --git a/benchmark/bench/EpiLatentModels/combinations/arma.jl b/benchmark/bench/EpiLatentModels/combinations/arma.jl
new file mode 100644
index 000000000..d953c22b5
--- /dev/null
+++ b/benchmark/bench/EpiLatentModels/combinations/arma.jl
@@ -0,0 +1,5 @@
+let
+    model = arma()
+    mdl = generate_latent(model, 10)
+    suite["arma"] = make_epiaware_suite(mdl)
+end