diff --git a/.github/workflows/CI.yml b/.github/workflows/CI.yml
index 8cac72b..e5aa7fc 100644
--- a/.github/workflows/CI.yml
+++ b/.github/workflows/CI.yml
@@ -28,6 +28,10 @@ jobs:
         with:
           version: ${{ matrix.version }}
           arch: ${{ matrix.arch }}
+      - uses: cjdoris/julia-downgrade-compat-action@v1
+        if: ${{ matrix.version == '1.6' }}
+        with:
+          skip: Pkg,TOML,Statistics          
       - uses: actions/cache@v1
         env:
           cache-name: cache-artifacts
diff --git a/Project.toml b/Project.toml
index e6b5fd3..076f04f 100644
--- a/Project.toml
+++ b/Project.toml
@@ -20,15 +20,15 @@ Optim = "429524aa-4258-5aef-a3af-852621145aeb"
 DistributionFitsOptimExt = "Optim"
 
 [compat]
-Distributions = "0.25"
-FillArrays = "0.12, 0.13, 1"
+Distributions = "0.25.102"
+FillArrays = "1"
 Optim = "1.7"
 Reexport = "1.2"
 Requires = "1.2"
 StaticArrays = "1.2"
 Statistics = "1"
-StatsAPI = "1"
-StatsFuns = "0.9, 1"
+StatsAPI = "1.6"
+StatsFuns = "0.9.15, 1"
 julia = "1.6"
 
 [extras]