diff --git a/types/ramda/index.d.ts b/types/ramda/index.d.ts
index 4d37cccf10..da91603caf 100644
--- a/types/ramda/index.d.ts
+++ b/types/ramda/index.d.ts
@@ -422,8 +422,8 @@ declare namespace R {
          * the list. Note that all keys are coerced to strings because of how
          * JavaScript objects work.
          */
-        countBy(fn: (a: any) => string | number, list: any[]): any;
-        countBy(fn: (a: any) => string | number): (list: any[]) => any;
+        countBy<T>(fn: (a: T) => string | number, list: T[]): { [index: string]: number };
+        countBy<T>(fn: (a: T) => string | number): (list: T[]) => { [index: string]: number };
 
         /**
          * Returns a curried equivalent of the provided function. The curried function has two unusual capabilities.
@@ -1588,7 +1588,7 @@ declare namespace R {
         /**
          * Sorts the list according to a key generated by the supplied function.
          */
-        sortBy<T>(fn: (a: any) => Ord, list: T[]): T[];
+        sortBy<T>(fn: (a: T) => Ord, list: T[]): T[];
         sortBy(fn: (a: any) => Ord): <T>(list: T[]) => T[];
 
         /**
diff --git a/types/ramda/tslint.json b/types/ramda/tslint.json
index 6356421ec0..efa861d7ff 100644
--- a/types/ramda/tslint.json
+++ b/types/ramda/tslint.json
@@ -1,6 +1,7 @@
 {
   "extends": "dtslint/dt.json",
   "rules": {
-    "no-construct": false // Required for R.is function testing
+    "no-construct": false, // Required for R.is function testing
+    "no-any-union": false
   }
 }