diff --git a/src/compiler/emitter.ts b/src/compiler/emitter.ts
index 61f9773c7a0..808e8aeaf81 100755
--- a/src/compiler/emitter.ts
+++ b/src/compiler/emitter.ts
@@ -578,10 +578,10 @@ namespace ts {
                     return emitLiteralType(<LiteralTypeNode>node);
                 case SyntaxKind.JSDocAllType:
                     write("*");
-                    break;
+                    return;
                 case SyntaxKind.JSDocUnknownType:
                     write("?");
-                    break;
+                    return;
                 case SyntaxKind.JSDocNullableType:
                     return emitJSDocNullableType(node as JSDocNullableType);
                 case SyntaxKind.JSDocNonNullableType:
diff --git a/src/services/refactors/annotateWithTypeFromJSDoc.ts b/src/services/refactors/annotateWithTypeFromJSDoc.ts
index dde367f0ac9..3111c0d3ed9 100644
--- a/src/services/refactors/annotateWithTypeFromJSDoc.ts
+++ b/src/services/refactors/annotateWithTypeFromJSDoc.ts
@@ -189,8 +189,11 @@ namespace ts.refactor.annotateWithTypeFromJSDoc {
     }
 
     function visitJSDocParameter(node: ParameterDeclaration) {
-        const name = node.name || "arg" + node.parent.parameters.indexOf(node);
-        return createParameter(node.decorators, node.modifiers, node.dotDotDotToken, name, node.questionToken, node.type, node.initializer);
+        const index = node.parent.parameters.indexOf(node);
+        const isRest = node.type.kind === SyntaxKind.JSDocVariadicType && index === node.parent.parameters.length - 1;
+        const name = node.name || (isRest ? "rest" : "arg" + index);
+        const dotdotdot = isRest ? createToken(SyntaxKind.DotDotDotToken) : node.dotDotDotToken;
+        return createParameter(node.decorators, node.modifiers, dotdotdot, name, node.questionToken, visitNode(node.type, transformJSDocType), node.initializer);
     }
 
     function visitJSDocTypeReference(node: TypeReferenceNode) {
diff --git a/tests/cases/fourslash/annotateWithTypeFromJSDoc16.ts b/tests/cases/fourslash/annotateWithTypeFromJSDoc16.ts
new file mode 100644
index 00000000000..2f5ab2bcc72
--- /dev/null
+++ b/tests/cases/fourslash/annotateWithTypeFromJSDoc16.ts
@@ -0,0 +1,9 @@
+/// <reference path='fourslash.ts' />
+// @strict: true
+/////** @type {function(*, ...number, ...boolean): void} */
+////var /*1*/x;
+
+verify.applicableRefactorAvailableAtMarker('1');
+verify.fileAfterApplyingRefactorAtMarker('1',
+`/** @type {function(*, ...number, ...boolean): void} */
+var x: (arg0: any, arg1: number[], ...rest: boolean[]) => void;`, 'Annotate with type from JSDoc', 'annotate');