diff --git a/src/numpy-stubs/random/_mt19937.pyi b/src/numpy-stubs/random/_mt19937.pyi
index cfa2977a..f4ce08cd 100644
--- a/src/numpy-stubs/random/_mt19937.pyi
+++ b/src/numpy-stubs/random/_mt19937.pyi
@@ -23,4 +23,4 @@ class _MT19937State(TypedDict):
 
 class MT19937(BitGenerator[_MT19937State]):
     def _legacy_seeding(self, seed: _ArrayLikeInt_co) -> None: ...
-    def jumped(self, jumps: int = ...) -> Self: ...
+    def jumped(self, jumps: int = 1) -> Self: ...
diff --git a/src/numpy-stubs/random/_pcg64.pyi b/src/numpy-stubs/random/_pcg64.pyi
index ab93b9f7..51ef477b 100644
--- a/src/numpy-stubs/random/_pcg64.pyi
+++ b/src/numpy-stubs/random/_pcg64.pyi
@@ -21,9 +21,9 @@ class _PCG64State(TypedDict):
 ###
 
 class PCG64(BitGenerator[_PCG64State]):
-    def jumped(self, jumps: int = ...) -> Self: ...
+    def jumped(self, jumps: int = 1) -> Self: ...
     def advance(self, delta: int) -> Self: ...
 
 class PCG64DXSM(BitGenerator[_PCG64State]):
-    def jumped(self, jumps: int = ...) -> Self: ...
+    def jumped(self, jumps: int = 1) -> Self: ...
     def advance(self, delta: int) -> Self: ...
diff --git a/src/numpy-stubs/random/_philox.pyi b/src/numpy-stubs/random/_philox.pyi
index acf70234..2eb40d77 100644
--- a/src/numpy-stubs/random/_philox.pyi
+++ b/src/numpy-stubs/random/_philox.pyi
@@ -32,5 +32,5 @@ class Philox(BitGenerator[_PhiloxState]):
         counter: _nt.ToInteger_nd | None = None,
         key: _nt.ToInteger_nd | None = None,
     ) -> None: ...
-    def jumped(self, jumps: int = ...) -> Self: ...
+    def jumped(self, jumps: int = 1) -> Self: ...
     def advance(self, delta: int) -> Self: ...
diff --git a/src/numpy-stubs/random/mtrand.pyi b/src/numpy-stubs/random/mtrand.pyi
index 2cc54aae..be3897b9 100644
--- a/src/numpy-stubs/random/mtrand.pyi
+++ b/src/numpy-stubs/random/mtrand.pyi
@@ -77,7 +77,7 @@ _LegacyState: TypeAlias = tuple[str, _nt.Array[np.uint32], int, int, float]
 class RandomState:
     _bit_generator: Final[BitGenerator]
 
-    def __init__(self, /, seed: _nt.CoInteger_nd | BitGenerator[Any] | None = ...) -> None: ...
+    def __init__(self, /, seed: _nt.CoInteger_nd | BitGenerator[Any] | None = None) -> None: ...
     @override
     def __getstate__(self) -> dict[str, Any]: ...
     def __setstate__(self, /, state: dict[str, Any]) -> None: ...