diff --git a/src/elisa/util/typing.py b/src/elisa/util/typing.py
index 9bd7f5fd..978afc9a 100644
--- a/src/elisa/util/typing.py
+++ b/src/elisa/util/typing.py
@@ -1,14 +1,36 @@
-from typing import Union
+"""Typing aliases to shorten hints."""
+from typing import Callable, TypeVar, Union
 
-import jax.numpy as jnp
 import numpy as np
 from jax import Array
+from jax.typing import ArrayLike
 
-FloatType = jnp.result_type(float)
-IntType = jnp.result_type(int)
+T = TypeVar('T')
 
+PyFloat = Union[float, np.inexact]  # must include 0-d NDArray with float dtype
 JAXFloat = Array
+Float = Union[PyFloat, JAXFloat]
+
 PRNGKey = Array
+
+NumPyArray = np.ndarray
 JAXArray = Array
-NumpyArray = np.ndarray
-Array = Union[NumpyArray, JAXArray]
+Array = Union[NumPyArray, JAXArray]
+
+ArrayLike = ArrayLike
+
+# Type aliases for parameter and model module
+CompID = CompName = CompParamName = ParamID = ParamName = str
+NameValMapping = dict[CompParamName, JAXFloat]
+CompIDParamValMapping = dict[CompID, NameValMapping]
+CompIDStrMapping = dict[CompID, str]
+ParamIDStrMapping = dict[ParamID, str]
+ParamIDValMapping = dict[ParamID, JAXFloat]
+CompEval = Callable[[JAXArray, NameValMapping], JAXArray]
+ConvolveEval = Callable[
+    [JAXArray, NameValMapping, Callable[[JAXArray], JAXArray]], JAXArray
+]
+ModelEval = Callable[[JAXArray, CompIDParamValMapping], JAXArray]
+ModelCompiledFn = Callable[[JAXArray, ParamIDValMapping], JAXArray]
+NameLaTeX = tuple[str, str]
+AdditiveFn = Callable[[JAXArray, ParamIDValMapping], dict[NameLaTeX, JAXArray]]