diff --git a/examples/linear_model/plot_poisson_regression_non_normal_loss.py b/examples/linear_model/plot_poisson_regression_non_normal_loss.py
index 2999d46596518..6313b0b967e1b 100644
--- a/examples/linear_model/plot_poisson_regression_non_normal_loss.py
+++ b/examples/linear_model/plot_poisson_regression_non_normal_loss.py
@@ -1,3 +1,5 @@
+# Authors: The scikit-learn developers
+# SPDX-License-Identifier: BSD-3-Clause
 """
 ======================================
 Poisson regression and non-normal loss
@@ -36,11 +38,6 @@
 
 """
 
-# Authors: Christian Lorentzen <lorentzen.ch@gmail.com>
-#          Roman Yurchak <rth.yurchak@gmail.com>
-#          Olivier Grisel <olivier.grisel@ensta.org>
-# License: BSD 3 clause
-
 import matplotlib.pyplot as plt
 import numpy as np
 import pandas as pd
diff --git a/examples/linear_model/plot_tweedie_regression_insurance_claims.py b/examples/linear_model/plot_tweedie_regression_insurance_claims.py
index 9e5ebb7c1b29b..8554bad3962fa 100644
--- a/examples/linear_model/plot_tweedie_regression_insurance_claims.py
+++ b/examples/linear_model/plot_tweedie_regression_insurance_claims.py
@@ -1,3 +1,5 @@
+# Authors: The scikit-learn developers
+# SPDX-License-Identifier: BSD-3-Clause
 """
 ======================================
 Tweedie regression on insurance claims
@@ -37,11 +39,6 @@
     <https://doi.org/10.2139/ssrn.3164764>`_
 """
 
-# Authors: Christian Lorentzen <lorentzen.ch@gmail.com>
-#          Roman Yurchak <rth.yurchak@gmail.com>
-#          Olivier Grisel <olivier.grisel@ensta.org>
-# License: BSD 3 clause
-
 # %%
 
 from functools import partial
diff --git a/sklearn/linear_model/_glm/__init__.py b/sklearn/linear_model/_glm/__init__.py
index 1b82bbd77bcf9..199b938b023d0 100644
--- a/sklearn/linear_model/_glm/__init__.py
+++ b/sklearn/linear_model/_glm/__init__.py
@@ -1,5 +1,5 @@
-# License: BSD 3 clause
-
+# Authors: The scikit-learn developers
+# SPDX-License-Identifier: BSD-3-Clause
 from .glm import (
     GammaRegressor,
     PoissonRegressor,
diff --git a/sklearn/linear_model/_glm/_newton_solver.py b/sklearn/linear_model/_glm/_newton_solver.py
index fa9b431fd2377..89d184549fcd9 100644
--- a/sklearn/linear_model/_glm/_newton_solver.py
+++ b/sklearn/linear_model/_glm/_newton_solver.py
@@ -1,10 +1,9 @@
+# Authors: The scikit-learn developers
+# SPDX-License-Identifier: BSD-3-Clause
 """
 Newton solver for Generalized Linear Models
 """
 
-# Author: Christian Lorentzen <lorentzen.ch@gmail.com>
-# License: BSD 3 clause
-
 import warnings
 from abc import ABC, abstractmethod
 
diff --git a/sklearn/linear_model/_glm/glm.py b/sklearn/linear_model/_glm/glm.py
index 4cac889a4da51..14caa4fd733c2 100644
--- a/sklearn/linear_model/_glm/glm.py
+++ b/sklearn/linear_model/_glm/glm.py
@@ -1,11 +1,9 @@
+# Authors: The scikit-learn developers
+# SPDX-License-Identifier: BSD-3-Clause
 """
 Generalized Linear Models with Exponential Dispersion Family
 """
 
-# Author: Christian Lorentzen <lorentzen.ch@gmail.com>
-# some parts and tricks stolen from other sklearn files.
-# License: BSD 3 clause
-
 from numbers import Integral, Real
 
 import numpy as np
diff --git a/sklearn/linear_model/_glm/tests/__init__.py b/sklearn/linear_model/_glm/tests/__init__.py
index 588cf7e93eef0..67dd18fb94b59 100644
--- a/sklearn/linear_model/_glm/tests/__init__.py
+++ b/sklearn/linear_model/_glm/tests/__init__.py
@@ -1 +1,2 @@
-# License: BSD 3 clause
+# Authors: The scikit-learn developers
+# SPDX-License-Identifier: BSD-3-Clause
diff --git a/sklearn/linear_model/_glm/tests/test_glm.py b/sklearn/linear_model/_glm/tests/test_glm.py
index 5256a5f370272..8154deaa3db4e 100644
--- a/sklearn/linear_model/_glm/tests/test_glm.py
+++ b/sklearn/linear_model/_glm/tests/test_glm.py
@@ -1,7 +1,5 @@
-# Authors: Christian Lorentzen <lorentzen.ch@gmail.com>
-#
-# License: BSD 3 clause
-
+# Authors: The scikit-learn developers
+# SPDX-License-Identifier: BSD-3-Clause
 import itertools
 import warnings
 from functools import partial