diff --git a/.pre-commit-config.yaml b/.pre-commit-config.yaml
index 65ef315..4675e73 100644
--- a/.pre-commit-config.yaml
+++ b/.pre-commit-config.yaml
@@ -1,6 +1,6 @@
 repos:
 - repo: https://github.com/pre-commit/pre-commit-hooks
-  rev: v5.0.0
+  rev: v6.0.0
   hooks:
     - id: check-added-large-files
       args: ["--maxkb=100"]
@@ -29,11 +29,11 @@ repos:
     - id: remove-crlf
       exclude_types: [binary]
 - repo: https://github.com/python-jsonschema/check-jsonschema
-  rev: 0.31.2
+  rev: 0.36.0
   hooks:
     - id: check-github-workflows
 - repo: https://github.com/astral-sh/ruff-pre-commit
-  rev: v0.9.8
+  rev: v0.14.10
   hooks:
     - id: ruff-format
     - id: ruff
@@ -44,7 +44,7 @@ repos:
     - id: nb-clean
       args: ["--remove-empty-cells", "--preserve-cell-metadata", "tags", "--"]
 - repo: https://github.com/DavidAnson/markdownlint-cli2
-  rev: v0.17.2
+  rev: v0.20.0
   hooks:
     - id: markdownlint-cli2
       exclude: '^test'
diff --git a/README.md b/README.md
index e631ef3..4d238ce 100644
--- a/README.md
+++ b/README.md
@@ -79,6 +79,7 @@ where we use the notation
 ```math
 \mathrm{E}[ \hat{\mathbf{\beta}} ] = \mathbf{\beta}
 ```
+
 The covariance matrix of the parameter vector $\mathbf{\beta}$ is given by:
 
 ```math