GLM glossary term (#5047)

* GLM glossary term

* address comments and fix syntax

* config sphinx to parse dollar math syntax

Co-authored-by: Oriol (ZBook) <[email protected]>

Author: mjhajharia

docs/source/conf.py

@@ -117,9 +117,7 @@
 # myst and panels config
 jupyter_execute_notebooks = "off"
 myst_heading_anchors = 3
-myst_enable_extensions = [
-    "colon_fence",
-]
+myst_enable_extensions = ["colon_fence", "deflist", "dollarmath", "amsmath"]
 panels_add_bootstrap_css = False
 
 # The reST default role (used for this markup: `text`) to use for all

docs/source/glossary.md

@@ -59,4 +59,15 @@ Posterior
 
   - For more on generating and interpreting the posterior samples, see Statistical Rethinking 2nd Edition By Richard McElreath, chapter 3.
 
+Generalized Linear Model
+GLM
+  In a Generalized Linear Model (GLM), we assume the response variable $y_i$ to follow an
+  exponential family distribution with mean $\mu_i$, which is assumed to be some (often nonlinear)
+  function of $x_i^T\beta$. They're considered linear because the covariates affect the distribution
+  of $Y_i$ only through the linear combination $x_i^T\beta$. Some examples of Generalized Linear
+  Models are: Linear Regression, ANOVA, Logistic Regression and Poisson Regression
+
+  :::{note} Do not confuse these with general linear models
+  :::
+
 :::::