Generalized-Linear-Models.md

@@ -36,11 +36,7 @@ When constructing a generalized linear model, three major decisions must be made
                 src="https://latex.codecogs.com/svg.latex? 
                 f(y;&space;\mu,&space;\sigma^2)=\frac{1}{\sqrt{2\pi\sigma^2}}exp(\frac{-(y- 
                 \mu)^2}{2\sigma^2})" title="f(y; \mu, \sigma^2)=\frac{1} 
-                {\sqrt{2\pi\sigma^2}}exp(\frac{-(y-\mu)^2}{2\sigma^2})" /></a>    for <a 
-                href="https://www.codecogs.com/eqnedit.php?latex=-\infty&space; 
-                <&space;y&space;<&space;\infty" target="_blank"><img 
-                src="https://latex.codecogs.com/svg.latex?-\infty&space;<&space;y&space; 
-                <&space;\infty" title="-\infty < y < \infty" /></a>
+                {\sqrt{2\pi\sigma^2}}exp(\frac{-(y-\mu)^2}{2\sigma^2})" /></a>   
 
       * Gamma: <a href="https://www.codecogs.com/eqnedit.php? 
                latex=f(y;&space;\mu,\phi)=\frac{1}{\Gamma(\phi^{-1})}(\frac{1} 
@@ -48,11 +44,18 @@ When constructing a generalized linear model, three major decisions must be made
                src="https://latex.codecogs.com/svg.latex?f(y;&space;\mu,\phi)=\frac{1} 
                {\Gamma(\phi^{-1})}(\frac{1}{\mu\phi})^{1/\phi}y^{1/\phi-1}exp(\frac{-y} 
                {\mu\phi})" title="f(y; \mu,\phi)=\frac{1}{\Gamma(\phi^{-1})}(\frac{1} 
-               {\mu\phi})^{1/\phi}y^{1/\phi-1}exp(\frac{-y}{\mu\phi})" /></a>    for <a 
-               href="https://www.codecogs.com/eqnedit.php?latex=y&space;>&space;0" 
-               target="_blank"><img src="https://latex.codecogs.com/svg.latex? 
-               y&space;>&space;0" title="y > 0" /></a>   
-      * Inverse Gaussian 
+               {\mu\phi})^{1/\phi}y^{1/\phi-1}exp(\frac{-y}{\mu\phi})" /></a> 
+
+      * Inverse Gaussian: <a href="https://www.codecogs.com/eqnedit.php? 
+                          latex=f(y;&space;\mu,&space;\phi)=\frac{1} 
+                          {\sqrt{2\pi&space;y^3&space;\phi}}exp(-\frac{(y-\mu)^2} 
+                          {2\mu^2\phi&space;y})" target="_blank"><img 
+                          src="https://latex.codecogs.com/svg.latex? 
+                          f(y;&space;\mu,&space;\phi)=\frac{1} 
+                          {\sqrt{2\pi&space;y^3&space;\phi}}exp(-\frac{(y-\mu)^2} 
+                          {2\mu^2\phi&space;y})" title="f(y; \mu, \phi)=\frac{1}{\sqrt{2\pi 
+                          y^3 \phi}}exp(-\frac{(y-\mu)^2}{2\mu^2\phi y})" /></a>
+
     - Discrete variables: 
       * Poisson 
       * Bernoulli