Update Generalized Linear Models authored by Mortaheb Sepehr's avatar Mortaheb Sepehr
...@@ -62,8 +62,17 @@ When constructing a generalized linear model, three major decisions must be made ...@@ -62,8 +62,17 @@ When constructing a generalized linear model, three major decisions must be made
target="_blank"><img src="https://latex.codecogs.com/svg.latex? target="_blank"><img src="https://latex.codecogs.com/svg.latex?
P(y;&space;\mu)&space;=&space;\frac{e^{-\mu}\mu^y}{y!}" title="P(y; \mu) = P(y;&space;\mu)&space;=&space;\frac{e^{-\mu}\mu^y}{y!}" title="P(y; \mu) =
\frac{e^{-\mu}\mu^y}{y!}" /></a> \frac{e^{-\mu}\mu^y}{y!}" /></a>
* Bernoulli
* Binomial * Bernoulli: <a href="https://www.codecogs.com/eqnedit.php?
latex=P(y;&space;\pi)=\pi^y(1-\pi)^{1-y}" target="_blank"><img
src="https://latex.codecogs.com/svg.latex?P(y;&space;\pi)=\pi^y(1-
\pi)^{1-y}" title="P(y; \pi)=\pi^y(1-\pi)^{1-y}" /></a>
* Binomial: <a href="https://www.codecogs.com/eqnedit.php?
latex=P(y;&space;\pi,n)=\binom{n}{y}\pi^y&space;(1-\pi)^{n-y}"
target="_blank"><img src="https://latex.codecogs.com/svg.latex?
P(y;&space;\pi,n)=\binom{n}{y}\pi^y&space;(1-\pi)^{n-y}" title="P(y;
\pi,n)=\binom{n}{y}\pi^y (1-\pi)^{n-y}" /></a>
We should note that this distribution is not the *true* distribution of the population, We should note that this distribution is not the *true* distribution of the population,
but is a, approximation of the distribution of response variable. Each natural but is a, approximation of the distribution of response variable. Each natural
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