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Update Generalized Linear Models
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Jan 02, 2021
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Mortaheb Sepehr
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@@ -72,18 +72,28 @@ When constructing a generalized linear model, three major decisions must be made
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@@ -72,18 +72,28 @@ When constructing a generalized linear model, three major decisions must be made
latex=P(y;&space;\mu)&space;=&space;\frac{e^{-\mu}\mu^y}{y!}"
latex=P(y;&space;\mu)&space;=&space;\frac{e^{-\mu}\mu^y}{y!}"
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> for <a
href="https://www.codecogs.com/eqnedit.php?latex=y=0,1,..."
target="_blank"><img src="https://latex.codecogs.com/svg.latex?y=0,1,..."
title="y=0,1,..." /></a>
* Bernoulli: <a href="https://www.codecogs.com/eqnedit.php?
* Bernoulli: <a href="https://www.codecogs.com/eqnedit.php?
latex=P(y;&space;\pi)=\pi^y(1-\pi)^{1-y}" target="_blank"><img
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-
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>
\pi)^{1-y}" title="P(y; \pi)=\pi^y(1-\pi)^{1-y}" /></a> for
<a href="https://www.codecogs.com/eqnedit.php?latex=y=0,1" t
arget="_blank"><img src="https://latex.codecogs.com/svg.latex?y=0,1"
title="y=0,1" /></a>
* Binomial: <a href="https://www.codecogs.com/eqnedit.php?
* 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}"
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?
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;
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>
\pi,n)=\binom{n}{y}\pi^y (1-\pi)^{n-y}" /></a> for <a
href="https://www.codecogs.com/eqnedit.php?
latex=y=0,1,&space;...,&space;n" target="_blank"><img
src="https://latex.codecogs.com/svg.latex?y=0,1,&space;...,&space;n"
title="y=0,1, ..., n" /></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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