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Jack O'Brien edited untitled.tex
over 7 years ago
Commit id: 38a53dad3a3cc57d73cacfefcee9b8d4a44312b2
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%**ARMA is discrete, mention why we need a continuous method instead
\subsection{Taking the Continuous Limit}
1. Introduce a little stochastic calculus
--Following Might not be necessary if we use derivation example for AR(2) {
-New definition of the limit
-New definition of the derivative
-Stochastic Continuity }
-Stochastic Integral (Maybe introduce when actually needed)
\subsubsection{Continuous White Noise Process}
-Continuous White Noise
--Start CARMA Derivation
-Introduce AR(1) model (in context of current popular method)
-General Order AR model
-General Order MA model
-Mixed AR MA process (CARMA) (Just do this in the next section)
\subsection{CARMA}
In reality, the underlying phenomena driving AGN variability are not discrete processes. In order to get a proper understanding of the underlying physics and structure of the AGN, we need a continuous analog to the ARMA process.