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minor fixes

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Jan Benda 2019-12-19 09:52:25 +01:00
parent fe7ae4a67b
commit 60a8250590
2 changed files with 4 additions and 5 deletions
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regression/lecture/regression.tex
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@ -7,7 +7,7 @@ with a range of input signals and then the resulting responses are
measured. This input-output relation can be described by a model. Such measured. This input-output relation can be described by a model. Such
a model can be a simple function that maps the input signals to a model can be a simple function that maps the input signals to
corresponding responses, it can be a filter, or a system of corresponding responses, it can be a filter, or a system of
differential equations. In any case, the model has same parameter that differential equations. In any case, the model has some parameters that
specify how input and output signals are related. Which combination specify how input and output signals are related. Which combination
of parameter values are best suited to describe the input-output of parameter values are best suited to describe the input-output
relation? The process of finding the best parameter values is an relation? The process of finding the best parameter values is an

7
simulations/lecture/simulations.tex
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@ -38,10 +38,9 @@ chapter~\ref{descriptivestatisticschapter}.
For drawing numbers $x_i$ from a normal distribution we use the For drawing numbers $x_i$ from a normal distribution we use the
\code{randn()} function. This function returns normally distributed \code{randn()} function. This function returns normally distributed
numbers $\xi_i$ with zero mean and unit standard deviation. For numbers $\xi_i$ with zero mean and unit standard deviation. For
changing the standard deviation $\sigma$ we need to multiply the changing the standard deviation we need to multiply the returned data
returned data values with the required standard deviation. For values with the required standard deviation $\sigma$. For changing the
changing the mean we just add the desired mean $\mu$ to the random mean we just add the desired mean $\mu$ to the random numbers:
numbers:
\begin{equation} \begin{equation}
x_i = \sigma \xi_i + \mu x_i = \sigma \xi_i + \mu
\end{equation} \end{equation}