minor fixes
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@ -7,7 +7,7 @@ with a range of input signals and then the resulting responses are
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measured. This input-output relation can be described by a model. Such
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a model can be a simple function that maps the input signals to
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corresponding responses, it can be a filter, or a system of
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differential equations. In any case, the model has same parameter that
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differential equations. In any case, the model has some parameters that
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specify how input and output signals are related. Which combination
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of parameter values are best suited to describe the input-output
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relation? The process of finding the best parameter values is an
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@ -38,10 +38,9 @@ chapter~\ref{descriptivestatisticschapter}.
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For drawing numbers $x_i$ from a normal distribution we use the
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\code{randn()} function. This function returns normally distributed
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numbers $\xi_i$ with zero mean and unit standard deviation. For
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changing the standard deviation $\sigma$ we need to multiply the
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returned data values with the required standard deviation. For
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changing the mean we just add the desired mean $\mu$ to the random
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numbers:
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changing the standard deviation we need to multiply the returned data
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values with the required standard deviation $\sigma$. For changing the
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mean we just add the desired mean $\mu$ to the random numbers:
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\begin{equation}
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x_i = \sigma \xi_i + \mu
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\end{equation}
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