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Determining correlations of derivatives of a function given only measurements of that function
Cross-posted from statistics stackexchange:
Say we have a permanent-magnet DC motor that roughly obeys the system equation $\ddot{x}(t) = \alpha \dot{x}(t) + \beta u(t) + \gamma$, where $x(t)$ is the ...
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writing a piecewise regression model as a linear model
lets write the following piecewise regression model
$$y= \alpha_0 + \alpha_1 x +\epsilon ;\ \ x\le x_0 $$
$$ y=\beta_0 +\beta_1 x + \epsilon \ \ x\gt x_0$$
according to the variable $x_0$ is known,...
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