Having read around on the topic I understand its application as a close approximation of the normal distribution with a nicer mathematical form, but where does its name come from?
Is it associated with computer logic and its binary nature?
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The cumulative distribution function of the logistic distribution is the logistic function
$$ F(x) = \frac{1}{1+e^{-(x-\mu)/s}} $$
For an explanation of where the logistic function got its name, check the What does the name "Logistic Regression" mean? thread.
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$\begingroup$ well shoot, I had always assumed that its name came from the inherent limits regarding the detailed coordination of a complex operation... e.g. "logistics" $\endgroup$– MichaelJul 25, 2022 at 18:49