By turning point I mean the inflection point. You turn from “driving left” (convex) to “driving right” (concave).
By the way, the derivative of the logistic function is the logistic distribution, and that’s not the Gaussian bell shape, it has much fatter tails: Gaussian tails drop much faster, with exp(-x^2), while the logistic drops with exp(-|x|). (Makes sense, as the logistic curve grows exponentially at the beginning, and the derivative of the exponential is the exponential.)
haha yes indeed. I had never heard the term "turning point" used like that, but I guess it makes sense if you think about it as the turning point of the first derivative.
But I learned what a logistic function is, so thank you. I guess that is needed for the cumulative count.
You might be interested in this. I posted it a few days ago- it's why I'm talking Gaussians.
By the way, the derivative of the logistic function is the logistic distribution, and that’s not the Gaussian bell shape, it has much fatter tails: Gaussian tails drop much faster, with exp(-x^2), while the logistic drops with exp(-|x|). (Makes sense, as the logistic curve grows exponentially at the beginning, and the derivative of the exponential is the exponential.)