![]() Where x x is the explanatory variable, a a and b b are model parameters to be fitted, and f f is the standard logistic function. The standard logistic function, where L = 1, k = 1, x 0 = 0 A generalization of the logistic function is the hyperbolastic function of type I. The logistic function finds applications in a range of fields, including biology (especially ecology), biomathematics, chemistry, demography, economics, geoscience, mathematical psychology, probability, sociology, political science, linguistics, statistics, and artificial neural networks. įor values of x x in the domain of real numbers from − ∞ -\infty to ∞ \infty, the S-curve shown on the right is obtained, with the graph of f f approaching L L as x x approaches ∞ \infty and approaching zero as x x approaches − ∞ -\infty. K k, the logistic growth rate or steepness of the curve.
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