On Some Growth Curve Modeling: Approximation Theory And Applications
Mathematical models of growth have been developed a long period of time. Estimating the lag time in the growth process is a practically important problem. Any sigmoidal function can be good illustration for the concept of lag time. The Stannard growth model is described by 4 free parameters, each contributing to the characteristics of the curve: an initial lag or period of slow growth; a period of rapid exponential growth; a period of reduced growth rate. In this note we provide more precise estimates for the one sided Hausdorff approximation of the Heaviside step function by sigmoidal Stannard function new lag t Numerical examples, illustrating our results are given, too. Keywords sigmoidal Stannard function; interval step function; Hausdorff distance; upper and lower bounds; lag time.