Some Families of Sigmoid Functions

The subject of this book is extension of some families of sigmoid functions (log-logistic hyper-log-logistic quadratic transmuted log-logistic exponentiated Weibull-log-logistic Weibull-R family with baseline Pareto and Lomax cumulative sigmoids G-Zubair-family with baseline Burr XII cumulative sigmoid recurrence generated families of sigmoid functions) with applications to growth theory. We also study the one-sided Hausdorff approximation of the generalized cut function by sigmoidal general n-stage growth model. The estimates of the value of the best Hausdorff approximation can be used in practice as one possible additional criterions in ''''saturation'''' and ''''lag-time'''' study. Some applications in the field of biochemical processes and debugging theory are also explored. Numerical examples are presented using CAS MATHEMATICA.