Some Families of Sigmoid Functions
Applications to Growth Theory
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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 ...
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.
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