Continuous growth models in terms of generalized logarithm and exponential functions
General Finance
2009-10-20 v2 Biological Physics
Abstract
Consider the one-parameter generalizations of the logarithmic and exponential functions which are obtained from the integration of non-symmetrical hyperboles. These generalizations coincide to the one obtained in the context of non-extensive thermostatistics. We show that these functions are suitable to describe and unify the great majority of continuous growth models, which we briefly review. Physical interpretation to the generalization function parameter is given for the Richards' model, which has an underlying microscopic model to justify it.
Cite
@article{arxiv.0803.2635,
title = {Continuous growth models in terms of generalized logarithm and exponential functions},
author = {Alexandre Souto Martinez and Rodrigo Silva Gonzalez and Cesar Augusto Sangaletti Tercariol},
journal= {arXiv preprint arXiv:0803.2635},
year = {2009}
}
Comments
7 pages, 1 table and 1 figure