Continuous growth models in terms of generalized logarithm and exponential functions

Details Continuous growth models in terms of generalized logarithm and exponential functions Continuous growth models in terms of generalized logarithm and exponential functions

2008-03-18

arxiv.org/abs/0803.2635v2

Physica A 387 (2008) 5679--5687

Economy

Quantitative Finance

General Finance

7 pages, 1 table and 1 figure

Scientific paper

10.1016/j.physa.2008.06.015

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.

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