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The Mathematics of Growth Against Limits

Feinstein, David I. (1981) The Mathematics of Growth Against Limits. Social Science Working Paper, 374. California Institute of Technology , Pasadena, CA. (Unpublished) https://resolver.caltech.edu/CaltechAUTHORS:20171005-164931810

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Abstract

The single step growth against limit equation is introduced and its consequences (s curves) are briefly explored. The possibility of sudden jumps (violations) from one growth limit curve to another is recognized and formulated. The full model featuring stochastic violations is developed. An integral equation governing the time evolution of probability density of growth is derived. The integral equation is reduced to a dispersion relation which is used to calculate the velocities of the first three moments of the growth probability density. The improvements in airliner performance over the years is analyzed by decomposition of certain economic data against the models parameters.


Item Type:Report or Paper (Working Paper)
Additional Information:I wish to thank Dr. Burton Klein for extensive discussion of the human underpinnings of all this.
Group:Social Science Working Papers
Series Name:Social Science Working Paper
Issue or Number:374
Record Number:CaltechAUTHORS:20171005-164931810
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20171005-164931810
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:82140
Collection:CaltechAUTHORS
Deposited By: Jacquelyn Bussone
Deposited On:06 Oct 2017 17:32
Last Modified:03 Oct 2019 18:51

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