Generalizing growth functions assuming parameter heterogeneity.

S. Piantadosi

Research output: Contribution to journalArticle

Abstract

This paper describes generalizations of simple growth equations made by assuming that one or more parameters have a probability distribution in the population. Thus, the product of the parental growth equation and the probability density function when integrated over the range of the parameter produces a compound growth function. In most cases, the resulting equations are more complex than the original function, but the new parameters are interpretable directly in terms of the distribution of the parameter in the population. Despite the frequent need for special functions, an effort has been made here to produce simple mathematical forms. An example is provided using some compound growth functions to describe real growth data. This method appears to be a meaningful and useful way to improve the modeling of growth.

Original languageEnglish (US)
Pages (from-to)50-63
Number of pages14
JournalGrowth, Development and Aging
Volume51
Issue number1
StatePublished - Mar 1987
Externally publishedYes

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Growth
probability distribution
Demography
methodology
Population

ASJC Scopus subject areas

  • Agricultural and Biological Sciences(all)

Cite this

Generalizing growth functions assuming parameter heterogeneity. / Piantadosi, S.

In: Growth, Development and Aging, Vol. 51, No. 1, 03.1987, p. 50-63.

Research output: Contribution to journalArticle

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