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 1 1987

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    ASJC Scopus subject areas

    • Agricultural and Biological Sciences(all)

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