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EspañolGOMPERTZ CURVE
A 'Gompertz curve', named after Benjamin Gompertz, is a type of mathematical model for a time series, where growth is slowest at the start and end of a time period.
:
where
★ ''a'' is the upper asymptote
★ ''c'' is the growth rate
★ ''b, c'' are negative numbers
★ ''e'' is the base of the natural logarithm (''e'' = 2.71828...)
Examples of uses for Gompertz curves include:
★ Mobile phone uptake, where costs were initially high (so uptake was slow), followed by a period of rapid growth, followed by a slowing of uptake as saturation was reached.
★ Population in a confined space, as birth rates first increase and then slow as resource limits are reached.
★ Logistic function
★ Gompertz-Makeham law of mortality
:
where
★ ''a'' is the upper asymptote
★ ''c'' is the growth rate
★ ''b, c'' are negative numbers
★ ''e'' is the base of the natural logarithm (''e'' = 2.71828...)
Graphs of Gompertz curves, showing the effect of varying one of a,b,c while keeping the others constant.
Examples of uses for Gompertz curves include:
★ Mobile phone uptake, where costs were initially high (so uptake was slow), followed by a period of rapid growth, followed by a slowing of uptake as saturation was reached.
★ Population in a confined space, as birth rates first increase and then slow as resource limits are reached.
| Contents |
| See also |
See also
★ Logistic function
★ Gompertz-Makeham law of mortality
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