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Gompertz function : ウィキペディア英語版
Gompertz function
A Gompertz curve or Gompertz function, named after Benjamin Gompertz, is a sigmoid function. It is a type of mathematical model for a time series, where growth is slowest at the start and end of a time period. The right-hand or future value asymptote of the function is approached much more gradually by the curve than the left-hand or lower valued asymptote, in contrast to the simple logistic function in which both asymptotes are approached by the curve symmetrically. It is a special case of the generalised logistic function.
==Formula==
:y(t)=ae^}=ae^0=a
* ''b, c'' are positive numbers
* ''b'' sets the displacement along the ''x'' axis (translates the graph to the left or right)
* ''c'' sets the growth rate (''y'' scaling)
* ''e'' is Euler's Number (''e'' = 2.71828...)

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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