Everything about Gompertz function
Asymmetric sigmoid function
The Gompertz curve or Gompertz function is a type of mathematical model for a time series, named after Benjamin Gompertz (1779–1865). It is a sigmoid function which describes growth as being slowest at the start and end of a given time period. The right-side or future value asymptote of the function is approached much more gradually by the curve than the left-side or lower valued asymptote. This is 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. The function was originally designed to describe human mortality, but since has been modified to be applied in biology, with regard to detailing populations. Wikipedia →
🧠Start here: a 6-step reading path
- Read the overview: Gompertz functionA 5-minute orientation
- Skim a recent paper: The potential post-hatching growth of domestic birds is sufficiently described by the Gompertz functionInfluential work since 2022
- Pick up a classic book: On the use of the Gompertz function in the analysis and projection of fertility trends [by] Frank T. Denton and Byron G. SpencerThe most-reprinted book on the subject
- Read the landmark paper: Modelling of Scenedesmus obliquus; function of nutrients with modified Gompertz modelCited 43 times
- Go sideways: Generalised logistic functionA closely related topic
- Go sideways: Gompertz distributionA closely related topic
đź“– Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Modelling of Scenedesmus obliquus; function of nutrients with modified Gompertz model
Transforming gompertz's function for fertility analysis: The development of a standard for the relational gompertz function
Maximum-Likelihood Estimation of the Parameters of the Gompertz Survival Function
Universality in COVID-19 spread in view of the Gompertz function
The Gompertz function does not measure ageing
Prediction of Longwall Progressive Subsidence Basin Using the Gompertz Time Function
A closed-form expression for the quantile function of the Gompertz–Makeham distribution
Ensemble learning using Gompertz function for leukemia classification
🆕 Influential since 2022
The potential post-hatching growth of domestic birds is sufficiently described by the Gompertz function
Modeling bladder cancer survival function based on neutrosophic inverse Gompertz distribution
Survival Function Estimation for Fuzzy Gompertz Distribution with neutrosophic data
Periodic functions related to the Gompertz difference equation
From networked SIS model to the Gompertz function
đź“š Books worth reading
- 📕On the use of the Gompertz function in the analysis and projection of fertility trends [by] Frank T. Denton and Byron G. SpencerFrank T. Denton · 1973
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
đź”— Related topics
- Generalised logistic function The generalized logistic function or curve is an extension of the logistic or sigmoid functions. Originally developed for growth modelling, it allows for…
- Gompertz distribution In probability and statistics, the Gompertz distribution is a continuous probability distribution, named after Benjamin Gompertz. The Gompertz distribution…
- Force of mortality In actuarial science and demography, force of mortality, also known as death intensity, is a function, usually written μ ( x ) {\displaystyle \mu (x)}…
- Conway–Maxwell–Poisson distribution In probability theory and statistics, the Conway–Maxwell–Poisson (CMP or COM–Poisson) distribution is a discrete probability distribution named after Richard…
- Avrami equation The Avrami equation describes how solids transform from one phase to another at constant temperature. It can specifically describe the kinetics of crystallisati…
- Gompertz–Makeham law of mortality The Gompertz–Makeham law of mortality is a mathematical model for the age pattern of death rates. It expresses the force of mortality (instantaneous hazard…
- Köhler theory Köhler theory describes the vapor pressure of aqueous aerosol particles in thermodynamic equilibrium with a humid atmosphere. It is used in atmospheric…
- Expected shortfall Expected shortfall (ES) is a risk measure—a concept used in the field of financial risk measurement to evaluate the market risk or credit risk of a portfolio…