Comparison of the logistic and the Gompertz curve under different constraints
Mausumi Dhar, Paritosh Bhattacharya
Abstract
Mausumi Dhar, Paritosh Bhattacharya
Abstract
Both the logistic curve and the Gompertz curve are used to fit the data of growth processes. In this paper, a comparison between the Gompertz and the logistic curve has been performed to find out the more favorable curve in fitting the growth data. In order to do this, we have discussed how both the curves behave under different constraints and also have discussed about their points of inflection and growth rates.
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Both the logistic curve and the Gompertz curve are used to fit the data of growth processes. In this paper, a comparison between the Gompertz and the logistic curve has been performed to find out the more favorable curve in fitting the growth data. In order to do this, we have discussed how both the curves behave under different constraints and also have discussed about their points of inflection and growth rates.
Key concepts: Gompertz function, Inflection point, Growth curve (statistics), Logistic regression, Logistic function, Mathematics, Statistics, Curve fitting