The modified exponential gives an excellent fit to the actual data in column Q (actual data are not plotted to avoid cluttering the graph). Early growth from the modified exponential is sensational, more than 186% from 1950 to 1951. The modified-exponential curve runs
Mastering Modified Exponential Curves: A Guide for Statistics …
A modified exponential curve is a mathematical function that represents exponential growth or decay with certain modifications. Unlike a simple exponential curve, the modified version incorporates additional parameters, making it more adaptable to real-world scenarios.
An Exponential Curve Model and Its Application in Forecasting …
May 30, 2022 · In this paper, inspired by classical exponential curve, modified exponential curve, a new exponential curve model with a first-order polynomial term is proposed, and the three-sum method is extended and applied in this model to solve …
Jun 11, 2016 · the fitting of simple exponential curve and modified exponential curve to numerical data. This paper describes the method of fitting of the two curves, by the approach, with numerical example.
MODIFIED EXPONENTIAL CURVE The modified exponential growth curve may be written in the form Y= k+ABX, A <O, O <B < 1. (16) In this equation, k signifies the asymptotic upper limit of Y as X-+ o. Equation (16) may be rewritten in the form ln (1 ) ln (- ) …
Improved prediction model of modified exponential curve
This paper is mainly introduce improved model which add one-time items based on modified exponential curve prediction model. In this article, we not only proved the characteristics of the historical data which consistent with this model in theory but also describes how to solve the unknown parameters according to the given time series.
exponential, modified exponential and logistic growth curves are elementary functions of the mag-nitude of the time series. Such considerations have led to the formulation of a class of relative growth rate models for essentially monotonically increasing data [4]. These models are capable of describing saturating as well as nonsaturating growth.
The Modified Exponential Distribution with Applications
Aug 1, 2017 · In this article, we generalize the exponential distribution by compounding the extended exponential distribution (Gomez et al., 2014) and generalized exponential distribution (Gupta and...
Elimination-Minimization Principle: Fitting of Modified Exponential ...
Oct 23, 2022 · This paper describes the method of fitting, by the approach, of modified exponential curve to numerical data.
A new fractional modified exponential curve model and its …
Mar 7, 2022 · First, the original data are processed by fractional order accumulation or fractional order difference, and then the corresponding modified exponential curve model is established. The optimal fractional order is determined by the particle swarm optimization algorithm under certain error criteria.
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