| Type: | Package |
| Title: | Gompertz Curve Fitting |
| Version: | 0.1.0 |
| Description: | A system for fitting Gompertz Curve in a Time Series Data. |
| License: | GPL-3 |
| Encoding: | UTF-8 |
| RoxygenNote: | 7.1.2 |
| NeedsCompilation: | no |
| Packaged: | 2022-06-10 19:04:46 UTC; USER |
| Author: | Arnab Roy [aut, cre], Debarghya Baul [aut] |
| Maintainer: | Arnab Roy <arnabroy7640@gmail.com> |
| Repository: | CRAN |
| Date/Publication: | 2022-06-13 06:50:19 UTC |
Gompetrz Curve Fitting
Description
This function fits the Gompertz Curve in Time Series Data along with estimates of the parameters and predicted value.
Usage
gmptz(y)
Arguments
y |
a numeric vector |
Details
The Gompertz curve is a type of mathematical model for a Time Series. It is a sigmoid function which describes growth as being slowest at the start and end of a given time period. The equation of Gompertz curve is given by , Y=k*a^(b^x)
Taking Logarithm on both sides we get, LogY=Logk+(b^x)*Loga ; OR, Z=A+B(C^x) , where Z=LogY , A=logk , B=loga ,C=b; It is a form of Modified Exponential.So ,now we can apply Method Of Group Average.
Value
a.hat , b.hat , k.hat : the estimated values of the parameters a,b and k.
predicted.value : the predicted values of y
Author(s)
ARNAB ROY, DEBARGHYA BAUL
Examples
p=c(12,15,16,18,16,21,25,27,29,30,35,36)
gmptz(p)