The cumulative weibull distribution SAR regression model (3 parameters)

Description

S == c(1 - exp(-z * A^f))

Usage

1

Format

The format is: List of 8 $ name : "Cumulative Weibull" $ formula : expression(S == c(1 - exp(-z * A^f))) $ paramnumber: 3 $ paramnames : "c" "z" "f" $ parLim : "Rplus" "Rplus" "Rplus" $ fun : model function $ rssfun : Residual Sum of Squares function $ init : initial values calculation $ form : a formula object for further calculations

Details

The cumulative Weibull distribution (Weibull, 1951) is sigmoid asymptotic. Parameter C is the upper asymptote.It goes through the origin of axes.

Source

Weibull (1951), Tjørve (2003).

References

Tjørve, E. (2003) Shapes and functions of species–area curves: a review of possible models. Journal of Biogeography, 30, 827–835.

Weibull, W. (1951) A statistical distribution function of wide applicability. Journal of Applied Mathematics, 18, 293–296.

Examples

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#loading the weibull model object before using it
data(weibull)