MEst: Moment Estimators of the two parameters of the Weibull distribution
Description
This function computes the Moment Estimators (MEs) of the shape and scale parameters of the Weibull distribution from an i.i.d sample x. It also gives the sample \(\breve{y}\) after using the logarithmic transformation (\(\breve{y}=(\breve{shape})\ln(x/\breve{scale})\), where \(\breve{shape}\) and \(\breve{scale}\) are the estimated shape and scale parameters).
Usage
MEst(x)
Arguments
x
a numeric vector of data values.
Value
A list containing the following elements:
eta
the moment estimator of the scale parameter of the Weibull distribution (\(\breve{scale}\)).
beta
the moment estimator of the shape parameter of the Weibull distribution (\(\breve{shape}\)).
y
the pseudo-observations \(\breve{y}\) after using the logarithmic transformation and the MEs.
Details
The elements of the numeric vector should be positive. The support of the Weibull distribution is R+*. These estimators are based on the moments of the extreme value distribution.
References
Rinne H., The Weibull distribution - A handbook, CRC-Chapman & Hall, 2009.
# NOT RUN {x <- rweibull(50,2,3)
Est <- MEst(x)
#Value of the moment estimator of the scale parameterEst$eta
#Value of the moment estimator of the shape parameterEst$beta
# }