BLOMEst: Blom's estimators of the two parameters of the Weibull...

In EWGoF: Goodness-of-Fit Tests for the Exponential and Two-Parameter Weibull Distributions

Description

Computes the Blom's estimators of the shape and scale parameters of the Weibull distribution from an i.i.d sample x. It also gives the sample \check{y} after using the logarithmic transformation (\check{y}=(\check{shape})\ln(x/\check{scale}), where \check{shape} and \check{scale} are the estimated shape and scale parameters).

Usage

BLOMEst(x)

Arguments

x	a numeric vector of data values.

Value

A list containing the following elements:

eta	the Blom's estimator of the scale parameter of the Weibull distribution (\check{scale}).
beta	the Blom's estimator of the shape parameter of the Weibull distribution (\check{shape}).
y	the pseudo-observations \check{y} after using the logarithmic transformation and the Blom's estimators.

Author(s)

Meryam KRIT

References

Blom G., Statistical Estimates and Transformed Beta-variables. New York: Wiley, 1958.

Examples

x <- rweibull(50,2,3)

#Value of the Blom's estimator of the scale parameter
BLOMEst(x)$eta

#Value of the Blom's estimator of the shape parameter
BLOMEst(x)$beta

EWGoF documentation built on May 2, 2019, 6:09 a.m.