weibullness (version 2.26.9)

weibull.pwrm: Robust estimate of shape and scale parameters of Weibull using the power-weighted repeated median (PWRM) method

Description

Calculates the estimates of the shape and scale parameters.

Usage

weibull.pwrm(x, a, weight=FALSE, power=1)

Value

An object of class weibull.estimate, a list with two parameter estimates

Arguments

x

a numeric vector of observations.

a

the offset fraction to be used; typically in (0,1). See ppoints.

weight

FALSE (default) uses the ordinary median, while TRUE uses the weighted median.

power

power is the power in the weight of the PWRM method. The default value is 1. The weibull.pwrm function with weight=FALSE and power=1 is essentially the same as weibull.rm function.

Author

Chanseok Park

Details

weibull.pwrm obtains the robust estimates of the shape and scale parameters using the intercept and slope estimates using the PWRM method from the Weibull plot.

References

Park, C., X. Gao, and M. Wang (2024). Robust explicit estimators using the power-weighted repeated medians. Journal of Applied Statistics, 51(8), 1590-1608. tools:::Rd_expr_doi("10.1080/02664763.2023.2229969")

See Also

weibull.mle for the parameter estimation using the maximum likelihood method.

weibull.wp for the parameter estimation using the Weibull plot.

weibull.rm for the parameter estimation using the repeated median (RM) method.

fitdistr for maximum-likelihood fitting of univariate distributions in package MASS.

Examples

attach(Wdata)
weibull.pwrm(bearing)