est1bs {bs}R Documentation

Maximum likelihood estimation (MLE) of the Birnbaum-Saunders distribution

Description

The function est1bs() estimates the parameters alpha and beta of the BSD from a sample of observations by using the likelihood method (MLE) and the mean-mean estimator; see Birnbaum and Saunders (1969).

Usage

est1bs(x)

Arguments

x Vector of observations.

Value

The function est1bs() returns a list with four elements:

alpha Estimation of alpha by using MLE method.
beta Estimation of beta by using MLE method.
beta.start Estimation of mean-mean estimator.
iterations Number of iterations of the process.

Author(s)

Víctor Leiva <victor.leiva@uv.cl>, Hugo Hernández <hugo.hernande@msn.com>, and Marco Riquelme <mriquelm@ucm.cl>.

References

Birnbaum, Z. W. and Saunders, S. C. (1969). Estimation for a family of life distributions with applications to fatigue. J. Appl. Probab. 6(2): 328-347.

Leiva, V., Hernández, H., and Riquelme, M. (2006). A New Package for the Birnbaum-Saunders Distribution. Rnews, 6/4, 35-40. (http://www.r-project.org)

Examples

## Load package
library(bs)

## Load data sets
data(psi31)

## Examples for parameters estimation
est1bs(psi31)
est2bs(psi31)
est3bs(psi31)

[Package bs version 1.0 Index]