est3bs {bs}R Documentation

Modified moment estimation (MME) of the Birnbaum-Saunders distribution

Description

The function est3bs() estimates the parameters alpha and beta of the BSD from a sample of observations by using the modified moment method (MLE); see Ng, Kundub and Balakrishnan (2006).

Usage

est3bs(x)

Arguments

x Vector of observations.

Value

The function est3bs() returns a list with two elements:

alpha Estimation of alpha by using MME method.
beta Estimation of beta by using MME method.

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.

Ng, H. K., Kundub, D., Balakrishnan, N. (2006). Point and interval estimation for the two-parameter Birnbaum-Saunders distribution based on Type-II censored samples. Computational Statistics and Data Analysis 50:3222-3242.

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]