est2bs {bs}R Documentation

Graphical method estimation (GME) of the Birnbaum-Saunders distribution

Description

The function est2bs() estimates the parameters alpha and beta of the BSD from a sample of observations by using the graphical method (GME) developed by Chang and Tang (1994). In addition, optionally, the function est2bs() produces a GME plot for the BSD based on the least squares method.

Usage

est2bs(x, plot = "FALSE")

Arguments

x Vector of observations.
plot Logical; if TRUE, the GME plot is provided.

Value

The function est2bs() returns a list with three elements:

alpha Estimation of alpha by using GME method.
beta Estimation of beta by using GME method.
r.squared Coefficient of determination of least squares for GME plot.

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)

D.S. Chang and L.C. Tang (1994). Graphical analysis for Birnbaum-Saunders distribution. Microelectronics and Reliability, 34(1): 17-22.

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]