alpha

beta

<p>Simulating from BS distribution whose density function is given by
$$
f_{{BS}}(t|\alpha,\beta)=\frac{0.5t +0.5 \beta}{\sqrt{2\pi}\alpha \sqrt{\beta}t^{\frac{3}{2}}} \exp\left\{-\frac{(t-\beta)^2}{2\alpha^2\beta t}\right\},
$$
where $t$&gt;0. The parameters of GBS distribution are $\alpha$&gt;0 and $\beta$&gt;0.</p>

Developed for the following tasks. 1- Simulating and computing the maximum likelihood
estimator for the Birnbaum-Saunders (BS) distribution, 2- Computing the Bayesian estimator for
the parameters of the BS distribution based on reference prior proposed by Xu and Tang (2010)
<doi:10.1016/j.csda.2009.08.004> and conjugate prior. 3- Computing the Bayesian estimator for
the BS distribution based on conjugate prior. 4- Computing the Bayesian estimator for the BS
distribution based on Jeffrey prior given by Achcar (1993) <doi:10.1016/0167-9473(93)90170-X>
5- Computing the Bayesian estimator for the BS distribution under progressive type-II censoring
scheme.

Mahdi Teimouri

rbs: Simulating from Birnbaum-Saunders (BS) distribution.

Description

Usage

Arguments

Value

Examples