  The length-biased Birnbaum-Saunders distribution is both useful and practical
for environmental sciences. In this paper, we initially derive some new
properties for the length-biased Birnbaum-Saunders distribution, showing that
one of its parameters is the mode and that it is bimodal. We then introduce a
new regression model based on this distribution. We implement use the maximum
likelihood method for parameter estimation, approach interval estimation and
consider three types of residuals. An elaborate Monte Carlo study is carried
out for evaluating the performance of the likelihood-based estimates, the
confidence intervals and the empirical distribution of the residuals. Finally,
we illustrate the proposed regression model with the use of a real
meteorological data set.
