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.

翻译：Birnbaum-Saunders 长比值分布对于环境科学既有用又实用。 在本文中,我们最初为长比值 Birnbaum-Saunders 分布得出了一些新的属性,显示其参数之一是模式,它是双式的。然后我们根据这一分布采用一个新的回归模型。我们采用最大可能性方法进行参数估计,采用时间间隔估计,并审议三种类型的残留物。我们进行了一项详尽的蒙特卡洛研究,以评估基于可能性的估计、信心间隔和剩余物的经验分布的性能。最后,我们用一套真正的气象数据来说明拟议的回归模型。