论文标题
理论结果和建模在离散的Birnbaum-Saunders分布下
Theoretical results and modeling under the discrete Birnbaum-Saunders distribution
论文作者
论文摘要
在本文中，我们讨论了Birnbaum-Saunders分布的离散版本的一些理论结果和属性。我们提供了该模型未偶体性的证明。此外，还提供了矩，分位数功能，可靠性和订单统计数据的结果。此外，我们提出了一个基于离散的Birnbaum-Saunders分布的回归模型。通过最大似然法估算模型参数，并进行了蒙特卡洛研究以评估估计器的性能。最后，我们通过使用真实数据集说明了所提出的方法。
In this paper, we discuss some theoretical results and properties of a discrete version of the Birnbaum-Saunders distribution. We present a proof of the unimodality of this model. Moreover, results on moments, quantile function, reliability and order statistics are also presented. In addition, we propose a regression model based on the discrete Birnbaum-Saunders distribution. The model parameters are estimated by the maximum likelihood method and a Monte Carlo study is performed to evaluate the performance of the estimators. Finally, we illustrate the proposed methodology with the use of real data sets.
