论文标题

在决策理论方法下,Birnbaum-Saunders分布的最佳样本量

Optimal sample size for the Birnbaum-Saunders distribution under a decision-theoretic approach

论文作者

Costa, Eliardo G., Santos-Neto, Manoel

论文摘要

Birnbaum-Saunders分布已被广泛应用于科学的几个领域,尽管已经提出了与此分布相关的几种方法,但确定最佳样本量以估算其平均值的问题尚未研究。为此,我们提出了一种方法,以确定决策理论方法下的最佳样本量。在这种方法中,我们考虑了点和间隔推断的损失功能。最后,开发了R语言中的计算工具用于实践。

The Birnbaum-Saunders distribution has been widely applied in several areas of science and although several methodologies related to this distribution have been proposed, the problem of determining the optimal sample size for estimating its mean has not yet been studied. For this purpose, we propose a methodology to determine the optimal sample size under a decision-theoretic approach. In this approach, we consider loss functions for point and interval inference. Finally, computational tools in the R language were developed to use in practice.

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