Obtaining lower confidence bounds on the reliability of a series system remains a problem of interest. Engineers and practitioners desire methods with good properties to obtain lower confidence bounds when only component-level binomial test data are available. With numerous methods proposed in the literature-none of which are uniformly superior-it can be an overwhelming task to select the method which best handles the scenario at hand. We develop a software tool in R (available in the “serieslcb” package) through which users can discover the methods that best suit their situation. The tool runs user-defined simulations and then ranks the best performing methods based on objective comparisons utilizing a delta coverage metric. This article outlines the methods and comparison strategy implemented in the package. It also discusses the design of the software tool and illustrates it with an example.

中文翻译：

---

二项式级数系统可靠性置信界限方法的客观比较


获得串联系统可靠性的置信下限仍然是一个令人感兴趣的问题。工程师和从业人员希望具有良好特性的方法，以便在仅获得组件级二项式测试数据时获得较低的置信界限。文献中提出了多种方法（没有一种方法是一致优越的），选择最能处理当前场景的方法可能是一项艰巨的任务。我们用 R 开发了一个软件工具（在“serieslcb”包中提供），用户可以通过它发现最适合他们情况的方法。该工具运行用户定义的模拟，然后利用增量覆盖指标根据客观比较对最佳性能方法进行排名。本文概述了该包中实现的方法和比较策略。它还讨论了软件工具的设计并通过示例进行了说明。