Junting Ren, Fabian J E Telschow, Armin Schwartzman
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引用次数: 0
Abstract
Motivated by the questions of risk assessment in climatology (temperature change in North America) and medicine (impact of statin usage and coronavirus disease 2019 on hospitalized patients), we address the problem of estimating the set in the domain of a function whose image equals a predefined subset of the real line. Existing methods require strict assumptions. We generalize the estimation of such sets to dense and nondense domains with protection against inflated Type I error in exploratory data analysis. This is achieved by proving that confidence sets of multiple upper, lower, or interval sets can be simultaneously constructed with the desired confidence nonasymptotically through inverting simultaneous confidence intervals. Nonparametric bootstrap algorithm and code are provided.
受气候学（北美气温变化）和医学（他汀类药物的使用和 2019 年冠状病毒疾病对住院病人的影响）中风险评估问题的启发，我们解决了估计函数域中的集合的问题，该函数的图像等于实线的预定义子集。现有方法需要严格的假设条件。我们将此类集合的估计方法推广到稠密域和非稠密域，并在探索性数据分析中防止 I 类错误的扩大。为此，我们证明了多个上集、下集或区间集的置信度集可以通过同时倒置置信区间，以非渐近的方式同时构建出所需的置信度。提供了非参数引导算法和代码。
期刊介绍：
Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance.
Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.
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