期刊名称:Journal of Statistical Theory and Applications (JSTA)
电子版ISSN:1538-7887
出版年度:2017
卷号:16
期号:3
页码:368-376
DOI:10.2991/jsta.2017.16.3.8
语种:English
出版社:Atlantis Press
摘要:In a number of situations, for example in biology, psychology and neurosciences, researchers are interested in the ratio of two measured quantities. In this paper, we give an overview of different methods to constructing confidence limits for the ratios. Then by using the limiting theorems, a pivotal quantity for the ratio of population means will be presented. The results will be applied to construct confidence intervals and perform test of hypothesis. Finally, to investigate the ability of the proposed method, a modest simulation study is provided.
关键词:Cramer's Theorem; Fieller's Theorem; Ratio of Means; Simulation; Slutsky's Theorem.