Large Sample Inference about the Ratio of Means in Two Independent Populations

DOI

10.2991/jsta.2017.16.3.8How to use a DOI?

Keywords

Cramer's Theorem; Fieller's Theorem; Ratio of Means; Simulation; Slutsky's Theorem.

Abstract

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.

Copyright

© 2017, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - JOUR
AU  - Mohammad Reza Mahmoudi
AU  - Javad Behboodian
AU  - Mohsen Maleki
PY  - 2017
DA  - 2017/09/01
TI  - Large Sample Inference about the Ratio of Means in Two Independent Populations
JO  - Journal of Statistical Theory and Applications
SP  - 366
EP  - 374
VL  - 16
IS  - 3
SN  - 2214-1766
UR  - https://doi.org/10.2991/jsta.2017.16.3.8
DO  - 10.2991/jsta.2017.16.3.8
ID  - Mahmoudi2017
ER  -