Tests and confidence intervals for geometric mean from one and two populations: a unified approach - Elsayed A.H. Elamir - Vita e Pensiero - Articolo Statistica & Applicazioni

Tests and confidence intervals for geometric mean from one and two populations: a unified approach

digital Tests and confidence intervals for geometric mean from one and
two populations: a unified approach
Article
journal STATISTICA & APPLICAZIONI
issue STATISTICA & APPLICAZIONI - 2015 - 2
title Tests and confidence intervals for geometric mean from one and two populations: a unified approach
author
publisher Vita e Pensiero
format Article | Pdf
online since 10-2016
issn 1824-6672 (print) | 2283-6659 (digital)
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The geometric mean is a type of mean which indicates the central tendency of a set of numbers by using the product of their values and has many applications in several fields such as proportional growth, signal processing and spectral flatness. A unified approach to tests and confidence intervals for geometric mean in one population and two populations are introduced based on lognormal distribution under no conditions on the parent population. The distribution of the ratio of two geometric means is derived without any assumption on the distribution of the data. Three applications in banking, business and medicine are used to illustrate the benefits of the method.

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