ScholarLens Back to search
1964•TechnometricsRequires access

A Note on Combining Correlated Estimates of a Ratio of Multivariate Means

Blair M. Bennett

Open publisher page 4 citations

Abstract

This paper presents methods for obtaining estimates for a common ratio, say α, which exists between certain elements of the mean vector of a multivariate normal population. In particular, a comparison is made between the maximum likelihood (M.L.) estimate (= ) available from the generalized Student ratio T 2 and certain weighted linear estimates in the case of two multivariate populations. Numerical examples illustrate the situation for two correlated bivariate populations.

About this research paper

What this paper is about

This paper presents methods for obtaining estimates for a common ratio, say α, which exists between certain elements of the mean vector of a multivariate normal population. In particular, a comparison is made between the maximum likelihood (M.L.) estimate (= ) available from the generalized Student ratio T 2 and certain weighted linear estimates in the case of two multivariate populations. Numerical examples illustrate the situation for two correlated bivariate populations.

Why it matters

OpenAlex reports 4 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

This paper presents methods for obtaining estimates for a common ratio, say α, which exists between certain elements of the mean vector of a multivariate normal population. In particular, a comparison is made between the maximum likelihood (M.L.) estimate (= ) available from the generalized Student ratio T 2 and certain weighted linear estimates in the case of two multivariate populations. Numerical examples illustrate the situation for two correlated bivariate populations.

Key concepts: Multivariate statistics, Bivariate analysis, Multivariate normal distribution, Mathematics, Statistics, Multivariate analysis, Population, Econometrics

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
A Note on Combining Correlated Estimates of a Ratio of Multivariate Means — Research Paper | ScholarLens