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Author Herr, David G.
Source ACM Digital Library
Content type Text
Publisher Association for Computing Machinery (ACM)
File Format PDF
Copyright Year ©1974
Language English
Subject Domain (in DDC) Computer science, information & general works ♦ Data processing & computer science
Abstract A statistical model is presented which is useful in the solution of a Fredholm integral equation of the first kind and equivalent to one proposed by Strand and Westwater. The model and the related problem presented here are familiar to statisticians from the study of regression analysis and are essentially, “(GLM): Find the best linear unbiased estimate of $\textit{β}$ given the observation $\textit{y}$ which satisfies $\textit{y}$ = $\textit{Hβ}$ + e, e distributed as $\textit{N}$ (0, Γ).” Here y, β c are vectors, $\textit{H}$ is an $(\textit{m}$ + $\textit{n})$ × $\textit{k}$ matrix, and Γ is a certain $(\textit{m}$ + $\textit{n})$ × $(\textit{m}$ + $\textit{n})$ positive definite, known matrix. The main content of the paper is that (GLM) provides an equivalent way of considering the problem of Strand and Westwater and is to be preferred by virtue of the rich store of results available for the study of (GLM) and its intrinsic geometric nature.
ISSN 00045411
Age Range 18 to 22 years ♦ above 22 year
Educational Use Research
Education Level UG and PG
Learning Resource Type Article
Publisher Date 1974-01-01
Publisher Place New York
e-ISSN 1557735X
Journal Journal of the ACM (JACM)
Volume Number 21
Issue Number 1
Page Count 5
Starting Page 1
Ending Page 5


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Source: ACM Digital Library