### On a Statistical Model of Strand and Westwater for the Numerical Solution of a Fredholm Integral Equation of the First KindOn a Statistical Model of Strand and Westwater for the Numerical Solution of a Fredholm Integral Equation of the First Kind

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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