The following module was proposed for inclusion in the Module List:
modid: Statistics::GaussHelmert
DSLIP: bdpfg
description: General weighted least-squares estimation
userid: HEUEL (Stephan Heuel)
chapterid: 6 (Data_Type_Utilities)
communities:
similar:
Statistics::OLS, Statistics::Descriptive
rationale:
The name Gauss-Helmert comes from the mathematical model which is
used to express the estimation problem. The Gauss-Helmert estimation
is an iterative estimation method and is mainly used by geodesists
(under this very name).
Gauss-Helmert is comparable to the Levenberg-Marquardt method (cf.
Press et al, Numerical Recipes), but can not cope with sinularities
as easily as LM.
A similar module is Statistics::OLS, but this module can only
estimate the linear model y=a*x+b. Statistics::GaussHelmert is much
more complex: it may take any model equation for any dimensions. If
the model is non-linear, you may provide the Jacobians of your
equation with respect to the observations and the unknowns.
The code is not very user-friendly right now and is mainly used for
the upcoming Math::UncertainGeometry module.
enteredby: HEUEL (Stephan Heuel)
enteredon: Fri Jan 25 14:39:33 2002 GMT
The resulting entry would be:
Statistics::
::GaussHelmert bdpfg General weighted least-squares estimation HEUEL
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