Computation of confidence intervals for the adjusted parameters in non-linear equations: a particular case

The general problem of assigning formal errors to individual parameters determined in non-linear least squares adjustments in briefly reviewed, and the specific case of the equations describing the relative rectilinear motion of the components of a double star is discussed in detail. When expressing...

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Detalles Bibliográficos
Autor principal: Torres, G.
Formato: Articulo Comunicacion
Lenguaje:Español
Publicado: 1987
Materias:
Astronomía
Galaxias
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/138887
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-138887
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Español
topic Astronomía
Galaxias
spellingShingle Astronomía
Galaxias
Torres, G.
Computation of confidence intervals for the adjusted parameters in non-linear equations: a particular case
topic_facet Astronomía
Galaxias
description The general problem of assigning formal errors to individual parameters determined in non-linear least squares adjustments in briefly reviewed, and the specific case of the equations describing the relative rectilinear motion of the components of a double star is discussed in detail. When expressing the equations in polar form and performing the adjustment to determine the most probable value of ρ₀ (distance at periastron), t₀ (time of periastron), θ₀ (corresponding position angle) and ν (relative angular velocity), it is not possible to derive mean errors in the usual way to the non-linear character of the system (there is no variance-covariance character matrix in the linear sense). It is here shown how "confidence intervals" may be computed for the estimated quantities for any desired probability level. The complete version of this work will be published elsewhere.
format Articulo
Comunicacion
author Torres, G.
author_facet Torres, G.
author_sort Torres, G.
title Computation of confidence intervals for the adjusted parameters in non-linear equations: a particular case
title_short Computation of confidence intervals for the adjusted parameters in non-linear equations: a particular case
title_full Computation of confidence intervals for the adjusted parameters in non-linear equations: a particular case
title_fullStr Computation of confidence intervals for the adjusted parameters in non-linear equations: a particular case
title_full_unstemmed Computation of confidence intervals for the adjusted parameters in non-linear equations: a particular case
title_sort computation of confidence intervals for the adjusted parameters in non-linear equations: a particular case
publishDate 1987
url http://sedici.unlp.edu.ar/handle/10915/138887
work_keys_str_mv AT torresg computationofconfidenceintervalsfortheadjustedparametersinnonlinearequationsaparticularcase
bdutipo_str Repositorios
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