Estimation of the third and fourth order central moments of measurement errors from sums of powers of least squares adjustment residuals: Fid-Bau Portal

Fachinformationsdienst BAUdigital

A platform for research: civil engineering, architecture and urbanism

Estimation of the third and fourth order central moments of measurement errors from sums of powers of least squares adjustment residuals

Zbigniew, Wiśniewski

Summary In the paper a method of determination of estimators of the central moments of the third and fourth order on the basis of the least squares adjustment is presented. These estimators concern the moments of the observation results as well as to readjustment (better) of observation sets with application of methods that take into consideration moments of higher order (not only the variance-covariance matrix). The obtained estimators are not biased, but their effectiveness was not studied. That is why the presented theory is not completed (in the sense of the estimators properties).

Access

Check availability in my library

Order at Subito €

Page navigation

Document information

Export, share and cite

Estimation of the third and fourth order central moments of measurement errors from sums of powers of least squares adjustment residuals

Zbigniew, Wiśniewski

Summary In the paper a method of determination of estimators of the central moments of the third and fourth order on the basis of the least squares adjustment is presented. These estimators concern the moments of the observation results as well as to readjustment (better) of observation sets with application of methods that take into consideration moments of higher order (not only the variance-covariance matrix). The obtained estimators are not biased, but their effectiveness was not studied. That is why the presented theory is not completed (in the sense of the estimators properties).

Estimation of the third and fourth order central moments of measurement errors from sums of powers of least squares adjustment residuals

Zbigniew, Wiśniewski

Summary In the paper a method of determination of estimators of the central moments of the third and fourth order on the basis of the least squares adjustment is presented. These estimators concern the moments of the observation results as well as to readjustment (better) of observation sets with application of methods that take into consideration moments of higher order (not only the variance-covariance matrix). The obtained estimators are not biased, but their effectiveness was not studied. That is why the presented theory is not completed (in the sense of the estimators properties).

Access

Check availability in my library

Order at Subito €

Page navigation

Document information

Export, share and cite

Document information

Title:

Estimation of the third and fourth order central moments of measurement errors from sums of powers of least squares adjustment residuals

Contributors:

Zbigniew, Wiśniewski (author)

Published in:

Journal of Geodesy ; 70

Publication date:

1996

ISSN:

DOI:

https://doi.org/10.1007/BF00867346

Type of media:

Article (Journal)

Type of material:

Print

Language:

English

Keywords:

Geodäsie , Geodynamik

Classification:

BKL: 38.73 Geodäsie

Similar titles

Least Squares Adjustment through Reparameterisation

Tan, Willie | Online Contents | 2002

Least squares adjustment and collocation

Koch, K. -R. | Online Contents | 1977

Least fourth powers: optimisation method favouring outliers

Cellmer, S | Online Contents | 2014

Point and interval estimations especially of point errors, in multidimensional least squares adjustment

Grafarend, E. / Kelm, R. | Online Contents | 1972

Point and interval estimations especially of point errors, in multidimensional least-squares adjustment

Grafarend, E. / Kelm, R. | Online Contents | 1972