ANALYTICAL QUALITY ASSESSMENT OF ITERATIVELY REWEIGHTED LEAST-SQUARES (IRLS) METHOD

Authors

  • JIANFENG GUO Info Engineering University

DOI:

https://doi.org/10.5380/bcg.v20i1.35914

Keywords:

IRLS, Outlier, DOP, MDB, BNR

Abstract

The iteratively reweighted least-squares (IRLS) technique has been widely
employed in geodetic and geophysical literature. The reliability measures are
important diagnostic tools for inferring the strength of the model validation. An
exact analytical method is adopted to obtain insights on how much iterative
reweighting can affect the quality indicators. Theoretical analyses and numerical
results show that, when the downweighting procedure is performed, (1) the
precision, all kinds of dilution of precision (DOP) metrics and the minimal
detectable bias (MDB) will become larger; (2) the variations of the bias-to-noise
ratio (BNR) are involved, and (3) all these results coincide with those obtained by
the first-order approximation method.

Downloads

Published

2014-03-31

How to Cite

GUO, J. (2014). ANALYTICAL QUALITY ASSESSMENT OF ITERATIVELY REWEIGHTED LEAST-SQUARES (IRLS) METHOD. Bulletin of Geodetic Sciences, 20(1). https://doi.org/10.5380/bcg.v20i1.35914

Issue

Vol. 20 No. 1 (2014)

Section

Article

License

Submission of an original manuscript to the Journal will be taken to mean that it represents original work  not previously published, that is not being considered elsewhere for publication.

The BCG allows the author(s) to hold the copyright without restrictions  and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.

The BCG also allows the authors  to retain publishing rights without restrictions.