POSTERIORI RELIABILITY IN BOTH CASES ADOPTING DATA-SNOOPING AND
ROBUST METHODS
Y.D. Huang
Civil Engineering Department
Northern Jiaotong University
Beijing, P.R. China
ABSTRACT
The concept of reliability is generalized so that it can apply both
to a photogrammetric system and a photogrammetric result, not only
in the case adopting data-snooping but also in that adopting robust
methods. A measure of result reliability named posteriori
reliability is proposed for assessing residual gross and systematic
errors in concrete photogrammetric results. The expressions of the
measure for both cases of adopting data-snooping and robust methods
are given.
1. INTRODUCTION
When delivering a photogrammetric result, we are also asked to hand
over an assessment of the quality of the result. Because of the
unavoidable presence of gross and systematic errors in the result,
not only a measure of precision but also a measure of reliability
is required to assess the result, the latter evaluating the gross
and systematic errors. However, the existing measure of reliability
is not appropriate for that purpose, although it may be very
suitable for being used to evaluate a system in the design stage of
photogrammetry. That is because it only reflects the ability of a
photogrammetric system to detect gross and systematic errors, but
not the magnitude of the errors themselves in a concrete result.
This paper will give a measure of reliability for that purpose. It
contains the information offered by observations about the concrete
magnitude of gross and systematic errors, So can be more accurate
in assessing concrete results than the existing measure.
Besides, the existing theory of reliability only applies to the
case adopting data-snooping technique, but not to the case using
robust methods. While the robust methods are now recieving more
and more attention and research. They have been found to have
many advantages on the theoretical plane, and some experience in
their application has been acquired. They are tending to wider
and wider application. So it is in urgent need to develop the
existing theory of reliability so that it can apply to the case
using robust methods. The paper will Show how to evaluate the
reliability of result when robust methods are utilized. Some ideas
about how to translate the existing theory of reliability wholly to
the cases using robust methods will also be seen in the paper.
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