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Terms of
Reference
The presence of an unknown number of cycles in GPS observations
of phase differences has generated a new challenging theoretical problem,
which in its utmost generality may be described as the solution of over-determined
equations with both real-valued and integer unknowns. Within this problem
these particular issues emerge: (a) the selection and design of an optimality
criterion that leads to a unique solution, (b) the development of computationally
efficient algorithms for obtaining the optimal solution, especially with respect
to the integer unknowns which require search within a discrete set, (c) the
new types of distributions of the estimated real-valued and integer parameters,
(d) particular geometry in connection with the estimated integer parameters,
(e) the assessment of the accuracy of the solution in the presence of both
random and systematic errors affecting the observations, and (f) new statistical
hypothesis testing techniques.
Steering
Committee
Athanasios
Dermanis (Univ. of Thessaloniki, Greece) - Chair
Objectives
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To attract the attention of researchers beyond
geodesy (statisticians, mathematicians) to this fascinating topic, with
a view towards finding other possible applications beyond those encountered
in geodesy.
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To establish a channel of cooperation on the
ground of methodology and support a closer collaboration between ÒtheoreticiansÒ
and ÒpractitionersÓ.
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To encourage frontier research in the subject
concerning e.g. the evaluationÐcomparison of various different solution
principles (e.g. least squares, Bayesian statistics, best linear estimation)
as well as of the different algorithms for the realisation of the solutions.
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