To validate pollution data, subject-matter experts in Airpl (an organization that maintains a network of air pollution monitoring stations in western France) daily perform visual examinations of the data and check their consistency. In this paper, we describe these visual examinations and propose a formalization for this problem. The examinations consist in comparisons of so-called shorth intervals so we build a statistical test that compares such intervals in a nonparametric regression model. This...
To validate pollution data, subject-matter experts in Airpl (an organization
that maintains a network of air pollution monitoring stations in western
France) daily perform visual examinations of the data and check their
consistency. In this paper, we describe these visual examinations and
propose a formalization for this problem. The examinations consist
in comparisons of so-called shorth intervals so we build a statistical
test that compares such intervals in a nonparametric regression model.
This...
The paper is concerned with the asymptotic distributions of estimators for
the length and the centre of the so-called -shorth interval in a
nonparametric regression framework. It is shown that the estimator of the
length converges at the
-rate to a Gaussian law and that the
estimator of the centre converges at the
-rate to the location
of the maximum of a Brownian motion with parabolic drift.
Bootstrap procedures are proposed and shown to be consistent.
They...
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