Statistical Modelling 3 (2003), 43–64
Modelling data from inside the Earth: local smoothing of mean and
dispersion structure in deep drill data
Göran Kauermann
Universität Bielefeld,
Postfach 100131,
D-33501 Bielefeld,
Germany.
eMail:
gkauermann@wiwi.uni-bielefeld.de
Helmut Küchenhoff
Ludwig-Maximilians-Universität,
München, Germany.
Abstract:
The paper describes the analysis of data originating from the
German Deep Drill Program. The amount of 'cataclastic rocks' is
modelled with data resulting from a series of measurements taken
from deep drill samples ranging from 1000 up to 5000 m depth. The
measurements thereby describe the amount of strongly deformed rock
particles and serve as indicator for the occurrence of cataclastic
shear zones, which are areas of severely 'ground' stones due to
movements of different layers in the earth crust. The data
represent a 'depth series' as analogue to a 'time series', with
mean, dispersion and correlation structure varying in depth. The
general smooth structure is thereby disturbed by peaks and outliers
so that robust procedures have to be applied for estimation. In
terms of statistical modelling technology three different
peculiarities of the data have to be tackled simultaneously, that
is estimation of the correlation structure, local bandwidth selection
and robust smoothing. To do so, existing routines are adapted and
combined in new 'two-stage' estimation procedures.
Keywords:
LOCAL BANDWIDTH; LOCAL SMOOTHING; ROBUST SMOOTHING;
SMOOTHING CORRELATED DATA.
Downloads:
Data,
S-Plus code and help file in zipped archive
A brief documentation for the data as well as the data may be
obtained from
http://www.stat.uni-muenchen.de/service/datenarchiv/ktb/ktb_e.html
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