[Statlist] Seminar ueber Statistik

[Christina Kuenzli]

                       ETH and University of Zurich 
      Proff. A.D. Barbour -- P. Buehlmann -- F. Hampel -- H.R. Kuensch 

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           We are pleased to announce the following seminar
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  June 20, 2003, 15.15
  Leonhardstrasse 27, 8006 Zürich, LEO C15

  Asymptotic tests for the volume fraction of stationary random sets

  Volker Schmidt, University of Ulm

This talk is based on joint research with Stephan Boehm and
Lothar Heinrich.

It is well known that the empirical volume fraction
of stationary random sets is asymptotically normal
under appropriate mixing conditions. This suggests
asymptotic tests to check, for example, an hypothetical
volume fraction if the asymptotic variance of the
empirical volume fraction can be estimated consistently.
In connection with this, a nonparametric kernel estimator
of the spectral density of stationary random sets is studied.
Conditions are derived under which this estimator is
asymptotically unbiased and mean-square consistent.
For the planar Boolean model with isotropic compact and convex grains,
an averaged version of the kernel estimator is compared with
the theoretical spectral density.

The results are applied to monitoring of groundwater quality in
Baden-Wuerttemberg.

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(LEO is close to the main building, across the hill-side station of the
'Polybahn') 
Overview maps of ETH : http://www.ethz.ch/search/orientation_en.asp

Further information: Christina Kuenzli, Statistics Seminar of ETH Zurich 
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Everybody is kindly invited
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Eidgenoessische Technische Hochschule Zuerich
Swiss Federal Insitute of Technology Zurich
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Christina Kuenzli            <kuenzli using stat.math.ethz.ch>
Seminar fuer Statistik      
Leonhardstr. 27,  LEO D11          phone: +41 1 632 3438         
ETH-Zentrum,                       fax  : +41 1 632 1228 
CH-8092 Zurich, Switzerland        http://stat.ethz.ch/~