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SSS 01
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Sigma Series
in Stochastics
SSS Volume 1
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Sigma Series in Stochastics, Volume 1, 175--213
Heldermann Verlag 2004
Empirical Stochastics
Elart von Collani
University of Würzburg, Sanderring 2, 97070 Würzburg, Germany
Any science consists of a theoretical part and an empirical part. The empirical part
deals with the connection between the theoretical models and real world.
The connection is established by procedures allowing to develop theoretical models
on the basis of empirical experience and to exploit theoretical models in order
to make statements about real world aspects. This paper develops scientific procedures
to deal with ignorance and randomness as sources for uncertainty. It is shown that
any stochastic procedure is based on an appropriate prediction allowing to
develop unified principles for the development of optimal stochastics procedures.
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