Twenty-?ve years have passed since the publication of the Russian
version of the book Estimation of Dependencies Based on Empirical
Data (EDBED for short). Twen- ?ve years is a long period of time.
During these years many things have happened. Looking back, one can
see how rapidly life and technology have changed, and how slow and
dif?cult it is to change the theoretical foundation of the
technology and its philosophy. I pursued two goals writing this
Afterword: to update the technical results presented in EDBED (the
easy goal) and to describe a general picture of how the new ideas
developed over these years (a much more dif?cult goal). The picture
which I would like to present is a very personal (and therefore
very biased) account of the development of one particular branch of
science, Empirical - ference Science. Such accounts usually are not
included in the content of technical publications. I have followed
this rule in all of my previous books. But this time I would like
to violate it for the following reasons. First of all, for me EDBED
is the important milestone in the development of empirical
inference theory and I would like to explain why. S- ond, during
these years, there were a lot of discussions between supporters of
the new 1 paradigm (now it is called the VC theory ) and the old
one (classical statistics).
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