ABSTRACT
In statistics we study techniques for obtaining and using information in the presence of
uncertainty. A prerequisite for such a study is a mathematical model for randomness and
some knowledge of its properties. The Kolmogorov model and the modern theory of prob-
ability based on it are what we need. The reader is expected to have had a basic course in
probability theory. The purpose of this appendix is to indicate what results we consider ba-
sic and to introduce some of the notation that will be used in the rest of the book. Because
the notation and the level of generality differ somewhat from that found in the standard
textbooks in probability at this level, we include some commentary. Sections A.14 and
A.15 contain some results that the student may not know, which are relevant to our study
of statistics. Therefore, we include some proofs as well in these sections.
