In this classic of statistical mathematical theory, Harald Cramér joins
the two major lines of development in the field: while British and
American statisticians were developing the science of statistical
inference, French and Russian probabilitists transformed the classical
calculus of probability into a rigorous and pure mathematical theory.
The result of Cramér's work is a masterly exposition of the mathematical
methods of modern statistics that set the standard that others have
since sought to follow.
For anyone with a working knowledge of undergraduate mathematics the
book is self contained. The first part is an introduction to the
fundamental concept of a distribution and of integration with respect to
a distribution. The second part contains the general theory of random
variables and probability distributions while the third is devoted to
the theory of sampling, statistical estimation, and tests of
significance.