This work is about both sample surveys and the mathematics of sample surveys. The mathematics is both elementary and rigorous. It is suitable for a one-year junior-senior level course for mathematics and statistics majors as well as for students in the social sciences who are not handicapped by a fear of proofs in mathematics. It requires no previous knowledge of statistics, and a sizeable part of the book covers the discrete probability needed for the sampling methods covered. Topics then covered are: simple random sampling; sampling with unequal probabilities; linear relationships;...

Suitable for a graduate course in analytic probability theory, this text requires no previous knowledge of probability and only a limited background in real analysis. In addition to providing instruction for graduate students in mathematics and mathematical statistics, the book features detailed proofs that offer direct access to the basic theorems of probability theory for mathematicians of all interests.
The treatment strikes a balance between measure-theoretic aspects of probability and distribution aspects, presenting some of the basic theorems of analytic probability theory in a...