Читать книгу Probability and Statistical Inference - Robert Bartoszynski - Страница 43

1 1 Unless specifically stated, we will be assuming that all coins and/or dice tossed are fair (balanced).

2 2 Asterisks denote more advanced material, as explained in the Preface to the Second Edition.

3 3 In view of the fact proved earlier that all monotone sequences converge, this condition means that (a) if is an increasing sequence of sets in , then and (b) if is a decreasing sequence of sets in , then .

4 4 For various relations among classes of sets defined through closure properties under operations, for example, see Chow and Teicher (1997) and Chung (2001).