An Introduction to Probability and Statistics, 3rd Edition

ENUMERATION OF THEOREMS AND REFERENCES

This book is divided into 13 chapters, numbered 1 through 13. Each chapter is divided into several sections. Lemmas, theorems, equations, definitions, remarks, figures, and so on, are numbered consecutively within each section. Thus Theorem i.j.k refers to the kth theorem in Section j of Chapter i, Section i.j refers to the jth section of Chapter i, and so on. Theorem j refers to the jth theorem of the section in which it appears. A similar convention is used for equations except that equation numbers are enclosed in parentheses. Each section is followed by a set of problems for which the same numbering system is used.

References are given at the end of the book and are denoted in the text by numbers enclosed in square brackets, [ ]. If a citation is to a book, the notation ([i, p. j]) refers to the jth page of the reference numbered [i].

A word about the proofs of results stated without proof in this book. If a reference appears immediately following or preceding the statement of a result, it generally means that the proof is beyond the scope of this text. If no reference is given, it indicates that the proof is left to the reader. Sometimes the reader is asked to supply the proof as a problem.