# Accession Number:

## AD0688756

# Title:

## A GRADUATE COURSE IN PROBABILITY,

# Descriptive Note:

# Corporate Author:

## CALIFORNIA UNIV RIVERSIDE DEPT OF MATHEMATICS

# Personal Author(s):

# Report Date:

## 1969-02-28

# Pagination or Media Count:

## 287.0

# Abstract:

The book is based on a course in probability that was given to graduate students in the Department of Mathematics at UC, Riverside. Its purpose is to define one possible course in probability theory that might be given at a graduate level. The prerequisite for this text is a knowledge of real analysis or measure theory. Also the book does not contain a review of measure theory, but theorems from measure theory are used and usually fully stated. Students are expected to be familiar with the Lebesque integral over abstract spaces and its properties, in particular, the Lebesque dominated convergence theorem, Fubinis theorem, the Radon-Nikodyn theorem, etc. No previous knowledge of probability is needed. This book otherwise is self- contained and consists of exactly enough material for a one-years course in probability. The primary aim in this book is to present some of the basic theorems of analytic probability theory in a cohesive manner. Author

# Descriptors:

# Subject Categories:

- Statistics and Probability