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An Introduction to Probability and Statistical Inference, 2nd Edition
book

An Introduction to Probability and Statistical Inference, 2nd Edition

by George G. Roussas
October 2014
Beginner
624 pages
21h 45m
English
Academic Press
Content preview from An Introduction to Probability and Statistical Inference, 2nd Edition
Chapter 2

The concept of probability and basic results

This chapter consists of five sections. The first section is devoted to the definition of the concept of probability. We start with the simplest case, where complete symmetry occurs, proceed with the definition by means of relative frequency, and conclude with the axiomatic definition of probability. The defining properties of probability are illustrated by way of examples. Also, a number of basic properties, resulting from the definition, are stated and justified. Some of them are illustrated by means of examples. This section is concluded with two theorems, which are stated but not proved.

In the second section, the probability distribution function of a r.v. is introduced. Also, the ...

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Publisher Resources

ISBN: 9780128001141