My Wish Lists Login / Join

Basic Probability Theory

By: ROBERT B. ASH

Write A Review

Paperback | 26 June 2008

At a Glance

Paperback
352 Pages

Dimensions(cm)
20.9 x 13.6 x 1.91

Paperback

$30.75

or 4 interest-free payments of $7.69 with

Ships in 5 to 7 business days

This introduction to more advanced courses in probability and real analysis emphasizes the probabilistic way of thinking, rather than measure-theoretic concepts. Geared toward advanced undergraduates and graduate students, its sole prerequisite is calculus.Taking statistics as its major field of application, the text opens with a review of basic concepts, advancing to surveys of random variables, the properties of expectation, conditional probability and expectation, and characteristic functions. Subsequent topics include infinite sequences of random variables, Markov chains, and an introduction to statistics. Complete solutions to some of the problems appear at the end of the book.

Shipping

	Standard Shipping	Express Shipping
Metro postcodes:	$9.99	$14.95
Regional postcodes:	$9.99	$14.95
Rural postcodes:	$9.99	$14.95

Orders over $79.00 qualify for free shipping.

How to return your order

At Booktopia, we offer hassle-free returns in accordance with our returns policy. If you wish to return an item, please get in touch with Booktopia Customer Care.

Additional postage charges may be applicable.

Defective items

If there is a problem with any of the items received for your order then the Booktopia Customer Care team is ready to assist you.

For more info please visit our Help Centre.

You Can Find This Book In

Non-Fiction Mathematics Probability & Statistics

Basic Concepts
Introduction	p. 1
Algebra of Events (Boolean Algebra)	p. 3
Probability	p. 10
Combinatorial Problems	p. 15
Independence	p. 25
Conditional Probability	p. 33
Some Fallacies in Combinatorial Problems	p. 39
Appendix: Stirling's Formula	p. 43
Random Variables
Introduction	p. 46
Definition of a Random Variable	p. 48
Classification of Random Variables	p. 51
Functions of a Random Variable	p. 58
Properties of Distribution Functions	p. 66
Joint Density Functions	p. 70
Relationship Between Joint and Individual Densities; Independence of Random Variables	p. 76
Functions of More Than One Random Variable	p. 85
Some Discrete Examples	p. 95
Expectation
Introduction	p. 100
Terminology and Examples	p. 107
Properties of Expectation	p. 114
Correlation	p. 119
The Method of Indicators	p. 122
Some Properties of the Normal Distribution	p. 124
Chebyshev's Inequality and the Weak Law of Large Numbers	p. 126
Conditional Probability and Expectation
Introduction	p. 130
Examples	p. 133
Conditional Density Functions	p. 135
Conditional Expectation	p. 140
Appendix: The General Concept of Conditional Expectation	p. 152
Characteristic Functions
Introduction	p. 154
Examples	p. 158
Properties of Characteristic Functions	p. 166
The Central Limit Theorem	p. 169
Infinite Sequences of Random Variables
Introduction	p. 178
The Gambler's Ruin Problem	p. 182
Combinatorial Approach to the Random Walk; the Reflection Principle	p. 186
Generating Functions	p. 191
The Poisson Random Process	p. 196
The Strong Law of Large Numbers	p. 203
Markov Chains
Introduction	p. 211
Stopping Times and the Strong Markov Property	p. 217
Classification of States	p. 220
Limiting Probabilities	p. 230
Stationary and Steady-State Distributions	p. 236
Introduction to Statistics
Statistical Decisions	p. 241
Hypothesis Testing	p. 243
Estimation	p. 258
Sufficient Statistics	p. 264
Unbiased Estimates Based on a Complete Sufficient Statistic	p. 268
Sampling from a Normal Population	p. 274
The Multidimensional Gaussian Distribution	p. 279
Tables	p. 286
A Brief Bibliography	p. 289
Solutions to Problems	p. 290
Index	p. 333
Table of Contents provided by Ingram. All Rights Reserved.

Basic Probability Theory

At a Glance

Paperback

Shipping

How to return your order

Defective items

You Can Find This Book In

More in Mathematics

Numeracy in Early Childhood

Shared Contexts For Teaching And Learning

How to Win At Chess

The Ultimate Guide for Beginners and Beyond

Humble Pi

A Comedy of Maths Errors

A Little History of Mathematics

Little Histories

The Golden Ratio

Divine Beauty of Mathematics

Primary Mathematics

4th Edition - Integrating Theory with Practice

Statistics and Data Handling for Biologists

A Student's Guide

Statistics and Data Handling for Biologists

A Student's Guide

The Score

How to Stop Playing Someone Else's Game

Stochastic Control in Energy, Environmental and Resource Management Applications

Emerging Methodologies and Applications in Modelling, Identification and Control

Dynamics of Marine Structures

Mathematics of Uncertainty Applied to Global Issues

Sustainability, Mistreatment of Women, Nuclear Power, Smart Cities, Digitalization

Data Science and Social Research III

Epistemology, Methods, Technology, Applications, and Relation to Artificial Intelligence

Antifragile

Things That Gain from Disorder

Recent Advances in Information Systems

Proceedings of the ICRAIS, Pointe aux Piments, Mauritius, 10-12 September 2025

Calculus

9th edition - Early Transcendentals, Metric

Second Grade Math with Confidence Bundle

Math with Confidence

Modal Semirings and Applications

Trends in Logic

Infinite Game

From the bestselling author of Start With Why

Discrete Mathematics with Applications, Metric Edition

5th edition

Oxford Maths for Australian Schools Year 6 Practice and Mastery Book

3rd Edition

Oxford Maths for Australian Schools Year 4 Value Pack

3rd Edition

The Black Swan

The Impact of the Highly Improbable

Precalculus

8th Edition - Mathematics for Calculus, International Metric Edition

This product is categorised by