Probability and random variables
by Beaumont, G. P., (Geoffrey P.)
This undergraduate text distils the wisdom of an experienced teacher and yields, to the mutual advantage of students and their instructors, a sound and stimulating introduction to probability theory. The accent is on its essential role in statistical theory and practice, built on the use of illustrative examples and the solution of problems from typical examination papers. Mathematically-friendly for first and second year undergraduate students, the book is also a reference source for workers i…
Read More ↓Title Statements
- Full title :Probability and random variables / G.P. Beaumont.
Summary
This undergraduate text distils the wisdom of an experienced teacher and yields, to the mutual advantage of students and their instructors, a sound and stimulating introduction to probability theory. The accent is on its essential role in statistical theory and practice, built on the use of illustrative examples and the solution of problems from typical examination papers. Mathematically-friendly for first and second year undergraduate students, the book is also a reference source for workers in a wide range of disciplines who are aware that even the simpler aspects of probability theory are not simple. Provides a sound and stimulating introduction to probability theoryPlaces emphasis on the role of probability theory in statistical theory and practice, built on the use of illustrative examples and the solution of problems from typical examination papers.
Read More ↓Edition Statements
- Publication Date:2005.
Publication Statements
- Publisher(s):Ellis Horwood
- Place of Publication:Chichester, West Sussex England
- Language:eng
- Publication Date:2005.
Notes
"Republished, with corrections, in 2005"--Title page verso
Includes index.
The Physical Object
- Description:1 online resource (345 pages) : : illustrations
Edition Identifiers
- ISBN:9780857099471, 0857099477
- oclc:ocn869282216
- LC Classification:QA273
- Dewey Decimal:519.2
Table of Contents
Cover; PROBABILITY AND RANDOM VARIABLES; Copyright; Contents; Preface; Acknowledgements; 1 Introduction; 2 Probability; 2.1 AXIOMATIC APPROACH; 2.2 SAMPLE SPACE; 2.3 COMBINATION OF EVENTS; 2.4 VENN DIAGRAMS; 2.5 AXIOMS FOR PROBABILITIES FOR A SAMPLE SPACE WITH A FINITE NUMBER OF POINTS; 2.6 SETS AND EVENTS; 2.7 COUNTING METHODS; 2.8 PERMUTATIONS; 2.9 COMBINATIONS; 2.10 ARRANGEMENTS IN A ROW; 2.11 RANDOM SAMPLING; 2.12 COMBINATORIAL IDENTITIES; 2.13 THE QUANTITIES (n r) AND THE BINOMIAL THEOREM; 2.14 MULTINOMIAL EXPANSION; 2.15 RUNS; REFERENCE; BRIEF SOLUTIONS AND COMMENTS ON THE PROBLEMS
3 Conditional Probability and Independence3.1 INTRODUCTION; 3.2 EVALUATING PROBABILITIES; 3.3 APPLICATIONS; 3.4 CONDITIONAL PROBABILITIES; 3.5 INDEPENDENT EVENTS; 3.6 SAMPLING WITH REPLACEMENT; 3.7 THE PROBABILITY OF AT LEAST ONE EVENT; 3.8 INFINITE SEQUENCE OF INDEPENDENT TRIALS; REFERENCE; BRIEF SOLUTIONS AND COMMENTS ON THE PROBLEMS; 4 Random Variables; 4.1 INFINITE SAMPLE SPACES; 4.2 RANDOM VARIABLES; 4.3 DISCRETE AND CONTINUOUS RANDOM VARIABLES; 4.4 THE BERNOULLI DISTRIBUTION; 4.5 THE BINOMIAL DISTRIBUTION; 4.6 THE HYPERGEOMETRIC DISTRIBUTION; 4.7 THE GEOMETRIC DISTRIBUTION
4.8 THE NEGATIVE…
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