An essential guide to the concepts of probability theory that puts the focus on models and applications. Introduction to Probability offers an authoritative text that presents the main ideas and concepts, as well as the theoretical background, models, and applications of probability. The authors--noted experts in the field--include a review of problems where probabilistic models naturally arise, discuss the appropriate statistical methods, and explain how these models fit into the data presented. To aid in understanding, the book presents many real-world exercises and solutions that appear after each section within a chapter. A wide-range of topics are covered that include concepts of probability, univariate discrete distribution, univariate continuous distributions, bivariate discrete random variables, bivariate continuous random variables, stochastic independence-multivariate random variables, and many more. Designed as a useful guide, the text contains theory of probability, definitions, charts, examples, illustrations, problems and solutions, and a glossary. This important text:
• Includes classroom-tested problems and solutions to probability exercises
• Highlights real-world exercises designed to make clear the concepts presented
• Uses Matlab software to illustrate the text’s computer exercises
• Features applications representing worldwide situations and processes
• Offers a Student Solutions Manual that contains select solutions to numerous exercises found in the book
Written for students majoring in statistics, engineering, operations research, computer science, physics, and mathematics, Introduction to Probability: Models and Applications is an accessible text that explores the basic concepts of probability and includes detailed information on models and applications.
Author(s): N. Balakrishnan, Markos V. Koutras, Konstadinos G. Politis
Series: Wiley Series In Probability And Statistics
Publisher: Wiley-Blackwell
Year: 2020
Language: English
Pages: 617
Tags: Probabilities: Textbooks, Mathematics: Applied, Mathematics: Probability & Statistics: General
Cover
......Page 1
WILEY SERIES IN PROBABILITY AND STATISTICS......Page 3
INTRODUCTION TO PROBABILITY:
Models and Applications......Page 4
© 2020......Page 5
Dedication
......Page 6
CONTENTS......Page 7
PREFACE......Page 11
1 THE CONCEPT OF PROBABILITY......Page 14
2 FINITE SAMPLE SPACES –
COMBINATORIAL METHODS......Page 91
3 CONDITIONAL PROBABILITY –
INDEPENDENT EVENTS......Page 165
4 DISCRETE RANDOM VARIABLES AND
DISTRIBUTIONS......Page 236
5 SOME IMPORTANT DISCRETE
DISTRIBUTIONS......Page 332
6 CONTINUOUS RANDOM VARIABLES......Page 426
7 SOME IMPORTANT CONTINUOUS
DISTRIBUTIONS......Page 502
APPENDIX A.
SUMS AND PRODUCTS......Page 590
APPENDIX B.
DISTRIBUTION FUNCTION OF THE
STANDARD NORMAL DISTRIBUTION......Page 604
APPENDIX C.
SIMULATION......Page 606
APPENDIX D.
DISCRETE AND CONTINUOUS
DISTRIBUTIONS......Page 609
BIBLIOGRAPHY......Page 612
Index......Page 614