Volume: 6; 2001; 448 pp; Hardcover
MSC: Primary 60;
Print ISBN: 978-0-8218-4792-3
Product Code: AMSTEXT/6
List Price: $81.00
AMS Member Price: $64.80
MAA Member Price: $72.90
Electronic ISBN: 978-1-4704-1119-0
Product Code: AMSTEXT/6.E
List Price: $76.00
AMS Member Price: $60.80
MAA Member Price: $68.40
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Probability: The Science of Uncertainty: with Applications to Investments, Insurance, and Engineering
Share this pageMichael A. Bean
This book covers the basic probability of distributions with an emphasis
on applications from the areas of investments, insurance, and engineering.
Written by a Fellow of the Casualty Actuarial Society and the Society of
Actuaries with many years of experience as a university professor and
industry practitioner, the book is suitable as a text for senior
undergraduate and beginning graduate students in mathematics, statistics,
actuarial science, finance, or engineering as well as a reference for
practitioners in these fields. The book is particularly well suited for
students preparing for professional exams, and for several years it has
been recommended as a textbook on the syllabus of examinations for the
Casualty Actuarial Society and the Society of Actuaries.
In addition to covering the standard topics and probability distributions,
this book includes separate sections on more specialized topics such as
mixtures and compound distributions, distributions of transformations, and
the application of specialized distributions such as the Pareto, beta, and
Weibull. The book also has a number of unique features such as a detailed
description of the celebrated Markowitz investment portfolio selection
model. A separate section contains information on how graphs of the
specific distributions studied in the book can be created using
Mathematica™.
The book includes a large number of problems of varying difficulty. A
student manual with solutions to selected problems is available electronically
from the "Solutions Manual" link above.
An instructor's manual for this title is available electronically. Please
send email to textbooks@ams.org for more
information.
Readership
Undergraduate and graduate students in mathematics, finance, or engineering interested in probability and its applications.
Table of Contents
Table of Contents
Probability: The Science of Uncertainty: with Applications to Investments, Insurance, and Engineering
- Cover Cover11 free
- Title page i2 free
- Preface v6 free
- Contents ix10 free
- 1. Introduction 116 free
- 2. A Survey of Some Basic Concepts Through Examples 1934
- 3. Classical Probability 5772
- 4. Random Variables and Probability Distributions 91106
- 5. Special Discrete Distributions 186201
- 6. Special Continuous Distributions 221236
- 7. Transformations of Random Variables 280295
- 8. Sums and Products of Random Variables 325340
- 9. Mixtures and Compound Distributions 363378
- 10. The Markowitz Investment Portfolio Selection Model 396411
- Appendixes. The Markowitz Investment Portfolio Selection Model 421436
- Answers to Selected Exercises 437452
- Index 441456
- Back Cover Back Cover1464