| Hardcover ISBN: | 978-0-8218-4792-3 |
| Product Code: | AMSTEXT/6 |
| List Price: | $89.00 |
| MAA Member Price: | $80.10 |
| AMS Member Price: | $71.20 |
| eBook ISBN: | 978-1-4704-1119-0 |
| Product Code: | AMSTEXT/6.E |
| List Price: | $85.00 |
| MAA Member Price: | $76.50 |
| AMS Member Price: | $68.00 |
| Hardcover ISBN: | 978-0-8218-4792-3 |
| eBook: ISBN: | 978-1-4704-1119-0 |
| Product Code: | AMSTEXT/6.B |
| List Price: | $174.00 $131.50 |
| MAA Member Price: | $156.60 $118.35 |
| AMS Member Price: | $139.20 $105.20 |
| Hardcover ISBN: | 978-0-8218-4792-3 |
| Product Code: | AMSTEXT/6 |
| List Price: | $89.00 |
| MAA Member Price: | $80.10 |
| AMS Member Price: | $71.20 |
| eBook ISBN: | 978-1-4704-1119-0 |
| Product Code: | AMSTEXT/6.E |
| List Price: | $85.00 |
| MAA Member Price: | $76.50 |
| AMS Member Price: | $68.00 |
| Hardcover ISBN: | 978-0-8218-4792-3 |
| eBook ISBN: | 978-1-4704-1119-0 |
| Product Code: | AMSTEXT/6.B |
| List Price: | $174.00 $131.50 |
| MAA Member Price: | $156.60 $118.35 |
| AMS Member Price: | $139.20 $105.20 |
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Book DetailsPure and Applied Undergraduate TextsVolume: 6; 2001; 448 ppMSC: Primary 60;
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 MathematicaTM.
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.
Ancillaries:
ReadershipUndergraduate and graduate students in mathematics, finance, or engineering interested in probability and its applications.
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Table of Contents
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Cover
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Title page
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Preface
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Contents
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1. Introduction
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2. A Survey of Some Basic Concepts Through Examples
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3. Classical Probability
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4. Random Variables and Probability Distributions
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5. Special Discrete Distributions
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6. Special Continuous Distributions
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7. Transformations of Random Variables
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8. Sums and Products of Random Variables
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9. Mixtures and Compound Distributions
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10. The Markowitz Investment Portfolio Selection Model
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Appendixes. The Markowitz Investment Portfolio Selection Model
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Answers to Selected Exercises
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Index
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Back Cover
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Additional Material
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Reviews
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This book is one of several recommended by actuarial societies as a means of preparing for an actuarial exam in probability. It is clear, thorough, and pleasant to read. Even for non-actuarial students, the author's treatment of probability distributions and random variables is definitely worthwhile.
Bill Satzer, University of Minnesota
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RequestsReview Copy – for publishers of book reviewsDesk Copy – for instructors who have adopted an AMS textbook for a courseInstructor's Manual – for instructors who have adopted an AMS textbook for a course and need the instructor's manualExamination Copy – for faculty considering an AMS textbook for a coursePermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Reviews
- Requests
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 MathematicaTM.
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.
Ancillaries:
Undergraduate and graduate students in mathematics, finance, or engineering interested in probability and its applications.
-
Cover
-
Title page
-
Preface
-
Contents
-
1. Introduction
-
2. A Survey of Some Basic Concepts Through Examples
-
3. Classical Probability
-
4. Random Variables and Probability Distributions
-
5. Special Discrete Distributions
-
6. Special Continuous Distributions
-
7. Transformations of Random Variables
-
8. Sums and Products of Random Variables
-
9. Mixtures and Compound Distributions
-
10. The Markowitz Investment Portfolio Selection Model
-
Appendixes. The Markowitz Investment Portfolio Selection Model
-
Answers to Selected Exercises
-
Index
-
Back Cover
-
This book is one of several recommended by actuarial societies as a means of preparing for an actuarial exam in probability. It is clear, thorough, and pleasant to read. Even for non-actuarial students, the author's treatment of probability distributions and random variables is definitely worthwhile.
Bill Satzer, University of Minnesota
