Probability: The Science of Uncertainty- with Applications to Investments, Insurance, and Engineering
Bean,Michael A.
Probability: The Science of Uncertainty- with Applications to Investments, Insurance, and Engineering - Australia ; Pacific Grove, CA : Brooks/Cole, ©2001. - xiii, 448 pages : illustrations ; - Brooks/Cole series in advanced mathmatics. .
Includes index.
What Is Probability? --
How Is Uncertainty Quantified? --
Probability in Engineering and the Sciences --
What Is Actuarial Science? --
What Is Financial Engineering? --
Interpretations of Probability --
Probability Modeling in Practice --
Outline of This Book --
A Survey of Some Basic Concepts Through Examples --
Payoff in a Simple Game --
Choosing Between Payoffs --
Future Lifetimes --
Simple and Compound Growth --
Classical Probability --
The Formal Language of Classical Probability --
Conditional Probability --
The Law of Total Probability --
Bayes' Theorem --
Appendix on Sets, Combinatorics, and Basic Probability Rules --
Random Variables and Probability Distributions --
Definitions and Basic Properties --
What Is a Random Variable? --
What Is a Probability Distribution? --
Types of Distributions --
Probability Mass Functions --
Probability Density Functions --
Mixed Distributions --
Equality and Equivalence of Random Variables --
Random Vectors and Bivariate Distributions --
Dependence and Independence of Random Variables --
The Law of Total Probability and Bayes' Theorem (Distributional Forms) --
Arithmetic Operations on Random Variables --
The Difference Between Sums and Mixtures --
Statistical Measures of Expectation, Variation, and Risk --
Expectation --
Deviation from Expectation --
Higher Moments --
Alternative Ways of Specifying Probability Distributions --
Moment and Cumulant Generating Functions --
Survival and Hazard Functions --
Appendix on Generalized Density Functions (Optional) --
Special Discrete Distributions.
This textbook for a one-semester course in probability covers combinatorial probability theory based on sets and counting, random variables and probability distribution, special discrete and continuous distributions, and transformations of random variables. A separate chapter provides four extended examples that apply many of the key concepts. Anno
9780534366032 0534366031
Probabilities.
519.2 / BEA
Probability: The Science of Uncertainty- with Applications to Investments, Insurance, and Engineering - Australia ; Pacific Grove, CA : Brooks/Cole, ©2001. - xiii, 448 pages : illustrations ; - Brooks/Cole series in advanced mathmatics. .
Includes index.
What Is Probability? --
How Is Uncertainty Quantified? --
Probability in Engineering and the Sciences --
What Is Actuarial Science? --
What Is Financial Engineering? --
Interpretations of Probability --
Probability Modeling in Practice --
Outline of This Book --
A Survey of Some Basic Concepts Through Examples --
Payoff in a Simple Game --
Choosing Between Payoffs --
Future Lifetimes --
Simple and Compound Growth --
Classical Probability --
The Formal Language of Classical Probability --
Conditional Probability --
The Law of Total Probability --
Bayes' Theorem --
Appendix on Sets, Combinatorics, and Basic Probability Rules --
Random Variables and Probability Distributions --
Definitions and Basic Properties --
What Is a Random Variable? --
What Is a Probability Distribution? --
Types of Distributions --
Probability Mass Functions --
Probability Density Functions --
Mixed Distributions --
Equality and Equivalence of Random Variables --
Random Vectors and Bivariate Distributions --
Dependence and Independence of Random Variables --
The Law of Total Probability and Bayes' Theorem (Distributional Forms) --
Arithmetic Operations on Random Variables --
The Difference Between Sums and Mixtures --
Statistical Measures of Expectation, Variation, and Risk --
Expectation --
Deviation from Expectation --
Higher Moments --
Alternative Ways of Specifying Probability Distributions --
Moment and Cumulant Generating Functions --
Survival and Hazard Functions --
Appendix on Generalized Density Functions (Optional) --
Special Discrete Distributions.
This textbook for a one-semester course in probability covers combinatorial probability theory based on sets and counting, random variables and probability distribution, special discrete and continuous distributions, and transformations of random variables. A separate chapter provides four extended examples that apply many of the key concepts. Anno
9780534366032 0534366031
Probabilities.
519.2 / BEA