Course in Probability

ISBN-10: 0201774712
ISBN-13: 9780201774719
Edition: 2006
Authors: Neil A. Weiss
List price: $117.80 Buy it from $41.61
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Book details

List price: $117.80
Copyright year: 2006
Publisher: Addison Wesley
Publication date: 2/8/2005
Binding: Paperback
Pages: 816
Size: 7.75" wide x 9.75" long x 1.25" tall
Weight: 3.630

Fundamentals Of Probability
Probability Basics
Biography: Girolamo Cardano
From Percentages to Probabilities
Set Theory
Mathematical Probability
Biography: Andrei Kolmogorov
Sample Space and Events
Axioms of Probability
Specifying Probabilities
Basic Properties of Probability
Combinatorial Probability
Biography: James Bernoulli
The Basic Counting Rule
Permutations and Combinations
Applications of Counting Rules to Probability
Conditional Probability and Independence
Biography: Thomas Bayes
Conditional Probability
The General Multiplication Rule
Independent Events
Bayes' Rule
Discrete Random Variables
Discrete Random Variables and Their Distributions
Biography: Siméon-Dennis Poisson
From Variables to Random Variables
Probability Mass Functions
Binomial Random Variables
Hypergeometric Random Variables
Poisson Random Variables
Geometric Random Variables
Other Important Discrete Random Variables
Functions of a Discrete Random Variable
Jointly Discrete Random Variables
Biography: Blaise Pascal
Joint and Marginal Probability Mass Functions: Bivariate Case
Joint and Marginal Probability Mass Functions: Multivariate Case
Conditional Probability Mass Functions
Independent Random Variables
Functions of Two or More Discrete Random Variables
Sums of Discrete Random Variables
Expected Value of Discrete Random Variables
Biography: Christiaan Huygens
From Averages to Expected Values
Basic Properties of Expected Value
Variance of Discrete Random Variables
Variance, Covariance, and Correlation
Conditional Expectation
Continuous Random Variables
Continuous Random Variables and Their Distributions
Biography: Carl Friedrich Gauss
Introducing Continuous Random Variables
Cumulative Distribution Functions
Probability Density Functions
Uniform and Exponential Random Variables
Normal Random Variables
Other Important Continuous Random Variables
Functions of a Continuous Random Variable
Jointly Continuous Random Variables
Biography: Pierre de Fermat
Joint Cumulative Distribution Functions
Introducing Joint Probability Density Functions
Basic Properties of Joint Probability Density Functions
Marginal and Conditional Probability Density Functions
Independent Continuous Random Variables
Functions of Two or More Continuous Random Variables
Sums and Quotients of Continuous Random Variables
Multidimensional Transformation Theorem
Expected Value of Continuous Random Variables
Biography: Pafnuty Chebyshev
Expected Value of a Continuous Random Variable
Basic Properties of Expected Value
Variance, Covariance, and Correlation
Conditional Expectation
The Bivariate Normal Distribution
Limit Theorems and Advanced Topics
Generating Functions and Limit Theorems
Biography: William Feller
Moment Generating Functions
Joint Moment Generating Functions
Laws of Large Numbers
The Central Limit Theorem
Additional Topics
Biography: Sir Ronald Fisher
The Poisson Process
Basic Queueing Theory
The Multivariate Normal Distribution
Sampling Distributions
Appendices
Index

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