Probability

ISBN-10: 0387979743
ISBN-13: 9780387979748
Edition: 1993
Authors: Jim Pitman
List price: $109.00 Buy it from $34.88 Rent it from $21.49
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Description: This textbook is ideal for an undergraduate introduction to probability, with a calculus prerequisite. It is based on a course that the author has taught many times at Berkeley. The text's overall style is informal, but all results are stated  More...

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Book details

List price: $109.00
Copyright year: 1993
Publisher: Springer
Publication date: 6/1/1999
Binding: Hardcover
Pages: 560
Size: 8.50" wide x 9.75" long x 1.50" tall
Weight: 3.300
Language: English

This textbook is ideal for an undergraduate introduction to probability, with a calculus prerequisite. It is based on a course that the author has taught many times at Berkeley. The text's overall style is informal, but all results are stated precisely, and most are proved. Understanding is developed through intuitive explanations and examples. Graphs, diagrams, and geometrical ideals motivate results that might otherwise look likely purely formal manipulations.

Preface
Introduction
Equally Likely Outcomes
Interpretations
Distributions
Conditional Probability and Independence
Bayes' Rule
Sequences of Events
Summary
Review Exercises
Repeated Trials and Sampling
The Binomial Distribution
Normal Approximation: Method
Normal Approximation: Derivation (Optional)
Poisson Approximation
Random Sampling
Summary
Review Exercises
Random Variables
Introduction
Expectation
Standard Deviation and Normal Approximation
Discrete Distributions
The Poisson Distribution
Symmetry (Optional)
Summary
Review Exercises
Continuous Distributions
Probability Densities
Exponential and Gamma Distributions
Hazard Rates (Optional)
Change of Variable
Cumulative Distribution Functions
Order Statistics (Optional)
Summary
Review Exercises
Continuous Joint Distributions
Uniform Distributions
Densities
Independent Normal Variables
Operations (Optional)
Summary
Review Exercises
Dependence
Conditional Distributions: Discrete Case
Conditional Expectation: Discrete Case
Conditioning: Density Case
Covariance and Correlation
Bivariate Normal
Summary
Review Exercises
Distribution Summaries
Discrete
Continuous
Beta
Binomial
Exponential
Gamma
Geometric and Negative Binomial
Hypergeometric
Normal
Poisson
Uniform
Examinations
Solutions to Examinations
Appendices
Counting
Sums
Calculus
Exponents and Logarithms
Normal Table
Brief Solutions to Odd-Numbered Exercises
Index

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