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Probability (Springer Texts in - Hardcover, by Pitman Jim - Acceptable n

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Item specifics

Condition
Acceptable: A book with obvious wear. May have some damage to the cover but integrity still intact. ...
Book Title
Probability (Springer Texts in Statistics)
ISBN
9780387979748
Publication Name
Probability
Item Length
9.2in
Publisher
Springer New York
Series
Springer Texts in Statistics Ser.
Publication Year
1999
Type
Textbook
Format
Hardcover
Language
English
Item Height
0.6in
Author
Jim Pitman
Item Width
8in
Item Weight
46.9 Oz
Number of Pages
Xi, 560 Pages

About this product

Product Information

Preface to the Instructor This is a text for a one-quarter or one-semester course in probability, aimed at stu­ dents who have done a year of calculus. The book is organized so a student can learn the fundamental ideas of probability from the first three chapters without reliance on calculus. Later chapters develop these ideas further using calculus tools. The book contains more than the usual number of examples worked out in detail. It is not possible to go through all these examples in class. Rather, I suggest that you deal quickly with the main points of theory, then spend class time on problems from the exercises, or your own favorite problems. The most valuable thing for students to learn from a course like this is how to pick up a probability problem in a new setting and relate it to the standard body of theory. The more they see this happen in class, and the more they do it themselves in exercises, the better. The style of the text is deliberately informal. My experience is that students learn more from intuitive explanations, diagrams, and examples than they do from theo­ rems and proofs. So the emphasis is on problem solving rather than theory.

Product Identifiers

Publisher
Springer New York
ISBN-10
0387979743
ISBN-13
9780387979748
eBay Product ID (ePID)
1058225

Product Key Features

Author
Jim Pitman
Publication Name
Probability
Format
Hardcover
Language
English
Series
Springer Texts in Statistics Ser.
Publication Year
1999
Type
Textbook
Number of Pages
Xi, 560 Pages

Dimensions

Item Length
9.2in
Item Height
0.6in
Item Width
8in
Item Weight
46.9 Oz

Additional Product Features

Number of Volumes
1 Vol.
Lc Classification Number
Qa273.A1-274.9
Table of Content
1 Introduction.- 1.1 Equally Likely Outcomes.- 1.2 Interpretations.- 1.3 Distributions.- 1.4 Conditional Probability and Independence.- 1.5 Bayes' Rule.- 1.6 Sequences of Events.- Summary.- Review Exercises.- 2 Repeated Trials and Sampling.- 2.1 The Binomial Distribution.- 2.2 Normal Approximation: Method.- 2.3 Normal Approximation: Derivation (Optional).- 2.4 Poisson Approximation.- 2.5 Random Sampling.- Summary.- Review Exercises.- 3 Random Variables.- 3.1 Introduction.- 3.2 Expectation.- 3.3 Standard Deviation and Normal Approximation.- 3.4 Discrete Distributions.- 3.5 The Poisson Distribution.- 3.6 Symmetry (Optional).- Summary.- Review Exercises.- 4 Continuous Distributions.- 4.1 Probability Densities.- 4.2 Exponential and Gamma Distributions.- 4.3 Hazard Rates (Optional).- 4.4 Change of Variable.- 4.5 Cumulative Distribution Functions.- 4.6 Order Statistics (Optional).- Summary.- Review Exercises.- 5 Continuous Joint Distributions.- 5.1 Uniform Distributions.- 5.2 Densities.- 5.3Independent Normal Variables.- 5.4 Operations (Optional).- Summary.- Review Exercises.- 6 Dependence.- 6.1 Conditional Distributions: Discrete Case.- 6.2 Conditional Expectation: Discrete Case.- 6.3 Conditioning: Density Case.- 6.4 Covariance and Correlation.- 6.5 Bivariate Normal.- Summary.- Review Exercises.- Distribution Summaries.- Discrete.- Continuous.- Beta.- Binomial.- Exponential.- Gamma.- Geometric and Negative Binomial.- Hypergeometrie.- Normal.- Poisson.- Uniform.- Examinations.- Solutions to Examinations.- Appendices.- 1 Counting.- 2 Sums.- 3 Calculus.- 4 Exponents and Logarithms.- 5 Normal Table.- Brief Solutions to Odd-Numbered Exercises.
Copyright Date
1993
Topic
Probability & Statistics / General
Lccn
92-039051
Intended Audience
Scholarly & Professional
Illustrated
Yes
Genre
Mathematics

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