Bayes Theory

Paperback (Softcover reprint of the original 1st ed. 1983)
$95.46
BN.com price
(Save 19%)$119.00 List Price
Other sellers (Paperback)
  • All (5) from $79.70   
  • New (4) from $79.70   
  • Used (1) from $184.99   
Sending request ...

Editorial Reviews

From the Publisher
"Hartigan provides a carefully referenced discussion that contains both supporting concepts as well as a presentation of Bayes theory."
(Choice)
Read More Show Less

Product Details

  • ISBN-13: 9781461382447
  • Publisher: Springer New York
  • Publication date: 7/31/2012
  • Series: Springer Series in Statistics
  • Edition description: Softcover reprint of the original 1st ed. 1983
  • Edition number: 1
  • Pages: 160
  • Product dimensions: 6.14 (w) x 9.21 (h) x 0.34 (d)

Table of Contents

1 Theories of Probability.- 1.0. Introduction.- 1.1. Logical Theories: Laplace.- 1.2. Logical Theories: Keynes and Jeffreys.- 1.3. Empirical Theories: Von Mises.- 1.4. Empirical Theories: Kolmogorov.- 1.5. Empirical Theories: Falsifiable Models.- 1.6. Subjective Theories: De Finetti.- 1.7. Subjective Theories: Good.- 1.8. All the Probabilities.- 1.9. Infinite Axioms.- 1.10. Probability and Similarity.- 1.11. References.- 2 Axioms.- 2.0. Notation.- 2.1. Probability Axioms.- 2.2. Prespaces and Rings.- 2.3. Random Variables.- 2.4. Probable Bets.- 2.5. Comparative Probability.- 2.6. Problems.- 2.7. References.- 3 Conditional Probability.- 3.0. Introduction.- 3.1. Axioms of Conditional Probability.- 3.2. Product Probabilities.- 3.3. Quotient Probabilities.- 3.4. Marginalization Paradoxes.- 3.5. Bayes Theorem.- 3.6. Binomial Conditional Probability.- 3.7. Problems.- 3.8. References.- 4 Convergence.- 4.0. Introduction.- 4.1. Convergence Definitions.- 4.2. Mean Convergence of Conditional Probabilities.- 4.3. Almost Sure Convergence of Conditional Probabilities.- 4.4. Consistency of Posterior Distributions.- 4.5. Binomial Case.- 4.6. Exchangeable Sequences.- 4.7. Problems.- 4.8. References.- 5 Making Probabilities.- 5.0. Introduction.- 5.1. Information.- 5.2. Maximal Learning Probabilities.- 5.3. Invariance.- 5.4. The Jeffreys Density.- 5.5. Similarity Probability.- 5.6. Problems.- 5.7. References.- 6 Decision Theory.- 6.0. Introduction.- 6.1. Admissible Decisions.- 6.2. Conditional Bayes Decisions.- 6.3. Admissibility of Bayes Decisions.- 6.4. Variations on the Definition of Admissibility.- 6.5. Problems.- 6.6. References.- 7 Uniformity Criteria for Selecting Decisions.- 7.0. Introduction.- 7.1. Bayes Estimates Are Biased or Exact.- 7.2. Unbiased Location Estimates.- 7.3. Unbiased Bayes Tests.- 7.4. Confidence Regions.- 7.5. One-Sided Confidence Intervals Are Not Unitary Bayes.- 7.6. Conditional Bets.- 7.7. Problems.- 7.8. References.- 8 Exponential Families.- 8.0. Introduction.- 8.1. Examples of Exponential Families.- 8.2. Prior Distributions for the Exponential Family.- 8.3. Normal Location.- 8.4. Binomial.- 8.5. Poisson.- 8.6. Normal Location and Scale.- 8.7. Problems.- 8.8. References.- 9 Many Normal Means.- 9.0. Introduction.- 9.1. Baranchik’s Theorem.- 9.2. Bayes Estimates Beating the Straight Estimate.- 9.3. Shrinking towards the Mean.- 9.4. A Random Sample of Means.- 9.5. When Most of the Means Are Small.- 9.6. Multivariate Means.- 9.7. Regression.- 9.8. Many Means, Unknown Variance.- 9.9. Variance Components, One Way Analysis of Variance.- 9.10. Problems.- 9.11. References.- 10 The Multinomial Distribution.- 10.0. Introduction.- 10.1. Dirichlet Priors.- 10.2. Admissibility of Maximum Likelihood, Multinomial Case.- 10.3. Inadmissibility of Maximum Likelihood, Poisson Case.- 10.4. Selection of Dirichlet Priors.- 10.5. Two Stage Poisson Models.- 10.6. Multinomials with Clusters.- 10.7. Multinomials with Similarities.- 10.8. Contingency Tables.- 10.9. Problems.- 10.10. References.- 11 Asymptotic Normality of Posterior Distributions.- 11.0. Introduction.- 11.1. A Crude Demonstration of Asymptotic Normality.- 11.2. Regularity Conditions for Asymptotic Normality.- 11.3. Pointwise Asymptotic Normality.- 11.4. Asymptotic Normality of Martingale Sequences.- 11.5. Higher Order Approximations to Posterior Densities.- 11.6. Problems.- 11.7. References.- 12 Robustness of Bayes Methods.- 12.0. Introduction.- 12.1. Intervals of Probabilities.- 12.2. Intervals of Means.- 12.3. Intervals of Risk.- 12.4. Posterior Variances.- 12.5. Intervals of Posterior Probabilities.- 12.6. Asymptotic Behavior of Posterior Intervals.- 12.7. Asymptotic Intervals under Asymptotic Normality.- 12.8. A More General Range of Probabilities.- 12.9. Problems.- 12.10. References.- 13 Nonparametric Bayes Procedures.- 13.0. Introduction.- 13.1. The Dirichlet Process.- 13.2 The Dirichlet Process on (0, 1).- 13.3. Bayes Theorem for a Dirichlet Process.- 13.4. The Empirical Process.- 13.5. Subsample Methods.- 13.6. The Tolerance Process.- 13.7. Problems.- 13.8. References.- Author Index.
Read More Show Less

Customer Reviews

Be the first to write a review
( 0 )
Rating Distribution

5 Star

(0)

4 Star

(0)

3 Star

(0)

2 Star

(0)

1 Star

(0)

Your Rating:

Your Name: Create a Pen Name or

Barnes & Noble.com Review Rules

Our reader reviews allow you to share your comments on titles you liked, or didn't, with others. By submitting an online review, you are representing to Barnes & Noble.com that all information contained in your review is original and accurate in all respects, and that the submission of such content by you and the posting of such content by Barnes & Noble.com does not and will not violate the rights of any third party. Please follow the rules below to help ensure that your review can be posted.

Reviews by Our Customers Under the Age of 13

We highly value and respect everyone's opinion concerning the titles we offer. However, we cannot allow persons under the age of 13 to have accounts at BN.com or to post customer reviews. Please see our Terms of Use for more details.

What to exclude from your review:

Please do not write about reviews, commentary, or information posted on the product page. If you see any errors in the information on the product page, please send us an email.

Reviews should not contain any of the following:

  • - HTML tags, profanity, obscenities, vulgarities, or comments that defame anyone
  • - Time-sensitive information such as tour dates, signings, lectures, etc.
  • - Single-word reviews. Other people will read your review to discover why you liked or didn't like the title. Be descriptive.
  • - Comments focusing on the author or that may ruin the ending for others
  • - Phone numbers, addresses, URLs
  • - Pricing and availability information or alternative ordering information
  • - Advertisements or commercial solicitation

Reminder:

  • - By submitting a review, you grant to Barnes & Noble.com and its sublicensees the royalty-free, perpetual, irrevocable right and license to use the review in accordance with the Barnes & Noble.com Terms of Use.
  • - Barnes & Noble.com reserves the right not to post any review -- particularly those that do not follow the terms and conditions of these Rules. Barnes & Noble.com also reserves the right to remove any review at any time without notice.
  • - See Terms of Use for other conditions and disclaimers.
Search for Products You'd Like to Recommend

Recommend other products that relate to your review. Just search for them below and share!

Create a Pen Name

Your Pen Name is your unique identity on BN.com. It will appear on the reviews you write and other website activities. Your Pen Name cannot be edited, changed or deleted once submitted.

 
Your Pen Name can be any combination of alphanumeric characters (plus - and _), and must be at least two characters long.

Continue Anonymously

    If you find inappropriate content, please report it to Barnes & Noble
    Why is this product inappropriate?
    Comments (optional)