Decision Theory
Home > Mathematics and Science Textbooks > Mathematics > Probability and statistics > Decision Theory: Principles and Approaches(812 Wiley Series in Probability and Statistics)
Decision Theory: Principles and Approaches(812 Wiley Series in Probability and Statistics)

Decision Theory: Principles and Approaches(812 Wiley Series in Probability and Statistics)


     0     
5
4
3
2
1



Out of Stock


Notify me when this book is in stock
X
About the Book

Table of Contents:
Preface. Acknowledgments. 1 Introduction. 1.1 Controversies. 1.2 A guided tour of decision theory. Part One: Foundations. 2 Coherence. 2.1 The "Dutch Book" theorem. 2.2 Temporal coherence. 2.3 Scoring rules and the axioms of probabilities. 2.4 Exercises. 3 Utility. 3.1 St. Petersburg paradox. 3.2 Expected utility theory and the theory of means. 3.3 The expected utility principle. 3.4 The von Neumann-Morgenstern representation theorem. 3.5 Allais' criticism. 3.6 Extensions. 3.7 Exercises. 4 Utility in action. 4.1 The "standard gamble". 4.2 Utility of money. 4.3 Utility functions for medical decisions. 4.4 Exercises. 5 Ramsey and Savage. 5.1 Ramsey's theory. 5.2 Savage's theory. 5.3 Allais revisited. 5.4 Ellsberg paradox. 5.5 Exercises. 6 State independence. 6.1 Horse lotteries. 6.2 State-dependent utilities. 6.3 State-independent utilities. 6.4 Anscombe-Aumann representation theorem. 6.5 Exercises. Part Two Statistical Decision Theory. 7 Decision functions. 7.1 Basic concepts. 7.2 Data-based decisions. 7.3 The travel insurance example. 7.4 Randomized decision rules. 7.5 Classification and hypothesis tests. 7.6 Estimation. 7.7 Minimax-Bayes connections. 7.8 Exercises. 8 Admissibility. 8.1 Admissibility and completeness. 8.2 Admissibility and minimax. 8.3 Admissibility and Bayes. 8.4 Complete classes. 8.5 Using the same ? level across studies with different sample sizes is inadmissible. 8.6 Exercises. 9 Shrinkage. 9.1 The Stein effect. 9.2 Geometric and empirical Bayes heuristics. 9.3 General shrinkage functions. 9.4 Shrinkage with different likelihood and losses. 9.5 Exercises. 10 Scoring rules. 10.1 Betting and forecasting. 10.2 Scoring rules. 10.3 Local scoring rules. 10.4 Calibration and refinement. 10.5 Exercises. 11 Choosing models. 11.1 The "true model" perspective. 11.2 Model elaborations. 11.3 Exercises. Part Three Optimal Design. 12 Dynamic programming. 12.1 History. 12.2 The travel insurance example revisited. 12.3 Dynamic programming. 12.4 Trading off immediate gains and information. 12.5 Sequential clinical trials. 12.6 Variable selection in multiple regression. 12.7 Computing. 12.8 Exercises. 13 Changes in utility as information. 13.1 Measuring the value of information. 13.2 Examples. 13.3 Lindley information. 13.4 Minimax and the value of information. 13.5 Exercises. 14 Sample size. 14.1 Decision-theoretic approaches to sample size. 14.2 Computing. 14.3 Examples. 14.4 Exercises. 15 Stopping. 15.1 Historical note. 15.2 A motivating example. 15.3 Bayesian optimal stopping. 15.4 Examples. 15.5 Sequential sampling to reduce uncertainty. 15.6 The stopping rule principle. 15.7 Exercises. Appendix. A.1 Notation. A.2 Relations. A.3 Probability (density) functions of some distributions. A.4 Conjugate updating. References. Index.

About the Author :
Giovanni Parmigiani is the author of Decision Theory: Principles and Approaches, published by Wiley. Lurdes Yoshiko Tani Inoue is a Brazilian-born statistician of Japanese descent, who specializes in Bayesian inference. She works as a professor of biostatistics in the University of Washington School of Public Health.

Review :
“Also anyone interested in learning more about decision theoretic experimental design (a topic of growing interest for example in sequential clinical trials) will find a useful overview and a good starting point for further investigations.”  (Stat Papers, 2011)   "Decision theory is fundamental to all scientific disciplines., including biostatistics, computer science, economics and engineering. Anyone interested in the whys and wherefores of statistical science will find much to enjoy in this book." (Mathematical Reviews, 2011)


Best Sellers


Product Details
  • ISBN-13: 9780470746677
  • Publisher: John Wiley & Sons Inc
  • Publisher Imprint: John Wiley & Sons Inc
  • Language: English
  • Series Title: 812 Wiley Series in Probability and Statistics
  • ISBN-10: 047074667X
  • Publisher Date: 15 Apr 2009
  • Binding: Digital (delivered electronically)
  • No of Pages: 408
  • Sub Title: Principles and Approaches


Similar Products

Add Photo
Add Photo

Customer Reviews

REVIEWS      0     
Click Here To Be The First to Review this Product
Decision Theory: Principles and Approaches(812 Wiley Series in Probability and Statistics)
John Wiley & Sons Inc -
Decision Theory: Principles and Approaches(812 Wiley Series in Probability and Statistics)
Writing guidlines
We want to publish your review, so please:
  • keep your review on the product. Review's that defame author's character will be rejected.
  • Keep your review focused on the product.
  • Avoid writing about customer service. contact us instead if you have issue requiring immediate attention.
  • Refrain from mentioning competitors or the specific price you paid for the product.
  • Do not include any personally identifiable information, such as full names.

Decision Theory: Principles and Approaches(812 Wiley Series in Probability and Statistics)

Required fields are marked with *

Review Title*
Review
    Add Photo Add up to 6 photos
    Would you recommend this product to a friend?
    Tag this Book Read more
    Does your review contain spoilers?
    What type of reader best describes you?
    I agree to the terms & conditions
    You may receive emails regarding this submission. Any emails will include the ability to opt-out of future communications.

    CUSTOMER RATINGS AND REVIEWS AND QUESTIONS AND ANSWERS TERMS OF USE

    These Terms of Use govern your conduct associated with the Customer Ratings and Reviews and/or Questions and Answers service offered by Bookswagon (the "CRR Service").


    By submitting any content to Bookswagon, you guarantee that:
    • You are the sole author and owner of the intellectual property rights in the content;
    • All "moral rights" that you may have in such content have been voluntarily waived by you;
    • All content that you post is accurate;
    • You are at least 13 years old;
    • Use of the content you supply does not violate these Terms of Use and will not cause injury to any person or entity.
    You further agree that you may not submit any content:
    • That is known by you to be false, inaccurate or misleading;
    • That infringes any third party's copyright, patent, trademark, trade secret or other proprietary rights or rights of publicity or privacy;
    • That violates any law, statute, ordinance or regulation (including, but not limited to, those governing, consumer protection, unfair competition, anti-discrimination or false advertising);
    • That is, or may reasonably be considered to be, defamatory, libelous, hateful, racially or religiously biased or offensive, unlawfully threatening or unlawfully harassing to any individual, partnership or corporation;
    • For which you were compensated or granted any consideration by any unapproved third party;
    • That includes any information that references other websites, addresses, email addresses, contact information or phone numbers;
    • That contains any computer viruses, worms or other potentially damaging computer programs or files.
    You agree to indemnify and hold Bookswagon (and its officers, directors, agents, subsidiaries, joint ventures, employees and third-party service providers, including but not limited to Bazaarvoice, Inc.), harmless from all claims, demands, and damages (actual and consequential) of every kind and nature, known and unknown including reasonable attorneys' fees, arising out of a breach of your representations and warranties set forth above, or your violation of any law or the rights of a third party.


    For any content that you submit, you grant Bookswagon a perpetual, irrevocable, royalty-free, transferable right and license to use, copy, modify, delete in its entirety, adapt, publish, translate, create derivative works from and/or sell, transfer, and/or distribute such content and/or incorporate such content into any form, medium or technology throughout the world without compensation to you. Additionally,  Bookswagon may transfer or share any personal information that you submit with its third-party service providers, including but not limited to Bazaarvoice, Inc. in accordance with  Privacy Policy


    All content that you submit may be used at Bookswagon's sole discretion. Bookswagon reserves the right to change, condense, withhold publication, remove or delete any content on Bookswagon's website that Bookswagon deems, in its sole discretion, to violate the content guidelines or any other provision of these Terms of Use.  Bookswagon does not guarantee that you will have any recourse through Bookswagon to edit or delete any content you have submitted. Ratings and written comments are generally posted within two to four business days. However, Bookswagon reserves the right to remove or to refuse to post any submission to the extent authorized by law. You acknowledge that you, not Bookswagon, are responsible for the contents of your submission. None of the content that you submit shall be subject to any obligation of confidence on the part of Bookswagon, its agents, subsidiaries, affiliates, partners or third party service providers (including but not limited to Bazaarvoice, Inc.)and their respective directors, officers and employees.

    Accept

    New Arrivals


    Inspired by your browsing history


    Your review has been submitted!

    You've already reviewed this product!