A Mathematical Theory of Evidence / / Glenn Shafer.
Both in science and in practical affairs we reason by combining facts only inconclusively supported by evidence. Building on an abstract understanding of this process of combination, this book constructs a new theory of epistemic probability. The theory draws on the work of A. P. Dempster but diverg...
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| Superior document: | Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Archive 1927-1999 |
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| Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2021] ©1976 |
| Year of Publication: | 2021 |
| Language: | English |
| Online Access: | |
| Physical Description: | 1 online resource (314 p.) |
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| 100 | 1 | |a Shafer, Glenn, |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 2 | |a A Mathematical Theory of Evidence / |c Glenn Shafer. |
| 264 | 1 | |a Princeton, NJ : |b Princeton University Press, |c [2021] | |
| 264 | 4 | |c ©1976 | |
| 300 | |a 1 online resource (314 p.) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 505 | 0 | 0 | |t Frontmatter -- |t FOREWORD -- |t PREFACE -- |t CONTENTS -- |t CHAPTER 1. INTRODUCTION -- |t CHAPTER 2. DEGREES OF BELIEF -- |t CHAPTER 3. DEMPSTER'S RULE OF COMBINATION -- |t CHAPTER 4. SIMPLE AND SEPARABLE SUPPORT FUNCTIONS -- |t CHAPTER 5. THE WEIGHTS OF EVIDENCE -- |t CHAPTER 6. COMPATIBLE FRAMES OF DISCERNMENT -- |t CHAPTER 7. SUPPORT FUNCTIONS -- |t CHAPTER 8. THE DISCERNMENT OF EVIDENCE -- |t CHAPTER 9. QUASI SUPPORT FUNCTIONS -- |t CHAPTER 10. CONSONANCE -- |t CHAPTER 11. STATISTICAL EVIDENCE -- |t CHAPTER 12. THE DUAL NATURE OF PROBABLE REASONING -- |t BIBLIOGRAPHY -- |t INDEX |
| 506 | 0 | |a restricted access |u http://purl.org/coar/access_right/c_16ec |f online access with authorization |2 star | |
| 520 | |a Both in science and in practical affairs we reason by combining facts only inconclusively supported by evidence. Building on an abstract understanding of this process of combination, this book constructs a new theory of epistemic probability. The theory draws on the work of A. P. Dempster but diverges from Depster's viewpoint by identifying his "lower probabilities" as epistemic probabilities and taking his rule for combining "upper and lower probabilities" as fundamental. The book opens with a critique of the well-known Bayesian theory of epistemic probability. It then proceeds to develop an alternative to the additive set functions and the rule of conditioning of the Bayesian theory: set functions that need only be what Choquet called "monotone of order of infinity." and Dempster's rule for combining such set functions. This rule, together with the idea of "weights of evidence," leads to both an extensive new theory and a better understanding of the Bayesian theory. The book concludes with a brief treatment of statistical inference and a discussion of the limitations of epistemic probability. Appendices contain mathematical proofs, which are relatively elementary and seldom depend on mathematics more advanced that the binomial theorem. | ||
| 538 | |a Mode of access: Internet via World Wide Web. | ||
| 546 | |a In English. | ||
| 588 | 0 | |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 30. Aug 2021) | |
| 650 | 0 | |a Evidence. | |
| 650 | 0 | |a Mathematical statistics. | |
| 650 | 0 | |a Probabilities. | |
| 650 | 7 | |a MATHEMATICS / History & Philosophy. |2 bisacsh | |
| 653 | |a Bayesian belief functions. | ||
| 653 | |a Granger, Thomas. | ||
| 653 | |a Hacking, Ian. | ||
| 653 | |a Jeffrey, Richard. | ||
| 653 | |a Keynes, John Maynard. | ||
| 653 | |a assessment of evidence. | ||
| 653 | |a chance density. | ||
| 653 | |a confidence sets. | ||
| 653 | |a decision theory. | ||
| 653 | |a degree of belief. | ||
| 653 | |a dissonance. | ||
| 653 | |a epistemology. | ||
| 653 | |a exponential function. | ||
| 653 | |a judgment and evidence. | ||
| 653 | |a likelihood. | ||
| 653 | |a linear models. | ||
| 653 | |a orthogonal sum. | ||
| 653 | |a plausibility. | ||
| 653 | |a proposition. | ||
| 653 | |a quasi support function. | ||
| 653 | |a scientific hypotheses. | ||
| 653 | |a statistical estimation. | ||
| 653 | |a test statistic. | ||
| 653 | |a upper probability. | ||
| 700 | 1 | |a Dempster, A. P., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
| 700 | 1 | |a Shafer, Glenn, |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t Princeton University Press eBook-Package Archive 1927-1999 |z 9783110442496 |
| 856 | 4 | 0 | |u https://doi.org/10.1515/9780691214696?locatt=mode:legacy |
| 856 | 4 | 0 | |u https://www.degruyter.com/isbn/9780691214696 |
| 856 | 4 | 2 | |3 Cover |u https://www.degruyter.com/cover/covers/9780691214696.jpg |
| 912 | |a 978-3-11-044249-6 Princeton University Press eBook-Package Archive 1927-1999 |c 1927 |d 1999 | ||
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