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Lower previsions / Matthias C.M. Troffaes and Gert de Cooman.

By: Contributor(s): Material type: TextTextSeries: Wiley series in probability and statisticsPublication details: Chichester : John Wiley, c2014.Description: xvi, 415 p. ; 24 cmISBN:
  • 9780470723777 (cloth)
Subject(s): DDC classification:
  • 519.2 23 T843
Contents:
1. Preliminary notions and definitions -- 2. Introduction -- 3. Sets of acceptable bounded gambles -- 4. Lower previsions -- 5. Special coherent lower previsions -- 6. n-Monotone lower previsions -- 7. Special n-monotone coherent lower previsions -- 8. Linear previsions, integration and duality -- 9. Examples of linear extension -- 10. Lower previsions and symmetry -- 11. Extreme lower previsions -- 12. Introduction -- 13 Conditional lower previsions -- 14. Lower previsions for essentially bounded gambles -- 15. Lower previsions for previsible gambles -- Appendixes: A. Linear spaces, linear lattices and convexity -- B. Notions and results from topology -- C. The Choquet integral -- D. The extended real calculus -- E. Symbols and notation-- References-- Index.
Summary: Written by authorities in the field, Lower Previsions illustrates how the theory of Lower Previsions can be extended to cover a larger set of random quantities. The text highlights a crucial problem in the theory of imprecise probability and provides a detailed theory on how to resolve it.
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Includes bibliographical references and index.

1. Preliminary notions and definitions --
2. Introduction --
3. Sets of acceptable bounded gambles --
4. Lower previsions --
5. Special coherent lower previsions --
6. n-Monotone lower previsions --
7. Special n-monotone coherent lower previsions --
8. Linear previsions, integration and duality --
9. Examples of linear extension --
10. Lower previsions and symmetry --
11. Extreme lower previsions --
12. Introduction --
13 Conditional lower previsions --
14. Lower previsions for essentially bounded gambles --
15. Lower previsions for previsible gambles --
Appendixes: A. Linear spaces, linear lattices and convexity --
B. Notions and results from topology --
C. The Choquet integral --
D. The extended real calculus --
E. Symbols and notation--
References--
Index.

Written by authorities in the field, Lower Previsions illustrates how the theory of Lower Previsions can be extended to cover a larger set of random quantities. The text highlights a crucial problem in the theory of imprecise probability and provides a detailed theory on how to resolve it.

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