TY - BOOK AU - Troffaes,Matthias C.M. AU - Cooman,Gert de TI - Lower previsions T2 - Wiley series in probability and statistics SN - 9780470723777 (cloth) U1 - 519.2 23 PY - 2014/// CY - Chichester PB - John Wiley KW - Probabilities KW - Statistical decision KW - Games of chance (Mathematics) N1 - 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 N2 - 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. ER -