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|a 519.2
|2 23
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|a MAIN
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|a Troffaes, Matthias C. M.,
|d 1977-
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|a Lower previsions /
|c Matthias C.M. Troffaes. Gert de Cooman.
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|a Chichester, West Sussex, United Kingdom :
|b Wiley,
|c 2014.
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|a 1 online resource.
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
|2 rdacarrier
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|a Wiley series in probability and statistics
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|a Includes bibliographical references and index.
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|a Print version record and CIP data provided by publisher.
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|a Wiley Series in Probability and Statistics; Title Page; Copyright; Dedication; Preface; Acknowledgements; Chapter 1: Preliminary notions and definitions; 1.1 Sets of numbers; 1.2 Gambles; 1.3 Subsets and their indicators; 1.4 Collections of events; 1.5 Directed sets and Moore-Smith limits; 1.6 Uniform convergence of bounded gambles; 1.7 Set functions, charges and measures; 1.8 Measurability and simple gambles; 1.9 Real functionals; 1.10 A useful lemma; Part I: Lower Previsions on Bounded Gambles; Chapter 2: Introduction; Chapter 3: Sets of acceptable bounded gambles; 3.1 Random variables
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|a 3.2 Belief and behaviour3.3 Bounded gambles; 3.4 Sets of acceptable bounded gambles; Chapter 4: Lower previsions; 4.1 Lower and upper previsions; 4.2 Consistency for lower previsions; 4.3 Coherence for lower previsions; 4.4 Properties of coherent lower previsions; 4.5 The natural extension of a lower prevision; 4.6 Alternative characterisations for avoiding sure loss, coherence, and natural extension; 4.7 Topological considerations; Chapter 5: Special coherent lower previsions; 5.1 Linear previsions on finite spaces; 5.2 Coherent lower previsions on finite spaces
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|a 5.3 Limits as linear previsions5.4 Vacuous lower previsions; 5.5 {0,1}-valued lower probabilities; Chapter 6: n-Monotone lower previsions; 6.1 n-Monotonicity; 6.2 n-Monotonicity and coherence; 6.3 Representation results; Chapter 7: Special n-monotone coherent lower previsions; 7.1 Lower and upper mass functions; 7.2 Minimum preserving lower previsions; 7.3 Belief functions; 7.4 Lower previsions associated with proper filters; 7.5 Induced lower previsions; 7.6 Special cases of induced lower previsions; 7.7 Assessments on chains of sets; 7.8 Possibility and necessity measures
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|a 7.9 Distribution functions and probability boxesChapter 8: Linear previsions, integration and duality; 8.1 Linear extension and integration; 8.2 Integration of probability charges; 8.3 Inner and outer set function, completion and other extensions; 8.4 Linear previsions and probability charges; 8.5 The S-integral; 8.6 The Lebesgue integral; 8.7 The Dunford integral; Chapter 9: Examples of linear extension; 9.1 Distribution functions; 9.2 Limits inferior; 9.3 Lower and upper oscillations; 9.4 Linear extension of a probability measure
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|a 9.5 Extending a linear prevision from continuous bounded gambles9.6 Induced lower previsions and random sets; Chapter 10: Lower previsions and symmetry; 10.1 Invariance for lower previsions; 10.2 An important special case; 10.3 Interesting examples; Chapter 11: Extreme lower previsions; 11.1 Preliminary results concerning real functionals; 11.2 Inequality preserving functionals; 11.3 Properties of inequality preserving functionals; 11.4 Infinite non-negative linear combinations of inequality preserving functionals; 11.5 Representation results
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650 |
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|a Probabilities.
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650 |
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|a Statistical decision.
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650 |
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|a Games of chance (Mathematics)
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650 |
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7 |
|a MATHEMATICS
|x Applied.
|2 bisacsh
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650 |
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|a MATHEMATICS
|x Probability & Statistics
|x General.
|2 bisacsh
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650 |
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7 |
|a Games of chance (Mathematics)
|2 fast
|0 (OCoLC)fst00937578
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650 |
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7 |
|a Probabilities.
|2 fast
|0 (OCoLC)fst01077737
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650 |
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|a Statistical decision.
|2 fast
|0 (OCoLC)fst01132059
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|a Electronic books.
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700 |
1 |
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|a Cooman, Gert de.
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776 |
0 |
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|i Print version:
|a Troffaes, Matthias C.M., 1977-
|t Lower previsions.
|d Chichester, West Sussex : John Wiley & Sons, Inc., 2014
|z 9780470723777
|w (DLC) 2014002217
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830 |
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0 |
|a Wiley series in probability and statistics.
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856 |
4 |
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|u https://doi.org/10.1002/9781118762622
|z Full Text via HEAL-Link
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|a 92
|b DG1
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