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Lower Previsions
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Introduction to Imprecise Probabilities
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Introduction to Imprecise Probabilities
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Lower Previsions
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Introduction to Imprecise Probabilities (eng)
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Introduction to Imprecise Probabilities (Wiley Series in Probability and Statistics)
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Introduction to Imprecise Probabilities
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Lower Previsions
Libro 258 di 358: Wiley Series in Probability and StatisticsLingua: Inglese
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Aggiungi al carrelloHardback. Condizione: New. This book has two main purposes. On the one hand, it provides aconcise and systematic development of the theory of lower previsions,based on the concept of acceptability, in spirit of the work ofWilliams and Walley. On the other hand, it also extends this theory todeal with unbounded quantities, which abound in practicalapplications. Following Williams, we start out with sets of acceptable gambles. Fromthose, we derive rationality criteria---avoiding sure loss andcoherence---and inference methods---natural extension---for(unconditional) lower previsions. We then proceed to study variousaspects of the resulting theory, including the concept of expectation(linear previsions), limits, vacuous models, classical propositionallogic, lower oscillations, and monotone convergence. We discussn-monotonicity for lower previsions, and relate lower previsions withChoquet integration, belief functions, random sets, possibilitymeasures, various integrals, symmetry, and representation theoremsbased on the Bishop-De Leeuw theorem. Next, we extend the framework of sets of acceptable gambles to consideralso unbounded quantities. As before, we again derive rationalitycriteria and inference methods for lower previsions, this time alsoallowing for conditioning. We apply this theory to constructextensions of lower previsions from bounded random quantities to alarger set of random quantities, based on ideas borrowed from thetheory of Dunford integration. A first step is to extend a lower prevision to random quantities thatare bounded on the complement of a null set (essentially boundedrandom quantities). This extension is achieved by a natural extensionprocedure that can be motivated by a rationality axiom stating thatadding null random quantities does not affect acceptability. In a further step, we approximate unbounded random quantities by asequences of bounded ones, and, in essence, we identify those forwhich the induced lower prevision limit does not depend on the detailsof the approximation. We call those random quantities 'previsible'. Westudy previsibility by cut sequences, and arrive at a simplesufficient condition. For the 2-monotone case, we establish a Choquetintegral representation for the extension. For the general case, weprove that the extension can always be written as an envelope ofDunford integrals. We end with some examples of the theory.
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Lower Previsions
Libro 258 di 358: Wiley Series in Probability and StatisticsDa: GreatBookPricesUK, Woodford Green, Regno Unito
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Lower Previsions (Wiley Series in Probability and Statistics)
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Lower Previsions
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Aggiungi al carrelloCondizione: New. 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. Series: Wiley Series in Probability and Statistics. Num Pages: 448 pages, Illustrations. BIC Classification: PBT. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 237 x 151 x 26. Weight in Grams: 696. . 2014. . . . .
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Introduction to Imprecise Probabilities
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Introduction to Imprecise Probabilities
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Aggiungi al carrelloCondizione: New. * The first book to chart the development and applications of this growing subject. * Provides a comprehensive introduction to imprecise probabilities, including theory and applications reflecting the current state of the art. * Each chapter is written by leading experts in their field. Editor(s): Augustin, Thomas; Coolen, Frank P. A.; de Cooman, Gert; Troffaes, Matthias C. M. Series: Wiley Series in Probability and Statistics. Num Pages: 448 pages, black & white illustrations, black & white tables, figures, graphs. BIC Classification: PBT. Category: (P) Professional & Vocational. Dimension: 179 x 245 x 26. Weight in Grams: 838. . 2014. 1st Edition. Hardcover. . . . .
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Introduction to Imprecise Probabilities
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General Theory of Coherent Lower Previsions
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Introduction to Imprecise Probabilities
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Lower Previsions
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Condizione: New. 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. Series: Wiley Series in Probability and Statistics. Num Pages: 448 pages, Illustrations. BIC Classification: PBT. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 237 x 151 x 26. Weight in Grams: 696. . 2014. . . . . Books ship from the US and Ireland.
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General Theory of Coherent Lower Previsions
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Lower Previsions
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Lower Previsions (Wiley Series in Probability and Statistics)
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Introduction to Imprecise Probabilities
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Aggiungi al carrelloCondizione: New. * The first book to chart the development and applications of this growing subject. * Provides a comprehensive introduction to imprecise probabilities, including theory and applications reflecting the current state of the art. * Each chapter is written by leading experts in their field. Editor(s): Augustin, Thomas; Coolen, Frank P. A.; de Cooman, Gert; Troffaes, Matthias C. M. Series: Wiley Series in Probability and Statistics. Num Pages: 448 pages, black & white illustrations, black & white tables, figures, graphs. BIC Classification: PBT. Category: (P) Professional & Vocational. Dimension: 179 x 245 x 26. Weight in Grams: 838. . 2014. 1st Edition. Hardcover. . . . . Books ship from the US and Ireland.
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General Theory of Coherent Lower Previsions
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Lower Previsions
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Introduction to Imprecise Probabilities
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Aggiungi al carrelloGebunden. Condizione: New. In recent years, the theory has become widely accepted and has been further developed, but a detailed introduction is needed in order to make the material available and accessible to a wide audience. This will be the first book providing such an introductio.
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Introduction to Imprecise Probabilities
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Foundation and Applications of Possibility Theory: Proceedings of Fapt '95 : Ghent, Beigium 13-15 December 1995 (Advances in Fuzzy Systems:
Lingua: Inglese
Editore: World Scientific Pub Co Inc, 1995
ISBN 10: 9810222890 ISBN 13: 9789810222895
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Aggiungi al carrelloHardcover. Condizione: Bon. Ancien livre de bibliothèque avec équipements. Edition 1995. Ammareal reverse jusqu'à 15% du prix net de cet article à des organisations caritatives. ENGLISH DESCRIPTION Book Condition: Used, Good. Former library book. Edition 1995. Ammareal gives back up to 15% of this item's net price to charity organizations.
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Introduction to Imprecise Probabilities (Wiley Series in Probability and Statistics)
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Introduction to Imprecise Probabilities
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Lower Previsions
Libro 258 di 358: Wiley Series in Probability and StatisticsLingua: Inglese
Editore: John Wiley and Sons Inc, US, 2014
ISBN 10: 0470723777 ISBN 13: 9780470723777
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Aggiungi al carrelloHardback. Condizione: New. This book has two main purposes. On the one hand, it provides aconcise and systematic development of the theory of lower previsions,based on the concept of acceptability, in spirit of the work ofWilliams and Walley. On the other hand, it also extends this theory todeal with unbounded quantities, which abound in practicalapplications. Following Williams, we start out with sets of acceptable gambles. Fromthose, we derive rationality criteria---avoiding sure loss andcoherence---and inference methods---natural extension---for(unconditional) lower previsions. We then proceed to study variousaspects of the resulting theory, including the concept of expectation(linear previsions), limits, vacuous models, classical propositionallogic, lower oscillations, and monotone convergence. We discussn-monotonicity for lower previsions, and relate lower previsions withChoquet integration, belief functions, random sets, possibilitymeasures, various integrals, symmetry, and representation theoremsbased on the Bishop-De Leeuw theorem. Next, we extend the framework of sets of acceptable gambles to consideralso unbounded quantities. As before, we again derive rationalitycriteria and inference methods for lower previsions, this time alsoallowing for conditioning. We apply this theory to constructextensions of lower previsions from bounded random quantities to alarger set of random quantities, based on ideas borrowed from thetheory of Dunford integration. A first step is to extend a lower prevision to random quantities thatare bounded on the complement of a null set (essentially boundedrandom quantities). This extension is achieved by a natural extensionprocedure that can be motivated by a rationality axiom stating thatadding null random quantities does not affect acceptability. In a further step, we approximate unbounded random quantities by asequences of bounded ones, and, in essence, we identify those forwhich the induced lower prevision limit does not depend on the detailsof the approximation. We call those random quantities 'previsible'. Westudy previsibility by cut sequences, and arrive at a simplesufficient condition. For the 2-monotone case, we establish a Choquetintegral representation for the extension. For the general case, weprove that the extension can always be written as an envelope ofDunford integrals. We end with some examples of the theory.
-
Foundations and Applications of Possibility Theory - Proceedings of Fapt '95
Lingua: Inglese
Editore: World Scientific Publishing Company, 1995
ISBN 10: 9810222890 ISBN 13: 9789810222895
EUR 80,39
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Aggiungi al carrelloCondizione: Sehr gut. Zustand: Sehr gut | Seiten: 344 | Sprache: Englisch | Produktart: Bücher | Since the inception of possibility theory in 1978, theoretical advances have established it as an important field of research. FAPT'95 is the first international conference specifically dealing with possibility theory in its own right.This book contains the full versions of the papers presented at FAPT'95, and is divided into two logical parts. The first part deals with foundational issues, including measure-theoretical and logical aspects of possibility theory, the relation between possibility theory and other uncertainty models, the relation between possibility theory and fuzzy set theory, and the semantics of possibility theory.The second part focusses on applications of possibility theory, more particularly in such fields as computational intelligence, fuzzy control, qualitative utility theory, database and knowledge-based systems technology, image recognition, and reliability.
