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Lower previsions / / Matthias C.M. Troffaes, Gert de Cooman
| Lower previsions / / Matthias C.M. Troffaes, Gert de Cooman |
| Autore | Troffaes Matthias C. M. <1977-> |
| Pubbl/distr/stampa | Chichester, England : , : Wiley, , 2014 |
| Descrizione fisica | 1 online resource (449 p.) |
| Disciplina | 519.2 |
| Collana | Wiley Series in Probability and Statistics |
| Soggetto topico |
Probabilities
Statistical decision Games of chance (Mathematics) |
| ISBN |
1-118-76113-8
1-118-76262-2 1-118-76264-9 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover; Title Page; Copyright; Contents; 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; 3.2 Belief and behaviour; 3.3 Bounded gambles
3.4 Sets of acceptable bounded gambles3.4.1 Rationality criteria; 3.4.2 Inference; Chapter 4 Lower previsions; 4.1 Lower and upper previsions; 4.1.1 From sets of acceptable bounded gambles to lower previsions; 4.1.2 Lower and upper previsions directly; 4.2 Consistency for lower previsions; 4.2.1 Definition and justification; 4.2.2 A more direct justification for the avoiding sure loss condition; 4.2.3 Avoiding sure loss and avoiding partial loss; 4.2.4 Illustrating the avoiding sure loss condition; 4.2.5 Consequences of avoiding sure loss; 4.3 Coherence for lower previsions 4.3.1 Definition and justification4.3.2 A more direct justification for the coherence condition; 4.3.3 Illustrating the coherence condition; 4.3.4 Linear previsions; 4.4 Properties of coherent lower previsions; 4.4.1 Interesting consequences of coherence; 4.4.2 Coherence and conjugacy; 4.4.3 Easier ways to prove coherence; 4.4.4 Coherence and monotone convergence; 4.4.5 Coherence and a seminorm; 4.5 The natural extension of a lower prevision; 4.5.1 Natural extension as least-committal extension; 4.5.2 Natural extension and equivalence; 4.5.3 Natural extension to a specific domain 4.5.4 Transitivity of natural extension4.5.5 Natural extension and avoiding sure loss; 4.5.6 Simpler ways of calculating the natural extension; 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; 5.3 Limits as linear previsions; 5.4 Vacuous lower previsions; 5.5 {0,1}-valued lower probabilities; 5.5.1 Coherence and natural extension; 5.5.2 The link with classical propositional logic 5.5.3 The link with limits inferior5.5.4 Monotone convergence; 5.5.5 Lower oscillations and neighbourhood filters; 5.5.6 Extending a lower prevision defined on all continuous bounded gambles; Chapter 6 n-Monotone lower previsions; 6.1 n-Monotonicity; 6.2 n-Monotonicity and coherence; 6.2.1 A few observations; 6.2.2 Results for lower probabilities; 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; 7.2.1 Definition and properties; 7.2.2 Vacuous lower previsions; 7.3 Belief functions 7.4 Lower previsions associated with proper filters |
| Record Nr. | UNINA-9910824361803321 |
Troffaes Matthias C. M. <1977->
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| Chichester, England : , : Wiley, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Markov decision processes [[electronic resource] ] : discrete stochastic dynamic programming / / Martin L. Puterman
| Markov decision processes [[electronic resource] ] : discrete stochastic dynamic programming / / Martin L. Puterman |
| Autore | Puterman Martin L |
| Pubbl/distr/stampa | New York, : John Wiley & Sons, c2005 |
| Descrizione fisica | 1 online resource (680 p.) |
| Disciplina | 519.542 |
| Collana | Wiley series in probability and mathematical statistics. Applied probability and statistics section |
| Soggetto topico |
Dynamic programming
Markov processes Statistical decision |
| ISBN |
1-118-62587-0
1-282-30778-9 9786612307782 0-470-31688-8 0-470-31772-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Markov Decision Processes""; ""Contents""; ""Preface""; ""1. Introduction""; ""1.1. The Sequential Decision Model""; ""1.2. Inventory Management""; ""1.3. Bus Engine Replacement""; ""1.4. Highway Pavement Maintenance""; ""1.5. Communication Models""; ""1.6. Mate Desertion in Cooper's Hawks""; ""1.7. So Who's Counting""; ""Historical Background""; ""2. Model Formulation""; ""2.1. Problem Definition and Notation""; ""2.1.1. Decision Epochs and Periods""; ""2.1.2. State and Action Sets""; ""2.1.3. Rewards and Transition Probabilities""; ""2.1.4. Decision Rules""; ""2.1.5. Policics""
""2.1.6. Induced Stochastic Processes, Conditional Probabilities, and Expectations""""2.2. A One-Period Markov Decision Problem""; ""2.3. Technical Considerations""; ""2.3.1. The Role of Model Assumptions""; ""2.3.2. The Borel Model""; ""Bibliographic Remarks""; ""Problems""; ""3. Examples""; ""3.1. A Two-State Markov Decision Process""; ""3.2. Single-Product Stochastic Inventory Control""; ""3.2.1. Model Formulation""; ""3.2.2. A Numerical Example""; ""3.3. Deterministic Dynamic Programs""; ""3.3.1. Problem Formulation""; ""3.3.2. Shortest Route and Critical Path Models"" ""3.3.3. Sequential Allocation Models""""3.3.4. Constrained Maximum Likelihood Estimation""; ""3.4. Optimal Stopping""; ""3.4.1. Problem Formulation""; ""3.4.2. Selling an Asset""; ""3.4.3. The Secretary Problem""; ""3.4.4. Exercising an Option""; ""3.5. Controlled Discrete-Time Dynamic Systems""; ""3.5.1. Model Formulation""; ""3.5.2. The Inventory Control Model Revisited""; ""3.5.3. Economic Growth Models""; ""3.5.4. Linear Quadratic Control""; ""3.6. Bandit Models""; ""3.6.1. Markov Decision Problem Formulation""; ""3.6.2. Applications""; ""3.6.3. Modifications"" ""3.7. Discrete-Time Queueing Systems""""3.7.1. Admission Control""; ""3.7.2. Service Rate Control""; ""Bibliographic Remarks""; ""Problems""; ""4. Finite-Horizon Markov Decision Processes""; ""4.1. Optimality Criteria""; ""4.1.1. Some Preliminaries""; ""4.1.2. The Expected Total Reward Criteria""; ""4.1.3. Optimal Policies""; ""4.2. Finite-Horizon Policy Evaluation""; ""4.3. Optimality Equations and the Principle of Optimality""; ""4.4. Optimality of Deterministic Markov Policies""; ""4.5. Backward Induction""; ""4.6. Examples""; ""4.6.1. The Stochastic Inventory Model"" ""4.6.2. Routing Problems""""4.6.3. The Sequential Allocation Model""; ""4.6.4. The Secretary Problem""; ""4.7. Optimality of Monotone Policies""; ""4.7.1. Structured Policies""; ""4.7.2. Superadditive Functions""; ""4.7.3. Optimality of Monotone Policies""; ""4.7.4. A Price Determination Model""; ""4.7.5. An Equipment Rcplaccrnent Model""; ""4.7.6. Monotone Backward Induction""; ""Bibliographic Remarks""; ""Problems""; ""5. Infinite-Horizon Models: Foundations""; ""5.1. The Value of a Policy""; ""5.2. The Expected Total Reward Criterion"" ""5.3. The Expected Total Discounted Reward Criterion"" |
| Record Nr. | UNINA-9910144693203321 |
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Puterman Martin L
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| New York, : John Wiley & Sons, c2005 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Markov decision processes : discrete stochastic dynamic programming / Martin L. Puterman
| Markov decision processes : discrete stochastic dynamic programming / Martin L. Puterman |
| Autore | Puterman, Martin L. |
| Pubbl/distr/stampa | Hoboken, New Jersey : Wiley-Interscience, c2005 |
| Descrizione fisica | xvii, 649 p. : ill. ; 25 cm |
| Disciplina | 519.23 |
| Collana |
Wiley series in probability and statistics
Wiley-Interscience paperback series |
| Soggetto topico |
Markov processes
Statistical decision Dynamic programming |
| ISBN | 0471727822 |
| Classificazione |
AMS 90C40
AMS 90-02 LC QA274.7.P88 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991001266599707536 |
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Puterman, Martin L.
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| Hoboken, New Jersey : Wiley-Interscience, c2005 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Markov decision processes in artificial intelligence : MDPs, beyond MDPs and applications / / edited by Olivier Sigaud, Olivier Buffet
| Markov decision processes in artificial intelligence : MDPs, beyond MDPs and applications / / edited by Olivier Sigaud, Olivier Buffet |
| Autore | Sigaud Olivier |
| Pubbl/distr/stampa | London, : ISTE, [2010] |
| Descrizione fisica | 1 online resource (457 pages) |
| Disciplina |
006.301/509233
006.301509233 006.33 |
| Altri autori (Persone) |
SigaudOlivier
BuffetOlivier |
| Soggetto topico |
Artificial intelligence - Mathematics
Artificial intelligence - Statistical methods Markov processes Statistical decision |
| ISBN |
1-118-62010-0
1-118-55742-5 1-299-31547-X 1-118-61987-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | pt. 1. MDPs : models and methods -- pt. 2. Beyond MDPs -- pt. 3. Applications. |
| Record Nr. | UNINA-9910139245403321 |
|
Sigaud Olivier
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| London, : ISTE, [2010] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Markov decision processes in artificial intelligence : MDPs, beyond MDPs and applications / / edited by Olivier Sigaud, Olivier Buffet
| Markov decision processes in artificial intelligence : MDPs, beyond MDPs and applications / / edited by Olivier Sigaud, Olivier Buffet |
| Autore | Sigaud Olivier |
| Pubbl/distr/stampa | London, : ISTE, [2010] |
| Descrizione fisica | 1 online resource (457 pages) |
| Disciplina |
006.301/509233
006.301509233 006.33 |
| Altri autori (Persone) |
SigaudOlivier
BuffetOlivier |
| Soggetto topico |
Artificial intelligence - Mathematics
Artificial intelligence - Statistical methods Markov processes Statistical decision |
| ISBN |
1-118-62010-0
1-118-55742-5 1-299-31547-X 1-118-61987-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | pt. 1. MDPs : models and methods -- pt. 2. Beyond MDPs -- pt. 3. Applications. |
| Record Nr. | UNISA-996205320003316 |
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Sigaud Olivier
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| London, : ISTE, [2010] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Markov decision processes in artificial intelligence : MDPs, beyond MDPs and applications / / edited by Olivier Sigaud, Olivier Buffet
| Markov decision processes in artificial intelligence : MDPs, beyond MDPs and applications / / edited by Olivier Sigaud, Olivier Buffet |
| Autore | Sigaud Olivier |
| Pubbl/distr/stampa | London, : ISTE, [2010] |
| Descrizione fisica | 1 online resource (457 pages) |
| Disciplina |
006.301/509233
006.301509233 006.33 |
| Altri autori (Persone) |
SigaudOlivier
BuffetOlivier |
| Soggetto topico |
Artificial intelligence - Mathematics
Artificial intelligence - Statistical methods Markov processes Statistical decision |
| ISBN |
1-118-62010-0
1-118-55742-5 1-299-31547-X 1-118-61987-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | pt. 1. MDPs : models and methods -- pt. 2. Beyond MDPs -- pt. 3. Applications. |
| Record Nr. | UNINA-9910830115603321 |
|
Sigaud Olivier
|
||
| London, : ISTE, [2010] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Markov decision processes in artificial intelligence : MDPs, beyond MDPs and applications / / edited by Olivier Sigaud, Olivier Buffet
| Markov decision processes in artificial intelligence : MDPs, beyond MDPs and applications / / edited by Olivier Sigaud, Olivier Buffet |
| Autore | Sigaud Olivier |
| Pubbl/distr/stampa | London, : ISTE, [2010] |
| Descrizione fisica | 1 online resource (457 pages) |
| Disciplina |
006.301/509233
006.301509233 006.33 |
| Altri autori (Persone) |
SigaudOlivier
BuffetOlivier |
| Soggetto topico |
Artificial intelligence - Mathematics
Artificial intelligence - Statistical methods Markov processes Statistical decision |
| ISBN |
1-118-62010-0
1-118-55742-5 1-299-31547-X 1-118-61987-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | pt. 1. MDPs : models and methods -- pt. 2. Beyond MDPs -- pt. 3. Applications. |
| Record Nr. | UNINA-9910840537403321 |
|
Sigaud Olivier
|
||
| London, : ISTE, [2010] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Mathematical theory of statistics : statistical experiments and asymptotic decision theory / Helmut Strasser
| Mathematical theory of statistics : statistical experiments and asymptotic decision theory / Helmut Strasser |
| Autore | Strasser, Helmut |
| Pubbl/distr/stampa | Berlin ; New York : Walter de Gruyter, 1985 |
| Descrizione fisica | xii, 492 p. ; 26 cm. |
| Disciplina | 519.5 |
| Collana | De Gruyter studies in mathematics ; 7 |
| Soggetto topico |
Experimental design
Mathematical statistics Statistical decision |
| ISBN | 3110102587 |
| Classificazione |
AMS 62-02
AMS 62-XX AMS 62C QA276.S855 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991001120679707536 |
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Strasser, Helmut
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| Berlin ; New York : Walter de Gruyter, 1985 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
The mathematics of decisions, elections, and games / / Karl-Dieter Crisman, Michael A. Jones, editors
| The mathematics of decisions, elections, and games / / Karl-Dieter Crisman, Michael A. Jones, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2014 |
| Descrizione fisica | 1 online resource (229 p.) |
| Disciplina | 519.3 |
| Collana | Contemporary Mathematics |
| Soggetto topico |
Game theory
Statistical decision Probabilities |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-1930-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Preface""; ""Redistricting and district compactness""; ""1. Introduction: Redistricting and Gerrymandering""; ""2. Measuring Compactness""; ""3. Criteria for Compactness Measures and Discussion""; ""References""; ""Fair division and redistricting""; ""1. Introduction""; ""2. Fair Division""; ""3. Redistricting: the problem of partisan unfairness""; ""4. What is a party�s fair share?""; ""5. The ranking protocol""; ""6. The fair division redistricting protocol""; ""7. Conclusion""; ""References""; ""When does approval voting make the “right choices�?""; ""1. Introduction""
""2. Judging Multiple Proposals""""3. State Dependence""; ""4. Proposal Dependence""; ""5. Other Kinds of Dependence""; ""6. Follow-the-Leader""; ""7. Applications to Politics""; ""8. Relationship to the Condorcet Jury Theorem (CJT)""; ""9. Conclusions""; ""References""; ""How indeterminate is sequential majority voting? A judgement aggregation perspective""; ""1. Introduction""; ""2. Preliminaries""; ""3. Global indeterminacy""; ""4. Full indeterminacy""; ""5. Generalized Antichains""; ""6. Condorcet entropy and almost full indeterminacy""; ""Conclusion""; ""Appendix: Proofs"" ""References""""Weighted voting, threshold functions, and zonotopes""; ""1. Introduction""; ""2. Hyperplane arrangements and zonotopes""; ""3. The derived zonotope""; ""4. Conclusions and future work""; ""5. Acknowledgments""; ""References""; ""The Borda Count, the Kemeny Rule, and the Permutahedron""; ""1. Introduction""; ""2. Social Choice and Symmetry""; ""3. Decompositions and Voting""; ""4. Representations""; ""5. Theorems and the Borda-Kemeny Spectrum""; ""6. Looking Forward""; ""7. Appendix""; ""References""; ""Double-interval societies""; ""1. Introduction"" ""2. Double- String Societies""""3. Asymptotic approval ratios for double- string societies""; ""4. A double-interval society lower bound""; ""5. Modifying double- string societies""; ""6. Conclusion and Open Questions""; ""References""; ""Voting for committees in agreeable societies""; ""1. Introduction""; ""2. Definitions""; ""3. Votes Within a Ball""; ""4. Concentric Voter Distributions""; ""5. Main Theorem""; ""6. Extensions""; ""References""; ""Selecting diverse committees with candidates from multiple categories""; ""1. Introduction""; ""2. Basic framework"" ""4. A Dynamic Approach to Solving the Bankruptcy Problem"" |
| Record Nr. | UNINA-9910480533003321 |
| Providence, Rhode Island : , : American Mathematical Society, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The mathematics of decisions, elections, and games / / Karl-Dieter Crisman, Michael A. Jones, editors
| The mathematics of decisions, elections, and games / / Karl-Dieter Crisman, Michael A. Jones, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2014 |
| Descrizione fisica | 1 online resource (229 p.) |
| Disciplina | 519.3 |
| Collana | Contemporary Mathematics |
| Soggetto topico |
Game theory
Statistical decision Probabilities |
| ISBN | 1-4704-1930-0 |
| Classificazione | 91-0691A0591A1291A2091B0691B0891B1291B1491B3291F10 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Preface""; ""Redistricting and district compactness""; ""1. Introduction: Redistricting and Gerrymandering""; ""2. Measuring Compactness""; ""3. Criteria for Compactness Measures and Discussion""; ""References""; ""Fair division and redistricting""; ""1. Introduction""; ""2. Fair Division""; ""3. Redistricting: the problem of partisan unfairness""; ""4. What is a party�s fair share?""; ""5. The ranking protocol""; ""6. The fair division redistricting protocol""; ""7. Conclusion""; ""References""; ""When does approval voting make the “right choices�?""; ""1. Introduction""
""2. Judging Multiple Proposals""""3. State Dependence""; ""4. Proposal Dependence""; ""5. Other Kinds of Dependence""; ""6. Follow-the-Leader""; ""7. Applications to Politics""; ""8. Relationship to the Condorcet Jury Theorem (CJT)""; ""9. Conclusions""; ""References""; ""How indeterminate is sequential majority voting? A judgement aggregation perspective""; ""1. Introduction""; ""2. Preliminaries""; ""3. Global indeterminacy""; ""4. Full indeterminacy""; ""5. Generalized Antichains""; ""6. Condorcet entropy and almost full indeterminacy""; ""Conclusion""; ""Appendix: Proofs"" ""References""""Weighted voting, threshold functions, and zonotopes""; ""1. Introduction""; ""2. Hyperplane arrangements and zonotopes""; ""3. The derived zonotope""; ""4. Conclusions and future work""; ""5. Acknowledgments""; ""References""; ""The Borda Count, the Kemeny Rule, and the Permutahedron""; ""1. Introduction""; ""2. Social Choice and Symmetry""; ""3. Decompositions and Voting""; ""4. Representations""; ""5. Theorems and the Borda-Kemeny Spectrum""; ""6. Looking Forward""; ""7. Appendix""; ""References""; ""Double-interval societies""; ""1. Introduction"" ""2. Double- String Societies""""3. Asymptotic approval ratios for double- string societies""; ""4. A double-interval society lower bound""; ""5. Modifying double- string societies""; ""6. Conclusion and Open Questions""; ""References""; ""Voting for committees in agreeable societies""; ""1. Introduction""; ""2. Definitions""; ""3. Votes Within a Ball""; ""4. Concentric Voter Distributions""; ""5. Main Theorem""; ""6. Extensions""; ""References""; ""Selecting diverse committees with candidates from multiple categories""; ""1. Introduction""; ""2. Basic framework"" ""4. A Dynamic Approach to Solving the Bankruptcy Problem"" |
| Record Nr. | UNINA-9910788257803321 |
| Providence, Rhode Island : , : American Mathematical Society, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
