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Janus-Faced Probability / / by Paolo Rocchi
| Janus-Faced Probability / / by Paolo Rocchi |
| Autore | Rocchi Paolo |
| Edizione | [1st ed. 2014.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2014 |
| Descrizione fisica | 1 online resource (150 p.) |
| Disciplina |
510
510.9 511.3 519.2 |
| Soggetto topico |
Probabilities
Mathematics History Mathematical logic Probability Theory and Stochastic Processes History of Mathematical Sciences Mathematical Logic and Foundations |
| ISBN | 3-319-04861-9 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Preface""; ""Contents""; ""Introduction""; ""Part I On the Meaning of Probability ""; ""1 Interpretations of Probability""; ""1.1�Variety of Theories""; ""1.2�Pluralists""; ""References""; ""2 A Mathematical Approach to the Interpretation Problem""; ""2.1�Why I am a Pluralist""; ""2.2�Guidelines""; ""2.3�An Analytical Approach""; ""2.3.1 Theorem of Large Numbers (Strong)""; ""2.3.2 Theorem of a Single Number""; ""2.4�Two Remarks on Mathematics and Science""; ""2.4.1 Physical Mapping""; ""2.4.2 Division of Labor""; ""2.5�Different Arguments, Different Probabilities""
""References""""3 Probability Validation""; ""3.1�A Parameter that Cannot be Validated Does Not Exist""; ""3.2�Theoretical Proof and Empirical Validation""; ""3.3�From Controllability to Realism""; ""3.3.1 Statistics of Long-Term Events""; ""3.4�From Uncontrollability to Unrealism""; ""3.4.1 Statistics of Single Events""; ""3.5�Sorry Science""; ""3.5.1 Severe Constraint""; ""3.5.2 Opponents to Unrealism""; ""3.5.3 Things are No Longer the Same""; ""3.6�Closing Remarks""; ""References""; ""4 About the Compatibility of the Diverging Interpretations"" ""4.1�Not Contradictory Approaches""""4.2�Method of Working""; ""4.2.1 Lemma of Obligatory Subjectivism""; ""4.2.2 Mutually Exclusive Tactics""; ""References""; ""5 Criticism on the Philosophical Pollution""; ""5.1�Analytical Assumptions""; ""5.2�Separation of Areas""; ""5.3�Inclusiveness""; ""5.4�Terms of Comparison""; ""5.5�Moderated Debates""; ""5.5.1 Death of Dogmatism""; ""5.5.2 Empirical Problem Solving""; ""5.6�Open Doors""; ""References""; ""Part II Considerations Around the Probability Axiomatization ""; ""6 Some Remarks on the Argument of Probability"" ""6.1�Abstract Axioms""""6.2�System Modeling""; ""6.2.1 DFDs""; ""6.2.2 ERD""; ""6.3�A Negligible Topic?""; ""6.3.1 Famous Correspondence""; ""6.3.2 Pascal�s Conjecture""; ""References""; ""7 Classical Modeling of the Probability Argument""; ""7.1�Subset""; ""7.2�Sentence""; ""7.3�Precise and Generic Arguments""; ""8 Structural Modeling of the Probability Argument""; ""8.1�Structural Model""; ""8.1.1 Graph Model""; ""8.1.2 Algebraic Model""; ""8.1.3 Use of the Structural Model""; ""8.2�Compound Structures""; ""8.2.1 Meta-Relationships""; ""8.2.2 Basic Structural Forms"" ""8.3�Structure of Levels""""8.3.1 A Case""; ""References""; ""9 Some Topics on Probability and Structural Models""; ""9.1�Demanding Structural Analysis""; ""9.2�Illustration of Events""; ""9.2.1 Complete Structure""; ""9.2.2 Incomplete Structure""; ""9.2.3 Ignorance, Uncertainty and Perfect Knowledge""; ""9.2.4 Structures and Probability""; ""9.3�In Search of a Precise Argument""; ""9.3.1 Experiments""; ""9.3.2 Classical Definition""; ""9.3.3 Definitional Arguments of Probability""; ""9.3.4 Useful Arguments of Probability""; ""References""; ""10 Exploring into the Essence of Events"" ""10.1�The Core"" |
| Record Nr. | UNINA-9910300151303321 |
Rocchi Paolo
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Reliability is a New Science : Gnedenko Was Right / / by Paolo Rocchi
| Reliability is a New Science : Gnedenko Was Right / / by Paolo Rocchi |
| Autore | Rocchi Paolo |
| Edizione | [1st ed. 2017.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017 |
| Descrizione fisica | 1 online resource (XV, 152 p. 50 illus.) |
| Disciplina | 003.3 |
| Soggetto topico |
Mathematical models
Statistics Quality control Reliability Industrial safety Insurance Mathematical Modeling and Industrial Mathematics Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences Quality Control, Reliability, Safety and Risk |
| ISBN | 3-319-57472-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1 Background and Motivation. - 2 Old and Novel Tools for the Calculus of the Hazard Rate -- 3 How Systems Break Down. - 4 Constant Decline -- 5 Random Factors -- 6 Accelerated Decline -- 7 When the Premises are Untrue -- 8 Ideal Hazard Rate 9. Properties of Repairable Systems -- 10. Conclusive Remarks and Comments -- Appendix A History of Reliability in Literature -- Appendix B Two Sided Estimates of Rate Convergence in Limit Theorem for Minimums of Random Variables -- Appendix C Mortality Plateau. |
| Record Nr. | UNINA-9910254275703321 |
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Rocchi Paolo
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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