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Radically Elementary Probability Theory. (AM-117), Volume 117 / / Edward Nelson
| Radically Elementary Probability Theory. (AM-117), Volume 117 / / Edward Nelson |
| Autore | Nelson Edward |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (109 pages) : illustrations |
| Disciplina | 519.2 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Martingales (Mathematics)
Stochastic processes Probabilities |
| Soggetto non controllato |
Abraham Robinson
Absolute value Addition Algebra of random variables Almost surely Axiom Axiomatic system Borel set Bounded function Cantor's diagonal argument Cardinality Cartesian product Central limit theorem Chebyshev's inequality Compact space Contradiction Convergence of random variables Corollary Correlation coefficient Counterexample Dimension (vector space) Dimension Division by zero Elementary function Estimation Existential quantification Family of sets Finite set Hyperplane Idealization Independence (probability theory) Indicator function Infinitesimal Internal set theory Joint probability distribution Law of large numbers Linear function Martingale (probability theory) Mathematical induction Mathematician Mathematics Measure (mathematics) N0 Natural number Non-standard analysis Norm (mathematics) Orthogonal complement Parameter Path space Predictable process Probability distribution Probability measure Probability space Probability theory Probability Product topology Projection (linear algebra) Quadratic variation Random variable Real number Requirement Scientific notation Sequence Set (mathematics) Significant figures Special case Standard deviation Statistical mechanics Stochastic process Subalgebra Subset Summation Theorem Theory Total variation Transfer principle Transfinite number Trigonometric functions Upper and lower bounds Variable (mathematics) Variance Vector space W0 Wiener process Without loss of generality |
| ISBN | 1-4008-8214-1 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Table of contents -- Preface -- Acknowledgments -- 1. Random variables -- 2. Algebras of random variables -- 3. Stochastic processes -- 4. External concepts -- 5. Infinitesimals -- 6. External analogues of internal notions -- 7. Properties that hold almost everywhere -- 8. L1 random variables 30 -- 9. The decomposition of a stochastic process -- 10. The total variation of a process -- 11. Convergence of martingales -- 12. Fluctuations of martingales -- 13. Discontinuities of martingales -- 14. The Lindeberg condition -- 15. The maximum of a martingale -- 16. The law of large numbers -- 17. Nearly equivalent stochastic processes -- 18. The de Moivre-Laplace-Lindeberg-Feller-Wiener- Lévy-Doob-Erdös-Kac-Donsker-Prokhorov theorem -- Appendix -- Index |
| Record Nr. | UNINA-9910154754503321 |
Nelson Edward
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Séminaire de Probabilités 38. / M. Émery, M. Ledoux, M. Yor (eds.)
| Séminaire de Probabilités 38. / M. Émery, M. Ledoux, M. Yor (eds.) |
| Pubbl/distr/stampa | Berlin, : Springer, 2005 |
| Descrizione fisica | IX, 392 p. ; 24 cm |
| Soggetto topico |
60Hxx - Stochastic analysis [MSC 2020]
60Jxx - Markov processes [MSC 2020] 60Gxx - Stochastic processes [MSC 2020] |
| Soggetto non controllato |
Brownian Motions
Fractional Brownian motion Gaussian processes Local time Lévy processes Markov Processes Martingales Ornstein-Uhlenbeck process Predictable process Probability Random Walks Random variables Stochastic processes Stochastic profiltration |
| ISBN | 978-35-402-3973-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN0055777 |
| Berlin, : Springer, 2005 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Séminaire de Probabilités 38. / M. Émery, M. Ledoux, M. Yor (eds.)
| Séminaire de Probabilités 38. / M. Émery, M. Ledoux, M. Yor (eds.) |
| Pubbl/distr/stampa | Berlin, : Springer, 2005 |
| Descrizione fisica | IX, 392 p. ; 24 cm |
| Soggetto topico |
60Gxx - Stochastic processes [MSC 2020]
60Hxx - Stochastic analysis [MSC 2020] 60Jxx - Markov processes [MSC 2020] |
| Soggetto non controllato |
Brownian Motions
Fractional Brownian motion Gaussian processes Local time Lévy processes Markov Processes Martingales Ornstein-Uhlenbeck process Predictable process Probability Random Walks Random variables Stochastic processes Stochastic profiltration |
| ISBN | 978-35-402-3973-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN00055777 |
| Berlin, : Springer, 2005 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||