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Order-Preserving Maps and Integration Processes. (AM-31), Volume 31 / / Edward J. McShane
| Order-Preserving Maps and Integration Processes. (AM-31), Volume 31 / / Edward J. McShane |
| Autore | McShane Edward J. |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (148 pages) |
| Disciplina | 512.86 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Group theory
Integrals |
| Soggetto non controllato |
Abelian group
Addition Axiom Baire function Banach space Big O notation Binary operation Binary relation Borel set Bounded function Cartesian product Characteristic function (probability theory) Circumference Closure (mathematics) Coefficient Combination Commutative algebra Compact space Complete lattice Continuous function (set theory) Continuous function Contradiction Corollary Coset Countable set Directed set Domain of a function Elementary function Empty set Equation Equivalence class Estimation Existential quantification Finite set Fubini's theorem Hilbert space I0 Infimum and supremum Integer L-function Lattice (order) Lebesgue integration Limit (mathematics) Limit superior and limit inferior Linear map Measure (mathematics) Monotonic function Natural number Order of operations Parity (mathematics) Partially ordered group Partially ordered set Pointwise convergence Pointwise Polynomial Projection (linear algebra) Quadratic function Real number Requirement Riemann integral Riemann–Stieltjes integral Scalar multiplication Scientific notation Self-adjoint operator Set (mathematics) Set function Sign (mathematics) Special case Subset Subtraction Summation Theorem Unification (computer science) Upper and lower bounds |
| ISBN | 1-4008-8230-3 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- CONTENTS -- INTRODUCTION -- CHAPTER I. PARTIALLY ORDERED SETS AND SYSTEMS -- CHAPTER II. DEFINITION OF THE MAPPING -- CHAPTER III. LATTICE PROPERTIES, CONVERGENCE AND MEASURABILITY -- CHAPTER IV. ALGEBRAIC OPERATIONS -- CHAPTER V. REAL-VALUED FUNCTIONS -- CHAPTER VI. APPLICATIONS -- BIBLIOGRAPHY -- Backmatter |
| Record Nr. | UNINA-9910154751203321 |
McShane Edward J.
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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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 |
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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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