Radically Elementary Probability Theory. (AM-117), Volume 117 / / Edward Nelson.
Using only the very elementary framework of finite probability spaces, this book treats a number of topics in the modern theory of stochastic processes. This is made possible by using a small amount of Abraham Robinson's nonstandard analysis and not attempting to convert the results into conven...
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| Superior document: | Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020 |
|---|---|
| VerfasserIn: | |
| Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2016] ©1988 |
| Year of Publication: | 2016 |
| Language: | English |
| Series: | Annals of Mathematics Studies ;
117 |
| Online Access: | |
| Physical Description: | 1 online resource (107 p.) |
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| LEADER | 06751nam a22017535i 4500 | ||
|---|---|---|---|
| 001 | 9781400882144 | ||
| 003 | DE-B1597 | ||
| 005 | 20220131112047.0 | ||
| 006 | m|||||o||d|||||||| | ||
| 007 | cr || |||||||| | ||
| 008 | 220131t20161988nju fo d z eng d | ||
| 020 | |a 9781400882144 | ||
| 024 | 7 | |a 10.1515/9781400882144 |2 doi | |
| 035 | |a (DE-B1597)467948 | ||
| 035 | |a (OCoLC)979911355 | ||
| 040 | |a DE-B1597 |b eng |c DE-B1597 |e rda | ||
| 041 | 0 | |a eng | |
| 044 | |a nju |c US-NJ | ||
| 050 | 4 | |a QA274.5 |b .N45 1987eb | |
| 072 | 7 | |a MAT029000 |2 bisacsh | |
| 082 | 0 | 4 | |a 519.2 |2 23 |
| 100 | 1 | |a Nelson, Edward, |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Radically Elementary Probability Theory. (AM-117), Volume 117 / |c Edward Nelson. |
| 264 | 1 | |a Princeton, NJ : |b Princeton University Press, |c [2016] | |
| 264 | 4 | |c ©1988 | |
| 300 | |a 1 online resource (107 p.) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 0 | |a Annals of Mathematics Studies ; |v 117 | |
| 505 | 0 | 0 | |t Frontmatter -- |t Table of contents -- |t Preface -- |t Acknowledgments -- |t 1. Random variables -- |t 2. Algebras of random variables -- |t 3. Stochastic processes -- |t 4. External concepts -- |t 5. Infinitesimals -- |t 6. External analogues of internal notions -- |t 7. Properties that hold almost everywhere -- |t 8. L1 random variables 30 -- |t 9. The decomposition of a stochastic process -- |t 10. The total variation of a process -- |t 11. Convergence of martingales -- |t 12. Fluctuations of martingales -- |t 13. Discontinuities of martingales -- |t 14. The Lindeberg condition -- |t 15. The maximum of a martingale -- |t 16. The law of large numbers -- |t 17. Nearly equivalent stochastic processes -- |t 18. The de Moivre-Laplace-Lindeberg-Feller-Wiener- Lévy-Doob-Erdös-Kac-Donsker-Prokhorov theorem -- |t Appendix -- |t Index |
| 506 | 0 | |a restricted access |u http://purl.org/coar/access_right/c_16ec |f online access with authorization |2 star | |
| 520 | |a Using only the very elementary framework of finite probability spaces, this book treats a number of topics in the modern theory of stochastic processes. This is made possible by using a small amount of Abraham Robinson's nonstandard analysis and not attempting to convert the results into conventional form. | ||
| 530 | |a Issued also in print. | ||
| 538 | |a Mode of access: Internet via World Wide Web. | ||
| 546 | |a In English. | ||
| 588 | 0 | |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 31. Jan 2022) | |
| 650 | 0 | |a Martingales (Mathematics). | |
| 650 | 0 | |a Probabilities. | |
| 650 | 0 | |a Stochastic processes. | |
| 650 | 7 | |a MATHEMATICS / Probability & Statistics / General. |2 bisacsh | |
| 653 | |a Abraham Robinson. | ||
| 653 | |a Absolute value. | ||
| 653 | |a Addition. | ||
| 653 | |a Algebra of random variables. | ||
| 653 | |a Almost surely. | ||
| 653 | |a Axiom. | ||
| 653 | |a Axiomatic system. | ||
| 653 | |a Borel set. | ||
| 653 | |a Bounded function. | ||
| 653 | |a Cantor's diagonal argument. | ||
| 653 | |a Cardinality. | ||
| 653 | |a Cartesian product. | ||
| 653 | |a Central limit theorem. | ||
| 653 | |a Chebyshev's inequality. | ||
| 653 | |a Compact space. | ||
| 653 | |a Contradiction. | ||
| 653 | |a Convergence of random variables. | ||
| 653 | |a Corollary. | ||
| 653 | |a Correlation coefficient. | ||
| 653 | |a Counterexample. | ||
| 653 | |a Dimension (vector space). | ||
| 653 | |a Dimension. | ||
| 653 | |a Division by zero. | ||
| 653 | |a Elementary function. | ||
| 653 | |a Estimation. | ||
| 653 | |a Existential quantification. | ||
| 653 | |a Family of sets. | ||
| 653 | |a Finite set. | ||
| 653 | |a Hyperplane. | ||
| 653 | |a Idealization. | ||
| 653 | |a Independence (probability theory). | ||
| 653 | |a Indicator function. | ||
| 653 | |a Infinitesimal. | ||
| 653 | |a Internal set theory. | ||
| 653 | |a Joint probability distribution. | ||
| 653 | |a Law of large numbers. | ||
| 653 | |a Linear function. | ||
| 653 | |a Martingale (probability theory). | ||
| 653 | |a Mathematical induction. | ||
| 653 | |a Mathematician. | ||
| 653 | |a Mathematics. | ||
| 653 | |a Measure (mathematics). | ||
| 653 | |a N0. | ||
| 653 | |a Natural number. | ||
| 653 | |a Non-standard analysis. | ||
| 653 | |a Norm (mathematics). | ||
| 653 | |a Orthogonal complement. | ||
| 653 | |a Parameter. | ||
| 653 | |a Path space. | ||
| 653 | |a Predictable process. | ||
| 653 | |a Probability distribution. | ||
| 653 | |a Probability measure. | ||
| 653 | |a Probability space. | ||
| 653 | |a Probability theory. | ||
| 653 | |a Probability. | ||
| 653 | |a Product topology. | ||
| 653 | |a Projection (linear algebra). | ||
| 653 | |a Quadratic variation. | ||
| 653 | |a Random variable. | ||
| 653 | |a Real number. | ||
| 653 | |a Requirement. | ||
| 653 | |a Scientific notation. | ||
| 653 | |a Sequence. | ||
| 653 | |a Set (mathematics). | ||
| 653 | |a Significant figures. | ||
| 653 | |a Special case. | ||
| 653 | |a Standard deviation. | ||
| 653 | |a Statistical mechanics. | ||
| 653 | |a Stochastic process. | ||
| 653 | |a Subalgebra. | ||
| 653 | |a Subset. | ||
| 653 | |a Summation. | ||
| 653 | |a Theorem. | ||
| 653 | |a Theory. | ||
| 653 | |a Total variation. | ||
| 653 | |a Transfer principle. | ||
| 653 | |a Transfinite number. | ||
| 653 | |a Trigonometric functions. | ||
| 653 | |a Upper and lower bounds. | ||
| 653 | |a Variable (mathematics). | ||
| 653 | |a Variance. | ||
| 653 | |a Vector space. | ||
| 653 | |a W0. | ||
| 653 | |a Wiener process. | ||
| 653 | |a Without loss of generality. | ||
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t Princeton Annals of Mathematics eBook-Package 1940-2020 |z 9783110494914 |o ZDB-23-PMB |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t Princeton University Press eBook-Package Archive 1927-1999 |z 9783110442496 |
| 776 | 0 | |c print |z 9780691084749 | |
| 856 | 4 | 0 | |u https://doi.org/10.1515/9781400882144 |
| 856 | 4 | 0 | |u https://www.degruyter.com/isbn/9781400882144 |
| 856 | 4 | 2 | |3 Cover |u https://www.degruyter.com/document/cover/isbn/9781400882144/original |
| 912 | |a 978-3-11-044249-6 Princeton University Press eBook-Package Archive 1927-1999 |c 1927 |d 1999 | ||
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