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[null,"1.","Record Nr.",null,"UNINA9910154754503321"]
[null,null,"Autore",null,"Nelson Edward"]
[null,null,"Titolo",null,"Radically Elementary Probability Theory. (AM-117), Volume 117 / / Edward Nelson"]
[null,null,"Pubbl/distr/stampa",null,"Princeton, NJ : , : Princeton University Press, , [2016]"]
[{"$nulls":4},"©2016"]
[null,null,"ISBN",null,"1-4008-8214-1"]
[null,null,"Descrizione fisica",null,"1 online resource (109 pages) : illustrations"]
[null,null,"Collana",null,"Annals of Mathematics Studies ; ; 120"]
[null,null,"Disciplina",null,"519.2"]
[null,null,"Soggetti",null,"Martingales (Mathematics)"]
[{"$nulls":4},"Stochastic processes"]
[{"$nulls":4},"Probabilities"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Nota di bibliografia","Includes bibliographical references and index."]
[null,null,"Nota di contenuto",null,"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"]
[null,null,null,"Sommario/riassunto","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."]