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Probability theory /

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Bauer, Heinz, 1928-
Otros Autores: Burckel, Robert B.
Formato: Electrónico eBook
Idioma:Inglés
Alemán
Publicado: Berlin ; New York : Walter de Gruyter, 1996.
Colección:De Gruyter studies in mathematics ; 23.
Temas:
Acceso en línea:Texto completo

MARC

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100 1 |a Bauer, Heinz,  |d 1928-  |1 https://id.oclc.org/worldcat/entity/E39PBJrm444XBx4PRtGDdRTrbd 
240 1 0 |a Wahrscheinlichkeitstheorie.  |l English 
245 1 0 |a Probability theory /  |c Heinz Bauer ; translated from the German by Robert B. Burckel. 
260 |a Berlin ;  |a New York :  |b Walter de Gruyter,  |c 1996. 
300 |a 1 online resource (xv, 523 pages) :  |b illustrations 
336 |a text  |b txt  |2 rdacontent 
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490 1 |a De Gruyter studies in mathematics ;  |v 23 
504 |a Includes bibliographical references (pages 493-500) and indexes. 
505 0 |a 23 Uniqueness and Continuity Theorems24 Normal distribution and independence; 25 Differentiability of Fourier transforms; 26 Continuous mappings into the circle; Chapter VI Limit Distributions; 27 Examples of limit theorems; 28 The Central Limit Theorem; 29 Infinitely divisible distributions; 30 Gauss measures and multi-dimensional central limit theorem; Chapter VII Law of the Iterated Logarithm; 31 Posing the question and elementary preparations; 32 Probabilistic preparations; 33 Strassen's theorem of the iterated logarithm; 34 Supplements. 
505 0 |a 49 Optional times and optional sampling50 The strong Markov property; 51 Prospectus; Bibliography; Symbol Index; Name Index; General Index. 
505 0 |a 9 Infinite products of probability spacesChapter III Laws of Large Numbers; 10 Posing the question; 11 Zero-one laws; 12 Strong Law of Large Numbers; 13 Applications; 14 Almost sure convergence of infinite series; Chapter IV Martingales; 15 Conditional expectations; 16 Martingales -- definition and examples; 17 Transformation via optional times; 18 Inequalities for supermartingales; 19 Convergence theorems; 20 Applications; Chapter V Fourier Analysis; 21 Integration of complex-valued functions; 22 Fourier transformation and characteristic functions. 
505 0 |a Chapter VIII Construction of Stochastic Processes35 Projective limits of probability measures; 36 Kernels and semigroups of kernels; 37 Processes with stationary and independent increments; 38 Processes with pre-assigned path-set; 39 Continuous modifications; 40 Brownian motion as a stochastic process; 41 Poisson processes; 42 Markov processes; 43 Gauss processes; 44 Conditional distributions; Chapter IX Brownian Motion; 45 Brownian motion with filtration and martingales; 46 Maximal inequalities for martingales; 47 Behavior of Brownian paths; 48 Examples of stochastic integrals. 
546 |a English. 
590 |a eBooks on EBSCOhost  |b EBSCO eBook Subscription Academic Collection - Worldwide 
590 |a ProQuest Ebook Central  |b Ebook Central Academic Complete 
650 0 |a Probabilities. 
650 6 |a Probabilités. 
650 7 |a probability.  |2 aat 
650 7 |a MATHEMATICS  |x Probability & Statistics  |x General.  |2 bisacsh 
650 7 |a Probabilities  |2 fast 
700 1 |a Burckel, Robert B. 
776 0 8 |i Print version:  |a Bauer, Heinz, 1928-  |s Wahrscheinlichkeitstheorie. English.  |t Probability theory.  |d Berlin ; New York : Walter de Gruyter, 1996  |w (DLC) 95039173 
830 0 |a De Gruyter studies in mathematics ;  |v 23. 
856 4 0 |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=928950  |z Texto completo 
880 0 |6 505-00/(S  |a Preface; Table of Contents; Interdependence of chapters; Notation; Introduction; Chapter I Basic Concepts of the Theory; 1 Probability spaces and the language of probability theory; 2 Laplace experiments and conditional probabilities; 3 Random variables: Distribution, expected value, variance, Jensen's inequality; 4 Special distributions and their properties; 5 Convergence of random variables and distributions; Chapter II Independence; 6 Independent events and σ-algebras; 7 Independent random variables; 8 Products and sums of independent random variables 
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