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Probability theory /
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | |
| 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- | |
| 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 | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a data file | ||
| 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 | ||
| 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://ebsco.uam.elogim.com/login.aspx?direct=true&scope=site&db=nlebk&AN=560545 |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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