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Structural aspects in the theory of probability /
The book is conceived as a text accompanying the traditional graduate courses on probability theory. An important feature of this enlarged version is the emphasis on algebraic-topological aspects leading to a wider and deeper understanding of basic theorems such as those on the structure of continuo...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New Jersey :
World Scientific,
©2010.
|
| Edición: | 2nd enl. ed. / |
| Colección: | Series on multivariate analysis ;
v. 8. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 049 | |a UAMI | ||
| 100 | 1 | |a Heyer, Herbert. | |
| 245 | 1 | 0 | |a Structural aspects in the theory of probability / |c Herbert Heyer. |
| 250 | |a 2nd enl. ed. / |b with an additional chapter by Gyula Pap. | ||
| 260 | |a New Jersey : |b World Scientific, |c ©2010. | ||
| 300 | |a 1 online resource (xii, 412 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Series on multivariate analysis ; |v v. 8 | |
| 504 | |a Includes bibliographical references (pages 389-395) and index. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a Preface to the second enlarged edition; Preface; Contents; 1. Probability Measures on Metric Spaces; 1.1 Tight measures; 1.2 The topology of weak convergence; 1.3 The Prokhorov theorem; 1.4 Convolution of measures; 2. The Fourier Transform in a Banach Space; 2.1 Fourier transforms of probability measures; 2.2 Shift compact sets of probability measures; 2.3 Infinitely divisible and embeddable measures; 2.4 Gauss and Poisson measures; 3. The Structure of In nitely Divisible Probability Measures; 3.1 The Ito-Nisio theorem; 3.2 Fourier expansion and construction of Brownian motion. | |
| 505 | 8 | |a 3.3 Symmetric Levy measures and generalized Poisson measures3.4 The Levy-Khinchin decomposition; 4. Harmonic Analysis of Convolution Semigroups; 4.1 Convolution of Radon measures; 4.2 Duality of locally compact Abelian groups; 4.3 Positive definite functions; 4.4 Positive definite measures; 5. Negative Definite Functions and Convolution Semigroups; 5.1 Negative definite functions; 5.2 Convolution semigroups and resolvents; 5.3 Levy functions; 5.4 The L evy-Khinchin representation; 6. Probabilistic Properties of Convolution Semigroups; 6.1 Transient convolution semigroups. | |
| 505 | 8 | |a 6.2 The transience criterion6.3 Recurrent random walks; 6.4 Classification of transient random walks; 7. Hypergroups in Probability Theory; 7.1 Commutative hypergroups; I Introduction to hypergroups; II Some analysis on hypergroups; 7.2 Decomposition of convolution semigroups of measures; I Constructions of hypergroups; II Convolution semigroup of measures; 7.3 Random walks in hypergroups; I Transient random walks; II Limit theorems for random walks; 7.4 Increment processes and convolution semigroups; I Modification of increment processes; II Martingale characterizations of L evy processes. | |
| 505 | 8 | |a III Gaussian processes in a Sturm-Liouville hypergroupComments on the selection of references; 8. Limit Theorems on Locally Compact Abelian Groups; 8.1 Limit problems and parametrization of weakly infinitely divisible measures; 8.2 Gaiser's limit theorem; 8.3 Limit theorems for symmetric arrays and Bernoulli arrays; 8.4 Limit theorems for special locally compact Abelian groups; Appendices; A Topological groups; B Topological vector spaces; C Commutative Banach algebras; Selected References; Symbols; Index. | |
| 520 | |a The book is conceived as a text accompanying the traditional graduate courses on probability theory. An important feature of this enlarged version is the emphasis on algebraic-topological aspects leading to a wider and deeper understanding of basic theorems such as those on the structure of continuous convolution semigroups and the corresponding processes with independent increments. Fourier transformation - the method applied within the settings of Banach spaces, locally compact Abelian groups and commutative hypergroups - is given an in-depth discussion. This powerful analytic tool along wit. | ||
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Probabilities. | |
| 650 | 0 | |a Topological groups. | |
| 650 | 0 | |a Banach spaces. | |
| 650 | 0 | |a Probability measures. | |
| 650 | 0 | |a Abelian groups. | |
| 650 | 2 | |a Probability | |
| 650 | 6 | |a Probabilités. | |
| 650 | 6 | |a Groupes topologiques. | |
| 650 | 6 | |a Espaces de Banach. | |
| 650 | 6 | |a Mesures de probabilités. | |
| 650 | 6 | |a Groupes abéliens. | |
| 650 | 7 | |a probability. |2 aat | |
| 650 | 7 | |a MATHEMATICS |x Probability & Statistics |x General. |2 bisacsh | |
| 650 | 7 | |a Abelian groups |2 fast | |
| 650 | 7 | |a Banach spaces |2 fast | |
| 650 | 7 | |a Probabilities |2 fast | |
| 650 | 7 | |a Probability measures |2 fast | |
| 650 | 7 | |a Topological groups |2 fast | |
| 700 | 1 | |a Pap, Gyula. | |
| 700 | 1 | |a Heyer, Herbert. |t Structural aspects of probability theory. | |
| 776 | 0 | 8 | |i Print version: |a Heyer, Herbert. |t Structural aspects in the theory of probability. |b 2nd ed. |d New Jersey : World Scientific, 2010 |z 9789814282482 |w (DLC) 2009021970 |w (OCoLC)373474750 |
| 830 | 0 | |a Series on multivariate analysis ; |v v. 8. | |
| 856 | 4 | 0 | |u https://ebsco.uam.elogim.com/login.aspx?direct=true&scope=site&db=nlebk&AN=340559 |z Texto completo |
| 938 | |a EBL - Ebook Library |b EBLB |n EBL1679582 | ||
| 938 | |a EBSCOhost |b EBSC |n 340559 | ||
| 994 | |a 92 |b IZTAP | ||