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Structural aspects in the theory of probability [[electronic resource] /] / by Herbert Heyer
| Structural aspects in the theory of probability [[electronic resource] /] / by Herbert Heyer |
| Autore | Heyer Herbert |
| Edizione | [2nd ed. /] |
| Pubbl/distr/stampa | New Jersey, : World Scientific, 2009 |
| Descrizione fisica | 1 online resource (425 p.) |
| Disciplina | 519.2 |
| Altri autori (Persone) |
PapGyula
HeyerHerbert |
| Collana | Series on multivariate analysis |
| Soggetto topico |
Probabilities
Topological groups Banach spaces Probability measures Abelian groups |
| ISBN |
1-282-76140-4
9786612761409 981-4282-49-9 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents; Preface to the second enlarged edition; Preface; 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
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 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 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 |
| Record Nr. | UNINA-9910780722703321 |
Heyer Herbert
|
||
| New Jersey, : World Scientific, 2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Structural aspects in the theory of probability [[electronic resource] /] / by Herbert Heyer
| Structural aspects in the theory of probability [[electronic resource] /] / by Herbert Heyer |
| Autore | Heyer Herbert |
| Edizione | [2nd ed. /] |
| Pubbl/distr/stampa | New Jersey, : World Scientific, 2009 |
| Descrizione fisica | 1 online resource (425 p.) |
| Disciplina | 519.2 |
| Altri autori (Persone) |
PapGyula
HeyerHerbert |
| Collana | Series on multivariate analysis |
| Soggetto topico |
Probabilities
Topological groups Banach spaces Probability measures Abelian groups |
| ISBN |
1-282-76140-4
9786612761409 981-4282-49-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents; Preface to the second enlarged edition; Preface; 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
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 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 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 |
| Record Nr. | UNINA-9910825590703321 |
|
Heyer Herbert
|
||
| New Jersey, : World Scientific, 2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Structural aspects of probability theory [[electronic resource] ] : a primer in probabilities on algebraic-topological structures / / Herbert Heyer
| Structural aspects of probability theory [[electronic resource] ] : a primer in probabilities on algebraic-topological structures / / Herbert Heyer |
| Autore | Heyer Herbert |
| Pubbl/distr/stampa | [River Edge, N.J.], : World Scientific, 2004 |
| Descrizione fisica | 1 online resource (399 p.) |
| Disciplina | 519.2 |
| Collana | Series on multivariate analysis |
| Soggetto topico |
Probabilities
Topological groups Banach spaces Probability measures Abelian groups |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-281-87227-X
9786611872274 981-256-228-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Structural Aspects in the Theory of Probability: A Primer in Probabilities on Algebraic - Topological Structures; Preface; Contents; 1 Probability Measures on Metric Spaces; 2 The Fourier Transform in a Banach Space; 3 The Structure of Infinitely Divisible Probability Measures; 4 Harmonic Analysis of Convolution Semigroups; 5 Negative Definite Functions and Convolution Semigroups; 6 Probabilistic Properties of Convolution Semigroups; Appendices; Selected References; Symbols; Index |
| Record Nr. | UNINA-9910450128903321 |
|
Heyer Herbert
|
||
| [River Edge, N.J.], : World Scientific, 2004 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Structural aspects of probability theory [[electronic resource] ] : a primer in probabilities on algebraic-topological structures / / Herbert Heyer
| Structural aspects of probability theory [[electronic resource] ] : a primer in probabilities on algebraic-topological structures / / Herbert Heyer |
| Autore | Heyer Herbert |
| Pubbl/distr/stampa | [River Edge, N.J.], : World Scientific, 2004 |
| Descrizione fisica | 1 online resource (399 p.) |
| Disciplina | 519.2 |
| Collana | Series on multivariate analysis |
| Soggetto topico |
Probabilities
Topological groups Banach spaces Probability measures Abelian groups |
| ISBN |
1-281-87227-X
9786611872274 981-256-228-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Structural Aspects in the Theory of Probability: A Primer in Probabilities on Algebraic - Topological Structures; Preface; Contents; 1 Probability Measures on Metric Spaces; 2 The Fourier Transform in a Banach Space; 3 The Structure of Infinitely Divisible Probability Measures; 4 Harmonic Analysis of Convolution Semigroups; 5 Negative Definite Functions and Convolution Semigroups; 6 Probabilistic Properties of Convolution Semigroups; Appendices; Selected References; Symbols; Index |
| Record Nr. | UNINA-9910783219003321 |
|
Heyer Herbert
|
||
| [River Edge, N.J.], : World Scientific, 2004 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Structural aspects of probability theory [[electronic resource] ] : a primer in probabilities on algebraic-topological structures / / Herbert Heyer
| Structural aspects of probability theory [[electronic resource] ] : a primer in probabilities on algebraic-topological structures / / Herbert Heyer |
| Autore | Heyer Herbert |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | [River Edge, N.J.], : World Scientific, 2004 |
| Descrizione fisica | 1 online resource (399 p.) |
| Disciplina | 519.2 |
| Collana | Series on multivariate analysis |
| Soggetto topico |
Probabilities
Topological groups Banach spaces Probability measures Abelian groups |
| ISBN |
1-281-87227-X
9786611872274 981-256-228-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Structural Aspects in the Theory of Probability: A Primer in Probabilities on Algebraic - Topological Structures; Preface; Contents; 1 Probability Measures on Metric Spaces; 2 The Fourier Transform in a Banach Space; 3 The Structure of Infinitely Divisible Probability Measures; 4 Harmonic Analysis of Convolution Semigroups; 5 Negative Definite Functions and Convolution Semigroups; 6 Probabilistic Properties of Convolution Semigroups; Appendices; Selected References; Symbols; Index |
| Record Nr. | UNINA-9910820324303321 |
|
Heyer Herbert
|
||
| [River Edge, N.J.], : World Scientific, 2004 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Unimodality of probability measures / by Emile M. J. Bertin, Ioan Cuculescu, and Radu Theodorescu
| Unimodality of probability measures / by Emile M. J. Bertin, Ioan Cuculescu, and Radu Theodorescu |
| Autore | Bertin, Emile M. J. |
| Pubbl/distr/stampa | Dordrecht ; Boston ; London : Kluwer Academic Publishers, 1997 |
| Descrizione fisica | xiv, 251 p. ; 25 cm |
| Disciplina | 519.2 |
| Altri autori (Persone) |
Cuculescu, Ioan
Theodorescu, Radu |
| Collana | Mathematics and its applications ; 382 |
| Soggetto topico | Probability measures |
| ISBN | 0792343182 |
| Classificazione |
AMS 60E05
LC QA273.6.B486 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991002580279707536 |
|
Bertin, Emile M. J.
|
||
| Dordrecht ; Boston ; London : Kluwer Academic Publishers, 1997 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
Soggetto topico
-
Probability measures
(46)
- Probabilities (9)
- Abelian groups (6)
- Banach spaces (6)
- Topological groups (6)