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Almost sure invariance principles for partial sums of weakly dependent random variables / / Walter Philipp and William Stout
| Almost sure invariance principles for partial sums of weakly dependent random variables / / Walter Philipp and William Stout |
| Autore | Philipp Walter <1936-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1975] |
| Descrizione fisica | 1 online resource (145 p.) |
| Disciplina |
510/.8 s
519.2 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Random variables
Partial sums (Series) Sequences (Mathematics) Stochastic processes |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0547-4 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Table of Contents""; ""Chapter 1. Introduction""; ""Chapter 2. Description of the Method""; ""Chapter 3. Lacunary Trigonometric Series with Unweighted Summands""; ""Chapter 4. Stationary Î?-mixing Sequences""; ""Chapter 5. Gaussian Sequences""; ""Chapter 6. Lacunary Trigonometric Series with Weights""; ""Chapter 7. Functions of Strongly Mixing Random Variables""; ""Chapter 8. Nonstationary Mixing Sequences""; ""Chapter 9. A Refinement of the Shannon-McMillan-Breiman Theorem""; ""Chapter 10. Markov Sequences""; ""Chapter 11. Retarded Asymptotic Martingale Difference Sequences""
""Chapter 12. Continuous Parameter Stochastic Processes""""Appendix 1. The Gaal-Koksma Strong Law of Large Numbers""; ""Appendix 2. An Example""; ""References"" |
| Record Nr. | UNINA-9910480122503321 |
Philipp Walter <1936->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [1975] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Almost sure invariance principles for partial sums of weakly dependent random variables / / Walter Philipp and William Stout
| Almost sure invariance principles for partial sums of weakly dependent random variables / / Walter Philipp and William Stout |
| Autore | Philipp Walter <1936-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1975] |
| Descrizione fisica | 1 online resource (145 p.) |
| Disciplina |
510/.8 s
519.2 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Random variables
Partial sums (Series) Sequences (Mathematics) Stochastic processes |
| ISBN | 1-4704-0547-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Table of Contents""; ""Chapter 1. Introduction""; ""Chapter 2. Description of the Method""; ""Chapter 3. Lacunary Trigonometric Series with Unweighted Summands""; ""Chapter 4. Stationary Î?-mixing Sequences""; ""Chapter 5. Gaussian Sequences""; ""Chapter 6. Lacunary Trigonometric Series with Weights""; ""Chapter 7. Functions of Strongly Mixing Random Variables""; ""Chapter 8. Nonstationary Mixing Sequences""; ""Chapter 9. A Refinement of the Shannon-McMillan-Breiman Theorem""; ""Chapter 10. Markov Sequences""; ""Chapter 11. Retarded Asymptotic Martingale Difference Sequences""
""Chapter 12. Continuous Parameter Stochastic Processes""""Appendix 1. The Gaal-Koksma Strong Law of Large Numbers""; ""Appendix 2. An Example""; ""References"" |
| Record Nr. | UNINA-9910788606803321 |
|
Philipp Walter <1936->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [1975] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Almost sure invariance principles for partial sums of weakly dependent random variables / / Walter Philipp and William Stout
| Almost sure invariance principles for partial sums of weakly dependent random variables / / Walter Philipp and William Stout |
| Autore | Philipp Walter <1936-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1975] |
| Descrizione fisica | 1 online resource (145 p.) |
| Disciplina |
510/.8 s
519.2 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Random variables
Partial sums (Series) Sequences (Mathematics) Stochastic processes |
| ISBN | 1-4704-0547-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Table of Contents""; ""Chapter 1. Introduction""; ""Chapter 2. Description of the Method""; ""Chapter 3. Lacunary Trigonometric Series with Unweighted Summands""; ""Chapter 4. Stationary Î?-mixing Sequences""; ""Chapter 5. Gaussian Sequences""; ""Chapter 6. Lacunary Trigonometric Series with Weights""; ""Chapter 7. Functions of Strongly Mixing Random Variables""; ""Chapter 8. Nonstationary Mixing Sequences""; ""Chapter 9. A Refinement of the Shannon-McMillan-Breiman Theorem""; ""Chapter 10. Markov Sequences""; ""Chapter 11. Retarded Asymptotic Martingale Difference Sequences""
""Chapter 12. Continuous Parameter Stochastic Processes""""Appendix 1. The Gaal-Koksma Strong Law of Large Numbers""; ""Appendix 2. An Example""; ""References"" |
| Record Nr. | UNINA-9910812518303321 |
|
Philipp Walter <1936->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [1975] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Mixing sequences of random variables and probabilistic number theory / / by Walter Philipp
| Mixing sequences of random variables and probabilistic number theory / / by Walter Philipp |
| Autore | Philipp Walter <1936-> |
| Pubbl/distr/stampa | Providence : , : American Mathematical Society, , 1971 |
| Descrizione fisica | 1 online resource (108 p.) |
| Disciplina | 512/.7 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Probabilistic number theory
Sequences (Mathematics) Random variables |
| Soggetto genere / forma | Electronic books. |
| ISBN | 0-8218-9911-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""1. Limit theorems for mixing sequences of random variables""; ""1.1. The central problem""; ""1.2. The central limit theorem with remainder and the law of the iterated logarithm""; ""1.3. An extension of the law of the iterated logarithm""; ""1.3.1. The upper bound""; ""1.3.2. The lower bound""; ""2. Limit theorems for continued fractions and related algorithms""; ""3. Limit theorems in Diophantine approximation""; ""3.1. Introduction""; ""3.2. Preliminaries""; ""3.3. The asymptotic behavior of N*""; ""3.3.1. Preparatory remarks""
""3.3.2. The law of the iterated logarithm and the central limit theorem for the y[sub(j)]'s and the z[sub(j)]'s""""3.3.3. Proof of Theorem 3.1.2*""; ""3.3.4. Proof of Theorem 3.1.1*""; ""3.4. The asymptotic behavior of N""; ""4. The law of the iterated logarithm for discrepancies of sequences uniformly distributed mod 1""; ""4.1. The discrepancies of almost all sequences (in the sense of the infinite product measure)""; ""4.2. The discrepancies of sequences of the type ""; ""5. The distribution of additive functions""; ""5.1. Kubiliusf fundamental lemma"" ""5.2. Preparatory lemmas""""5.3. Limit theorems for additive functions of class H""; ""5.4. A more direct method""; ""5.5. A result on uniform distribution""; ""References"" |
| Record Nr. | UNINA-9910479922003321 |
|
Philipp Walter <1936->
|
||
| Providence : , : American Mathematical Society, , 1971 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Mixing sequences of random variables and probabilistic number theory / / by Walter Philipp
| Mixing sequences of random variables and probabilistic number theory / / by Walter Philipp |
| Autore | Philipp Walter <1936-> |
| Pubbl/distr/stampa | Providence : , : American Mathematical Society, , 1971 |
| Descrizione fisica | 1 online resource (108 p.) |
| Disciplina | 512/.7 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Probabilistic number theory
Sequences (Mathematics) Random variables |
| ISBN | 0-8218-9911-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""1. Limit theorems for mixing sequences of random variables""; ""1.1. The central problem""; ""1.2. The central limit theorem with remainder and the law of the iterated logarithm""; ""1.3. An extension of the law of the iterated logarithm""; ""1.3.1. The upper bound""; ""1.3.2. The lower bound""; ""2. Limit theorems for continued fractions and related algorithms""; ""3. Limit theorems in Diophantine approximation""; ""3.1. Introduction""; ""3.2. Preliminaries""; ""3.3. The asymptotic behavior of N*""; ""3.3.1. Preparatory remarks""
""3.3.2. The law of the iterated logarithm and the central limit theorem for the y[sub(j)]'s and the z[sub(j)]'s""""3.3.3. Proof of Theorem 3.1.2*""; ""3.3.4. Proof of Theorem 3.1.1*""; ""3.4. The asymptotic behavior of N""; ""4. The law of the iterated logarithm for discrepancies of sequences uniformly distributed mod 1""; ""4.1. The discrepancies of almost all sequences (in the sense of the infinite product measure)""; ""4.2. The discrepancies of sequences of the type ""; ""5. The distribution of additive functions""; ""5.1. Kubiliusf fundamental lemma"" ""5.2. Preparatory lemmas""""5.3. Limit theorems for additive functions of class H""; ""5.4. A more direct method""; ""5.5. A result on uniform distribution""; ""References"" |
| Record Nr. | UNINA-9910788613003321 |
|
Philipp Walter <1936->
|
||
| Providence : , : American Mathematical Society, , 1971 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Mixing sequences of random variables and probabilistic number theory / / by Walter Philipp
| Mixing sequences of random variables and probabilistic number theory / / by Walter Philipp |
| Autore | Philipp Walter <1936-> |
| Pubbl/distr/stampa | Providence : , : American Mathematical Society, , 1971 |
| Descrizione fisica | 1 online resource (108 p.) |
| Disciplina | 512/.7 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Probabilistic number theory
Sequences (Mathematics) Random variables |
| ISBN | 0-8218-9911-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""1. Limit theorems for mixing sequences of random variables""; ""1.1. The central problem""; ""1.2. The central limit theorem with remainder and the law of the iterated logarithm""; ""1.3. An extension of the law of the iterated logarithm""; ""1.3.1. The upper bound""; ""1.3.2. The lower bound""; ""2. Limit theorems for continued fractions and related algorithms""; ""3. Limit theorems in Diophantine approximation""; ""3.1. Introduction""; ""3.2. Preliminaries""; ""3.3. The asymptotic behavior of N*""; ""3.3.1. Preparatory remarks""
""3.3.2. The law of the iterated logarithm and the central limit theorem for the y[sub(j)]'s and the z[sub(j)]'s""""3.3.3. Proof of Theorem 3.1.2*""; ""3.3.4. Proof of Theorem 3.1.1*""; ""3.4. The asymptotic behavior of N""; ""4. The law of the iterated logarithm for discrepancies of sequences uniformly distributed mod 1""; ""4.1. The discrepancies of almost all sequences (in the sense of the infinite product measure)""; ""4.2. The discrepancies of sequences of the type ""; ""5. The distribution of additive functions""; ""5.1. Kubiliusf fundamental lemma"" ""5.2. Preparatory lemmas""""5.3. Limit theorems for additive functions of class H""; ""5.4. A more direct method""; ""5.5. A result on uniform distribution""; ""References"" |
| Record Nr. | UNINA-9910828803403321 |
|
Philipp Walter <1936->
|
||
| Providence : , : American Mathematical Society, , 1971 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||