Mixing sequences of random variables and probabilistic number theory / / by Walter Philipp
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| Autore: |
Philipp Walter <1936->
|
| Titolo: |
Mixing sequences of random variables and probabilistic number theory / / by Walter Philipp
|
| Pubblicazione: | Providence : , : American Mathematical Society, , 1971 |
| Descrizione fisica: | 1 online resource (108 p.) |
| Disciplina: | 512/.7 |
| Soggetto topico: | Probabilistic number theory |
| Sequences (Mathematics) | |
| Random variables | |
| Soggetto genere / forma: | Electronic books. |
| Note generali: | Cover title. |
| Nota di bibliografia: | Includes bibliographical references. |
| 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"" | |
| Titolo autorizzato: | Mixing sequences of random variables and probabilistic number theory |
| ISBN: | 0-8218-9911-2 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910479922003321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Memoirs of the American Mathematical Society ; ; number 114.