Vai al contenuto principale della pagina
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 |