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Mixing sequences of random variables and probabilistic number theory / / by Walter Philipp



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Autore: Philipp Walter <1936-> Visualizza persona
Titolo: Mixing sequences of random variables and probabilistic number theory / / by Walter Philipp Visualizza cluster
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  Visualizza cluster
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
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Serie: Memoirs of the American Mathematical Society ; ; number 114.