✦ LIBER ✦

Two Remarks on the Almost Sure Central Limit Theorem

✍ Scribed by Peter Schatte

Publisher: John Wiley and Sons
Year: 1991
Tongue: English
Weight: 192 KB
Volume: 154
Category: Article
ISSN: 0025-584X
DOI: 10.1002/mana.19911540119

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

On the almost sure central limit theorem

On the almost sure central limit theorem for randomly indexed sums

✍ A. Krajka; J. Wasiura 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 169 KB 👁 1 views

## Abstract Let {__S~n~__, __n__ ≥ 1} be partial sums of independent identically distributed random variables. The almost sure version of CLT is generalized on the case of randomly indexed sums {__S~Nn~__, __n__ ≥ 1}, where {__N~n~__, __n__ ≥ 1} is a sequence of positive integer‐valued random varia

Almost sure central limit theorems for r

Almost sure central limit theorems for random fields

✍ István Fazekas; Zdzisław Rychlik 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English ⚖ 133 KB 👁 1 views

## Abstract A general almost sure limit theorem is presented for random fields. It is applied to obtain almost sure versions of some (functional) central limit theorems. (© 2003 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

An Almost Sure Central Limit Theorem for

An Almost Sure Central Limit Theorem for Stochastic Approximation Algorithms

✍ Mariane Pelletier 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 154 KB

We prove an almost sure central limit theorem for some multidimensional stochastic algorithms used for the search of zeros of a function and known to satisfy a central limit theorem. The almost sure version of the central limit theorem requires either a logarithmic empirical mean (in the same way as

Almost sure central limit theorem for pa

Almost sure central limit theorem for partial sums and maxima

✍ Peng Zuoxiang; Wang Lili; Saralees Nadarajah 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 107 KB 👁 1 views

## Abstract Let __X__, __X__~1~, __X__~2~, … be i.i.d. random variables with nondegenerate common distribution function __F__, satisfying __EX__ = 0, __EX__^2^ = 1. Let __X~i~__ and __M~n~__ = max{__X~i~__, 1 ≤ __i__ ≤ __n__ }. Suppose there exists constants __a~n~__ > 0, __b~n~__ ∈ __R__ and a non

Remark on Moderate Deviations in the Mul

Remark on Moderate Deviations in the Multidimensional Central Limit Theorem

✍ Wolf-Dieter Richter 📂 Article 📅 1985 🏛 John Wiley and Sons 🌐 English ⚖ 327 KB 👁 1 views

On Strong Versions of the Central Limit

On Strong Versions of the Central Limit Theorem

✍ Peter Schatte 📂 Article 📅 1988 🏛 John Wiley and Sons 🌐 English ⚖ 305 KB 👁 1 views