๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Strong Approximation Theorems for Independent Random Variables and Their Applications

โœ Scribed by Q.M. Shao


Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
592 KB
Volume
52
Category
Article
ISSN
0047-259X

No coin nor oath required. For personal study only.

โœฆ Synopsis


This paper provides an elementary way to establish the general strong approximation theorems for independent random variables by using two special results of Sakhanenko. Applications to the law of the iterated logarithm and the strong law of large numbers are discussed. D1 1995 Academic Press, Inc.


๐Ÿ“œ SIMILAR VOLUMES


A theorem of renewal process for fuzzy r
โœ Chao-Ming Hwang ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 100 KB

The fuzzy set was introduced by Zadeh (1965) and the concept of fuzzy random variables was provided by Kwakernaak (1981). Sequences of independent and identical distributed fuzzy random variables were considered by Kruse (1982). He also showed the strong law of large numbers for fuzzy random variabl

A limit theorem for partial sums of rand
โœ Wen Liu; Jia-an Yan; Weiguo Yang ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 131 KB

In this paper, we establish a new limit theorem for partial sums of random variables. As corollaries, we generalize the extended Borel-Cantelli lemma, and obtain some strong laws of large numbers for Markov chains as well as a generalized strong ergodic theorem for irreducible and positive recurrent

On the Strong Law of Large Numbers and t
โœ D.L. Li; M.B. Rao; X.C. Wang ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 519 KB

Let \(\left\{X, X_{n} ; \vec{n} \in \mathbb{N}^{d}\right\}\) be a field of independent identically distributed real random variables, \(0<p<2\), and \(\left\{a_{\bar{n}, \bar{k}} ;(\bar{n}, \bar{k}) \in \mathbb{N}^{d} \times \mathbb{N}^{d}, \bar{k} \leqslant \bar{n}\right\}\) a triangular array of r