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Binary digit representation of moments for maximum partial sums of random variables and applications

✍ Scribed by Chun Su; Xiang Chi

Publisher
Springer
Year
1999
Tongue
English
Weight
190 KB
Volume
44
Category
Article
ISSN
1001-6538

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πŸ“œ SIMILAR VOLUMES

Some Inequalities for the Maximum of Par
Some Inequalities for the Maximum of Partial Sums of Random Variables
✍ J. MogyorΓ³di πŸ“‚ Article πŸ“… 1975 πŸ› John Wiley and Sons 🌐 English βš– 623 KB

is non-decreasing. Thus, if one applies the c,-inequality, the inequality follows trivially. From this and from the preceding inequality we obtain By our condition the sums on the right hand side converge to 0 as n -+ + 00. This proves the assertion. Remarks. It is easy to see that for p > 2 our c

A limit theorem for partial sums of rand
A limit theorem for partial sums of random variables and its applications
✍ Wen Liu; Jia-an Yan; Weiguo Yang πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 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