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A functional limit theorem forη-weakly dependent processes and its applications

✍ Scribed by Jean-Marc Bardet; Paul Doukhan; José Rafael León


Publisher
Springer Netherlands
Year
2007
Tongue
English
Weight
252 KB
Volume
11
Category
Article
ISSN
1387-0874

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A limit theorem for partial sums of rand
✍ Wen Liu; Jia-an Yan; Weiguo Yang 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 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