A Berry--Esseen theorem for weakly negatively dependent random variables and its applications
β Scribed by Jianfeng Wang; Lixin Zhang
- Publisher
- Akadmiai Kiad
- Year
- 2006
- Tongue
- English
- Weight
- 242 KB
- Volume
- 110
- Category
- Article
- ISSN
- 1588-2632
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π SIMILAR VOLUMES
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
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